Mercurial > ~dholland > hg > ag > index.cgi
annotate doc/misc/html/gloss.html @ 0:13d2b8934445
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author | David A. Holland |
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date | Sat, 22 Dec 2007 17:52:45 -0500 |
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1 <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN"> |
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2 <HTML> |
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3 <HEAD> |
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4 <TITLE>Glossary of Parsing Terms</TITLE> |
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5 |
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6 </HEAD> |
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7 |
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8 <BODY BGCOLOR="#ffffff" BACKGROUND="tilbl6h.gif" |
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9 TEXT="#000000" LINK="#0033CC" |
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10 VLINK="#CC0033" ALINK="#CC0099"> |
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11 |
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12 <P> |
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13 <IMG ALIGN="right" SRC="images/agrsl6c.gif" ALT="AnaGram" |
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14 WIDTH=124 HEIGHT=30> |
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15 <BR CLEAR="RIGHT"> |
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16 </P> |
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17 |
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18 Back to <A HREF="index.html">Index</A> |
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19 <P> |
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20 <IMG ALIGN="bottom" SRC="images/rbline6j.gif" ALT="----------------------" |
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21 WIDTH=1010 HEIGHT=2 > |
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22 |
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23 <P> |
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24 <H2>Glossary of Parsing Terms</H2> |
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25 <IMG ALIGN="bottom" SRC="images/rbline6j.gif" ALT="----------------------" |
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26 WIDTH=1010 HEIGHT=2 > |
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27 </P> |
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28 |
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29 <P> |
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30 <TABLE WIDTH="100%" ALIGN="center" CELLPADDING=15 CELLSPACING=15> |
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31 <TR ALIGN="left"> |
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32 |
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33 <TD VALIGN=TOP NOWRAP WIDTH="50%"> |
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34 |
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35 |
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36 |
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37 <A HREF="#ParserAction">Action</A><BR> |
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38 <A HREF="#AcceptAction">Accept Action</A><BR> |
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39 <A HREF="#Associativity">Associativity</A><BR> |
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40 <A HREF="#Backtracking">Backtracking</A><BR> |
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41 <A HREF="#BNF">Backus-Naur Form</A><BR> |
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42 <A HREF="#BinaryOperator">Binary operator</A><BR> |
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43 <A HREF="#Binding">Binding</A><BR> |
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44 <A HREF="#CharacterSets">Character sets</A><BR> |
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45 <A HREF="#Universe">Character Universe</A><BR> |
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46 <A HREF="#CharacteristicRule">Characteristic Rule</A><BR> |
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47 <A HREF="#CharacteristicToken">Characteristic Token</A><BR> |
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48 <A HREF="#SetComplement">Complement of a set</A><BR> |
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49 <A HREF="#CompletedRule">Completed Rule</A><BR> |
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50 <A HREF="#Conflict">Conflict</A><BR> |
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51 <A HREF="#ContextFreeGrammar">Context Free Grammars</A><BR> |
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52 <A HREF="#DefaultReduction">Default reductions</A><BR> |
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53 <A HREF="#SetDifference">Difference of two sets</A><BR> |
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54 <A HREF="#ErrorAction">Error Action</A><BR> |
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55 <A HREF="#EventDriven">Event Driven Parser</A><BR> |
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56 <A HREF="#ExpansionRule">Expansion Rule</A><BR> |
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57 <A HREF="#Grammar">Grammar</A><BR> |
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58 <A HREF="#GrammarAnalysis">Grammar Analysis</A><BR> |
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59 <A HREF="#GrammarRule">Grammar Rule</A><BR> |
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60 <A HREF="#GrammarToken">Grammar Token</A><BR> |
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61 <A HREF="#SetIntersection">Intersection</A><BR> |
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62 <A HREF="#LALRParsing">LALR parsing</A><BR> |
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63 <A HREF="#LexicalScanner">Lexical Scanner</A><BR> |
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64 <A HREF="#Lookahead">Lookahead Token</A><BR> |
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65 <A HREF="#LRParsing">LR Parsing</A><BR> |
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66 <A HREF="#MarkedRule">Marked Rule</A><BR> |
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67 <A HREF="#NonAssociative">Non-associative</A><BR> |
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68 </TD> |
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69 |
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70 <TD VALIGN=TOP NOWRAP WIDTH="50%"> |
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71 <A HREF="#Nonterminal">Nonterminal Token</A><BR> |
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72 <A HREF="#NullProduction">Null Production</A><BR> |
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73 <A HREF="#ParameterAssignment">Parameter Assignment</A><BR> |
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74 <A HREF="#Parser">Parser</A><BR> |
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75 <A HREF="#ParserGenerator">Parser Generator</A><BR> |
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76 <A HREF="#ParserStateStack">Parser State Stack</A><BR> |
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77 <A HREF="#ParserValueStack">Parser Value Stack</A><BR> |
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78 <A HREF="#ParsingEngine">Parsing Engine</A><BR> |
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79 <A HREF="#SetPartition">Partition</A><BR> |
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80 <A HREF="#Precedence">Precedence</A><BR> |
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81 <A HREF="#Production">Production</A><BR> |
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82 <A HREF="#ReduceAction">Reduce Action</A><BR> |
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83 <A HREF="#ReduceReduce">Reduce-Reduce Conflict</A><BR> |
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84 <A HREF="#ReducingToken">Reducing Token</A><BR> |
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85 <A HREF="#ReductionProcedure">Reduction Procedure</A><BR> |
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86 <A HREF="#ReductionToken">Reduction Token</A><BR> |
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87 <A HREF="#Resynchronization">Resynchronization</A><BR> |
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88 <A HREF="#RuleElement">Rule Element</A><BR> |
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89 <A HREF="#SemanticAction">Semantic Action</A><BR> |
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90 <A HREF="#SemanticValue">Semantic Value</A><BR> |
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91 <A HREF="#SemanticallyDetermined">Semantically Determined Production</A><BR> |
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92 <A HREF="#SetExpression">Set Expression</A><BR> |
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93 <A HREF="#ShiftAction">Shift Action</A><BR> |
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94 <A HREF="#ShiftReduce">Shift-Reduce Conflict</A><BR> |
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95 <A HREF="#SyntaxDirectedParsing">Syntax Directed Parsing</A><BR> |
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96 <A HREF="#Terminal">Terminal Token</A><BR> |
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97 <A HREF="#Token">Token</A><BR> |
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98 <A HREF="#UnaryOperator">Unary Operator</A><BR> |
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99 <A HREF="#SetUnion">Union</A><BR> |
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100 <A HREF="#VirtualProduction">Virtual Production</A><BR> |
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101 |
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102 </TD> |
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103 |
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104 </TABLE> |
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105 |
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106 <HR> |
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107 |
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108 |
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109 |
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110 <DL> |
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111 <DT><B><A NAME="ParserAction">Action</A></B></DT> |
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112 <DD>A "parser action" is one of the basic executable elements of a |
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113 <A HREF="#ParsingEngine">parsing engine</A>. In a traditional parsing engine |
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114 there are four actions: the |
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115 <A HREF="#ShiftAction">shift action</A>, the <A HREF="#ReduceAction">reduce |
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116 action</A>, the <A HREF="#AcceptAction">accept action</A>, and the |
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117 <A HREF="#ErrorAction">error action</A>. The parsing engines which AnaGram |
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118 generates use a substantially greater number of actions, in order to provide |
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119 certain short cuts in the interest of greater speed and greater compactness of |
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120 the tables which control the action of the parsing engine. |
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121 <P></P> |
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122 </DD> |
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123 |
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124 <DT><B><A NAME="AcceptAction">Accept Action</A></B></DT> |
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125 <DD> The accept <A HREF="#ParserAction">action</A> is one of the four actions |
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126 of a traditional <A HREF="#ParsingEngine">parsing engine</A>. The accept action |
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127 is performed when the <A HREF="#Parser">parser</A> has succeeded in identifying |
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128 the <A HREF="#GrammarToken">goal token</A> for the <A HREF="#Grammar">grammar</A>. |
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129 When the parser executes the accept action, it returns to the calling program. |
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130 The accept action is thus the last action of |
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131 the parsing engine and occurs only once for each successful execution |
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132 of the parser. |
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133 |
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134 <P></P> |
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135 </DD> |
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136 |
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137 <DT><B><A NAME="Associativity">Associativity</A></B></DT> |
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138 <DD> This is a term used to describe <A HREF="#BinaryOperator">binary |
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139 operators </A>. It describes how you interpret a sequence of operations which |
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140 all involve the same operator. Consider a - b - c, for instance. Here the |
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141 convention is that we subtract b from a, and then c from the difference. We say |
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142 that subtraction is <B>left associative</B>, since if there is a sequence of |
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143 subtraction operations, the leftmost one is to be performed first. As a second |
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144 example, consider exponentiation. FORTRAN uses ** as an operator to indicate |
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145 exponentiation. In order to conform as closely as possible to ordinary |
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146 mathematical notation, the expression a**b**c is interpreted to mean that first |
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147 b is raised to the power c, and then the resultant value is used as the power to |
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148 which a is raised. We say that exponentiation is <B>right associative</B> since the |
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149 rightmost of a sequence of exponentiation operations is to be performed first. |
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150 If a programming language does not allow for unparenthesized sequences of a |
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151 particular operator, the operator is said to be non-associative.<P> |
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152 Another way to view left and right associativity is as implied parenthesization. |
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153 Left associative operators are parenthesized from the left. Right associative |
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154 operators are parenthesized from the right. Thus a - b - c = ((a-b) - c) and |
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155 a**b**c = (a**(b**c))</P><P> |
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156 AnaGram offers two ways to specify associativity of |
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157 <A HREF="#BinaryOperator">binary operators</A>. The first |
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158 way is to use conventional <A HREF="#BNF">Backus-Naur Form</A> syntax |
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159 descriptions. You would userecursion to describe both subtraction and |
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160 exponentiation. Subtraction, since it is left associative, uses left recursion, |
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161 and exponentiation, being right associative, uses right recursion. Thus</P><P> |
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162 </P><PRE> |
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163 difference -> value | difference, '-', value |
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164 exponential -> value | value, "**", exponential |
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165 </PRE> could be used to describe differences and exponents.<P> |
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166 The second way to specify associativity is to use an ambiguous <A HREF="#Grammar">grammar</A> and |
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167 precedence declarations. (See Chapter 9, AnaGram User's Guide.)</P><P> |
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168 </P></DD> |
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169 |
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170 <DT><B><A NAME="Backtracking">Backtracking</A></B></DT> |
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171 <DD> In order to make parse tables more compact and <A HREF="#Parser">parsers</A> faster, it is |
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172 common to use <A HREF="#DefaultReduction">default reductions</A>. In case of |
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173 error, it is necessary to undo default reductions before diagnostics can be |
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174 properly determined. In AnaGram, this undo operation is called backtracking.<P> |
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175 |
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176 </P></DD> |
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177 |
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178 <DT><B><A NAME="BNF">Backus-Naur Form</A></B></DT> |
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179 <DD> Backus-Naur Form, or BNF, is a conventional notation for describing |
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180 <A HREF="#ContextFreeGrammar">context free grammars</A>. AnaGram uses an |
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181 extended notation for <A HREF="#Grammar">grammars</A>, which, except for |
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182 <A HREF="#SemanticallyDetermined">semantically determined |
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183 productions</A>, can be shown to be equivalent to BNF. The term "BNF" is |
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184 often used colloquially to refer to a grammar specification.<P> |
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185 AnaGram's syntax specification language differs from BNF in the following |
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186 respects: |
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187 </P><OL> |
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188 <LI>In conventional BNF, a symbol not enclosed in angle brackets (< >) is |
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189 taken to represent itself literally. In AnaGram, literal character |
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190 representations must be enclosed in single quotes and literal strings within |
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191 double quotes. |
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192 </LI> |
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193 <LI>In BNF, the right side of a <A HREF="#Production">production</A> is simply a list of symbols without |
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194 any delimiters or punctuation. AnaGram requires that the <A HREF="#RuleElement">rule elements</A> which |
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195 make up a <A HREF="#GrammarRule">grammar rule</A>, or right side, be joined by commas. |
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196 </LI> |
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197 <LI>BNF makes no provision for identifying <A HREF="#ReductionProcedure">reduction procedures</A> or their |
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198 arguments. AnaGram provides both reduction procedures, introduced by an "=" |
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199 at the end of the production, and named arguments, introduced by a ":" |
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200 at the end of any <A HREF="#Token">token</A> on the right side of the production. |
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201 </LI> |
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202 <LI>AnaGram allows <A HREF="#VirtualProduction">virtual productions</A> to be used freely. |
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203 </LI> |
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204 <LI>BNF is "pure" in that if you wish to define a <A HREF="#Nonterminal">nonterminal token</A> |
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205 called "digit" to represent the digits from zero to nine, you must |
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206 provide ten explicit productions to define it. AnaGram treats the concept of <A HREF="#Terminal">"terminal |
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207 token"</A> as used in language theory as an abstraction, and interposes |
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208 <A HREF="#CharacterSets">character set</A> functionality between actual character input and the terminal |
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209 tokens of BNF. You can define digit to be the character range '0-9', for |
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210 instance, and AnaGram will determine and define precisely the minimum number of |
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211 productions necessary, taking into account any other usage of the characters |
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212 '0-9' in your grammar. This makes your grammar more compact, more manageable, |
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213 and easier to modify. |
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214 </LI> |
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215 <LI>AnaGram allows for <A HREF="#SemanticallyDetermined"> |
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216 semantically determined productions</A>, which provide a |
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217 significant mechanism for melding semantic analysis with syntactic |
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218 analysis. |
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219 |
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220 </LI> |
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221 </OL> |
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222 </DD> |
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223 |
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224 <DT><B><A NAME="BinaryOperator">Binary operator</A></B></DT> |
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225 <DD> A binary operator is an operator that works on two operands to create a |
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226 result. It is often written between its operands and is sometimes called an |
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227 infix operator. In ordinary programming languages "+" and "-" |
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228 are binary operators. |
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229 <P></P> |
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230 </DD> |
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231 |
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232 <DT><B><A NAME="Binding">Binding</A></B></DT> |
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233 <DD> Most programming languages, rather than executing arithmetic operators in |
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234 simple left to right order, conform to the traditional conventions of ordinary |
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235 algebra, which dictate that, except where parenthesis indicate otherwise, |
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236 exponentiation is done before multiplication, multiplication before addition, |
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237 and addition before comparison. One says that exponentiation is "more |
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238 tightly binding" than multiplication, multiplication is more tightly |
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239 binding than addition, and so on. The sense of the word here is that the |
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240 operator binds together its operands into a single entity. An operand which |
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241 falls between two different operators is "bound" by the more tightly |
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242 binding operator. An operator that is more tightly binding than another is also |
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243 said to have higher <A HREF="#Precedence">precedence</A>. |
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244 <P></P> |
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245 </DD> |
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246 |
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247 <DT><B><A NAME="CharacterSets">Character sets</A></B></DT> |
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248 <DD> One of the traditional problems with syntax directed programming is that |
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249 caused by the fact that most formal language specifications have productions of |
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250 the form: |
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251 <PRE> |
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252 letter -> a | b | c | d ... | z |
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253 </PRE> Since the letters are not often distinguished in the <A HREF = "#Grammar">grammar</A>, this large |
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254 number of essentially identical <A HREF="#Production">productions</A> causes a correspondingly large |
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255 number of states in the <A HREF="#Parser">parser</A>. This problem is often attacked by using a<A |
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256 HREF="#LexicalScanner"> "lexical scanner"</A> which simply specifies |
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257 a "letter token" whose value indicates precisely which letter is |
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258 intended. This works fine as long as there is nothing in the grammar which |
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259 distinguishes any letter at all. If there is, and there is usually some special |
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260 use of h, x, q, o, e, or even a-f, the situation gets more complicated. Often the |
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261 result is to abandon the use of syntax directed programming for elemental units |
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262 of the language and use a more complex lexical scanner which identifies names, |
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263 numbers, key words and operators. Such lexical scanners are often built using |
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264 conventional programming languages or simple pattern recognizing languages such |
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265 as LEX.<P> |
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266 AnaGram avoids this problem by incorporation the notion of character set into |
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267 its input specifications. Briefly, the way it works is the following: You |
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268 specify the set of characters which make up any ostensibly <A HREF="#Terminal">terminal token</A>. |
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269 AnaGram then analyzes the overlaps among these definitions and creates a minimal |
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270 set of <A HREF="#Token">tokens</A> which match your specifications exactly. For instance, suppose you |
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271 have the following definitions: |
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272 </P><PRE> |
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273 letter = 'a-z' + 'A-Z' |
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274 hex digit = '0-9' + 'a-f' + 'A-F' |
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275 </PRE> AnaGram will define a token for letter which has two productions: |
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276 <PRE> |
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277 letter -> 'a-f' + 'A-F' | 'g-z' + 'G-Z' |
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278 </PRE> With this technique, you have the freedom to specify your grammar in the |
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279 easiest possible manner, without the penalty of an absurdly large, slow parser.<P> |
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280 Character sets may be specified in terms of ranges of characters, as in the |
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281 above example, as <A HREF="#SetUnion">unions</A>, denoted by "+", as |
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282 <A HREF="#SetIntersection">intersections</A>, denoted by "&", as |
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283 <A HREF="#SetDifference">differences,</A> denoted by "-", and as |
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284 <A HREF="#SetComplement">complements</A>, using "~". You may also |
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285 specify a set consisting of a single character either with a literal character |
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286 or with a numeric specification. If you specify a character numerically, you may |
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287 use either decimal, octal or hexadecimal notation, as in C. |
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288 </P><P></P> |
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289 </DD> |
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290 |
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291 <DT><B><A NAME="Universe">Character Universe</A></B></DT> |
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292 <DD> In ordinary set theory, the "universe" is the set of all |
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293 entities which may be elements of a set. It must be defined so that the |
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294 complement of a set can mean something unambiguous. In AnaGram, the character |
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295 universe normally comprises the ascii characters and the IBM extended character |
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296 set, that is, all characters in the range from 0 through 255. If, however, you |
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297 have defined input characters outside this range, the character universe will be |
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298 extended to the least character you have used and to the greatest character you |
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299 have used in your <A HREF = "#Grammar">grammar</A>. |
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300 <P></P> |
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301 </DD> |
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302 |
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303 <DT><B><A NAME="CharacteristicRule">Characteristic Rule</A></B></DT> |
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304 <DD> Each parser state is characterized by a particular set of <A HREF="#GrammarRule">grammar rules</A>, |
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305 and for each such rule, a marked token which is the next <A HREF="#Token">token</A> expected. These |
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306 rules are called the characteristic rules for the state. In the course of doing |
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307 <A HREF="#GrammarAnalysis">grammar analysis</A>, AnaGram determines the characteristic rules for each parser |
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308 state. After analyzing your grammar, you may inspect the State Definition Table |
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309 to see the characteristic rules for any state in your <A HREF="#Parser">parser</A>. |
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310 <P></P> |
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311 </DD> |
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312 |
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313 <DT><B><A NAME="CharacteristicToken">Characteristic Token</A></B></DT> |
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314 <DD> Every state in a <A HREF="#Parser">parser</A>, except state zero, can be characterized by the |
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315 one, unique <A HREF="#Token">token</A> which causes a jump to that state. That token is called the |
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316 characteristic token of the state, because to get to that parser state you must |
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317 have just seen precisely that token in the input. Note that several states could |
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318 have the same characteristic token.<P> |
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319 When you have a list of states, such as is given by the parser state stack, it |
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320 is equivalent to a list of characteristic tokens. This list of tokens is the |
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321 list of tokens that have been recognized so far by the parser. Some of these |
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322 tokens, of course, may be <A HREF="#Nonterminal">nonterminal tokens</A> and may thus represent the result |
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323 of reducing a sequence of previously recognized tokens. |
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324 </P> |
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325 <P></P> |
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326 </DD> |
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327 |
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328 <DT><B><A NAME="SetComplement">Complement of a set</A></B></DT> |
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329 <DD> In set theory, the complement of a set, S, is the collection of all |
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330 elements of the <A HREF="#Universe">character universe</A> which are not elements of S. Using AnaGram's |
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331 notation, the complement of S is written ~S. The complement operator has higher |
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332 <A HREF="#Precedence">precedence</A> than the |
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333 <A HREF="#SetDifference">difference</A>, <A HREF="#SetIntersection">intersection</A>, or <A HREF="#SetUnion">union</A> operators. |
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334 <P></P> |
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335 </DD> |
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336 |
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337 <DT><B><A NAME="CompletedRule">Completed Rule</A></B></DT> |
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338 <DD> A "completed rule" is a <A HREF="#CharacteristicRule">characteristic rule</A> whose index is |
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339 pointing beyond the last <A HREF="#RuleElement">rule element</A>. In other words, it has been completely |
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340 matched and will be <A HREF="#ReduceAction">reduced</A> by the next input. |
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341 <P> |
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342 If a state has more than one completed rule, the decision as to which to reduce |
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343 is made based on the next input <A HREF="#Token">token</A>. If there is only one completed rule in a |
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344 state, it will be reduced by default unless the default reductions switch has |
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345 been reset, i.e., turned off. |
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346 </P></DD> |
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347 <DT><B><A NAME="Conflict">Conflict</A></B></DT> |
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348 <DD> Conflicts arise during a <A HREF="#GrammarAnalysis">grammar analysis</A> when AnaGram cannot determine |
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349 how to treat a given input <A HREF="#Token">token</A>. There are two sorts of conflicts: <A HREF="#ShiftReduce">shift-reduce |
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350 conflicts</A> and <A HREF="#ReduceReduce">reduce-reduce conflicts</A>. Conflicts may arise either because the |
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351 <A HREF = "#Grammar">grammar</A> is inherently ambiguous, or simply because the grammar analyzer cannot |
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352 look far enough ahead to resolve the conflict. In the latter case, it is often |
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353 possible to rewrite the grammar in such a way as to eliminate the conflict. <A HREF="#NullProduction">Null |
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354 productions</A> are a common source of conflict. |
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355 <P> |
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356 There are a number of ways to deal with conflicts. If you understand the |
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357 conflict well, you may simply choose to ignore it. When AnaGram encounters a |
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358 shift-reduce conflict while building parse tables it resolves it by choosing the |
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359 <A HREF="#ShiftAction">shift action</A>. When AnaGram encounters a reduce-reduce conflict while building |
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360 parse tables, it resolves it by selecting the <A HREF="#GrammarRule">grammar rule</A> which occurred first |
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361 in the grammar. |
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362 </P><P> |
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363 A second way to deal with conflicts is to set operator <A HREF="#Precedence">precedence</A> parameters. If |
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364 you set these parameters, AnaGram will use them preferentially to resolve |
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365 conflicts. Any conflicts so resolved will be listed in the Resolved Conflicts |
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366 window. |
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367 </P><P> |
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368 A third way to resolve a conflict is to declare some tokens as sticky or as |
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369 subgrammars. This is particularly useful for <A HREF="#Production">productions</A> whose sole purpose is |
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370 to skip over uninteresting input.</P><P> |
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371 </P><P> |
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372 The fourth way to deal with conflicts is to rewrite the grammar to eliminate |
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373 them. Many people prefer this approach since it yields the highest level of |
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374 confidence in the resulting program. |
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375 </P></DD> |
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376 <DT><B><A NAME="ContextFreeGrammar">Context Free Grammars</A></B></DT> |
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377 <DD> Context free grammars are <A HREF = "#Grammar">grammars</A> wherein the definition of a grammar |
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378 unit, or <A HREF="#Nonterminal">nonterminal token</A>, does not depend on the context in which the |
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379 nonterminal is used. That means that if you define "widget" in a |
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380 certain way, that definition is valid in all contexts in which "widget" |
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381 might occur. Context free grammars can be represented in <A HREF="#BNF">Backus-Naur Form</A>. |
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382 AnaGram's syntax specification language has no facility for representing |
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383 grammars which are not context free. |
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384 <P></P> |
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385 </DD> |
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386 <DT><B><A NAME="DefaultReduction">Default reductions</A></B></DT> |
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387 <DD> A "default reduction" is a parser action which may be used in |
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388 your <A HREF="#Parser">parser</A> in any state which has precisely one <A HREF="#CompletedRule">completed rule</A>. |
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389 <P> |
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390 If a given parser state has, among its <A HREF="#CharacteristicRule">characteristic rules</A>, exactly one |
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391 completed rule, it is usually faster to reduce it on any input than to check |
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392 specifically for correct input before reducing it. The only time this default |
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393 reduction causes trouble is in the event of a syntax error. In this situation |
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394 you may get an erroneous reduction. Normally when you are parsing a file, this |
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395 is inconsequential because you are not going to continue performing |
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396 <A HREF="#SemanticAction">semantic actions</A> in the presence of |
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397 errors. But, if you are using your parser to handle real-time |
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398 interactive input, you have to be able to continue semantic |
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399 processing after notifying your user that he has entered erroneous |
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400 input. In this case you would want default reductions to have been |
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401 turned off so that <A HREF="#Production">production</A>s are reduced |
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402 only when there is correct input. |
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403 |
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404 </P></DD> |
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405 |
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406 <DT><B><A NAME="SetDifference">Difference of two sets</A></B></DT> |
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407 <DD> In set theory, the difference of two sets, A and B, is defined to be the |
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408 set of all elements of A that are not elements of B. In an AnaGram syntax file, |
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409 you represent the difference of two <A HREF="#CharacterSets">character sets</A> by using the "-" |
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410 operator. Thus the difference of A and B is A - B. The difference operator is |
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411 <A HREF="#Associativity">left associative</A>. |
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412 <P></P> |
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413 </DD> |
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414 |
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415 <DT><B><A NAME="ErrorAction">Error Action</A></B></DT> |
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416 <DD> The error action is one of the four <A HREF="#ParserAction">actions</A> of a traditional <A HREF="#ParsingEngine">parsing |
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417 engine</A>. The error action is performed when the <A HREF="#Parser">parser</A> has encountered an input |
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418 <A HREF="#Token">token</A> which is not admissible in the current state. The further behavior of a |
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419 traditional parser is undefined. |
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420 <P></P> |
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421 </DD> |
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422 |
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423 <DT><B><A NAME="EventDriven">Event Driven Parser</A></B></DT> |
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424 <DD> |
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425 An <I>event driven</I> <A HREF="#Parser">parser</A> is one in which |
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426 the relationship between the host program and the parser is turned |
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427 inside out. In a conventional parser, the host program calls the |
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428 parser, the parser analyzes the complete input text and returns to |
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429 the host program only when it has finished with the entire input. |
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430 <P>In an event driven parser, the parser does not read its input |
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431 directly from a file or from memory. Instead, the host program, after |
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432 initializing the parser, calls it once for each input token. Each |
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433 time the parser is called, it updates its state |
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434 appropriately, calls any <A HREF="#ReductionProcedure">reduction |
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435 procedures</A> that need to be called and finally when it needs more |
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436 input, returns to the host program. The effect is that parsing can |
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437 occur in parallel with other processing performed by the host |
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438 program. This technique is especially useful in situations where the |
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439 token stream to be parsed is developed on the fly, as when using <A |
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440 HREF="#LexicalScanner">lexical scanners</A>, for instance. |
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441 <P></P> |
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442 </DD> |
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443 |
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444 |
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445 <DT><B><A NAME="ExpansionRule">Expansion Rule</A></B></DT> |
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446 <DD> In analyzing a <A HREF = "#Grammar">grammar</A>, we are often interested in the full range of input |
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447 that can be expected at a certain point. The expansion of a <A HREF="#Token">token</A> or state shows |
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448 us all the expected input. An expansion yields a set of |
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449 <A HREF="#MarkedRule">marked rules</A>. Looking |
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450 at the marked token shows us what input to expect. |
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451 <P> |
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452 The set of expansion rules of a <A HREF="#Nonterminal">nonterminal token</A> shows all the expected input |
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453 that can occur whenever the token appears in the grammar. The set consists of |
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454 all the <A HREF="#GrammarRule">grammar rules</A> produced by the token, plus all the rules produced by the |
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455 first token of any rule in the set. The marked tokens for the expansion rules of a |
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456 token are always the first element in the rule. |
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457 </P><P> |
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458 The expansion of a state consists of its |
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459 <A HREF="#CharacteristicRule">characteristic rules</A> plus the expansion |
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460 rules of the marked token in each characteristic rule. |
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461 </P> |
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462 </DD> |
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463 |
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464 |
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465 <DT><B><A NAME="Grammar">Grammar</A></B></DT> |
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466 <DD> Traditionally, a grammar is a set of <A HREF="#Production">productions</A> which taken together |
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467 specify precisely a set of acceptable input sequences in terms of an abstract |
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468 set of <A HREF="#Terminal">terminal tokens</A>. The set of acceptable input sequences is often called |
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469 the "language" defined by the grammar. |
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470 <P> |
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471 In AnaGram, the term grammar also includes configuration segments, definitions |
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472 of <A HREF="#CharacterSets">character sets</A>, <A HREF="#VirtualProduction">virtual productions</A>, etc. that augment the collection of |
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473 productions. A grammar is often called a "syntax", and the <A HREF="#GrammarRule">rules of |
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474 the grammar</A> are often called syntactic rules. |
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475 </P> |
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476 <P></P> |
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477 </DD> |
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478 |
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479 <DT><B><A NAME="GrammarAnalysis">Grammar Analysis</A></B></DT> |
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480 <DD> The major function of AnaGram is the analysis of <A HREF = "#ContextFreeGrammar">context free grammars</A> |
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481 written in a particular variant of <A HREF="#BNF">Backus-Naur Form</A>. |
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482 <P> |
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483 The analysis of a <A HREF="#Grammar">grammar</A> proceeds in four stages. In the first, the input |
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484 grammar is analyzed and a number of tables are built which describe all of the |
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485 <A HREF="#Production">productions</A> and components of the grammar. |
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486 </P><P> |
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487 In the second stage, AnaGram analyzes all of the <A HREF="#CharacterSets">character sets</A> defined in the |
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488 grammar, and where necessary, defines auxiliary <A HREF="#Token">tokens</A> and productions. |
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489 </P><P> |
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490 In the third stage, AnaGram identifies all of the states of the <A HREF="#Parser">parser</A> and |
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491 builds the go-to table for the parser. |
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492 </P><P> |
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493 In the fourth stage, Anagram identifies <A HREF="#ReductionToken">reduction tokens</A> for each completed |
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494 <A HREF="#GrammarRule">grammar rule</A> in each state and checks for <A HREF="#Conflict">conflicts</A>. |
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495 </P> |
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496 <P></P> |
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497 </DD> |
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498 |
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499 <DT><B><A NAME="GrammarRule">Grammar Rule</A></B></DT> |
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500 <DD> A "grammar rule" is the right side of a <A HREF="#Production">production</A>. It consists |
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501 of a sequence of <A HREF="#RuleElement">rule elements</A>. Each rule element identifies some <A HREF="#Token">token</A>, which |
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502 can be either a <A HREF="#Terminal">terminal token</A> or <A HREF="#Nonterminal">nonterminal token</A>. It is "matched" |
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503 by a corresponding sequence of tokens in the input stream to the <A HREF="#Parser">parser</A>. The |
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504 left side of the production identifies one or more nonterminal tokens, or |
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505 <A HREF="#ReductionToken">reduction tokens</A>, to which the rule reduces when matched. If there is more than |
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506 one reduction token, there should be a <A HREF="#ReductionProcedure">reduction procedure</A> to make the choice. |
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507 <P></P> |
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508 </DD> |
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509 |
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510 <DT><B><A NAME="GrammarToken">Grammar Token</A></B></DT> |
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511 <DD> The grammar <A HREF="#Token">token</A> is the token which represents the "top level" |
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512 in your grammar. Some people refer to it as the "goal" or "goal |
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513 token" and others as the "start token". Whatever it is called, it |
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514 is the single token which describes the complete input to your <A HREF="#Parser">parser</A>. |
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515 <P></P> |
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516 </DD> |
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517 |
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518 <DT><B><A NAME="SetIntersection">Intersection</A></B></DT> |
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519 <DD> In set theory, the intersection of two sets, A and B, is defined to be the |
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520 set of all elements of A which are also elements of B. In an AnaGram syntax |
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521 file, the intersection of two <A HREF="#CharacterSets">character sets</A> is represented with the "&" |
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522 operator. The intersection operator has lower <A HREF="#Precedence">precedence</A> than the complement |
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523 operator, but higher precedence than the <A HREF="#SetUnion">union</A> and <A HREF="#SetDifference">difference</A> operators. The |
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524 intersection operator is <A HREF="#Associativity">left associative</A>. |
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525 <P></P> |
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526 </DD> |
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527 |
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528 <DT><B><A NAME="LALRParsing">LALR parsing</A></B></DT> |
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529 <DD> LALR, or "lookahead LR" parsing, a slightly less powerful |
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530 variant of <A HREF="#LRParsing">LR parsing</A>, produces much smaller parsing tables. Thus an LALR |
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531 <A HREF="#Parser">parser</A> has very significant advantages in size over its LR counterpart. It is |
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532 possible to construct <A HREF = "#Grammar">grammar</A>s which can be parsed by an LR parser but cannot be |
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533 parsed by an LALR parser. That is, the LALR parser will find these grammars to |
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534 be ambiguous and the LR parser will not. In practice, however, such grammars |
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535 seem to be rare and the ambiguities can usually be eliminated by minor revisions. |
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536 <P> |
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537 AnaGram generates LALR parsers and, in addition, uses LALR parsing to interpret |
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538 syntax files. |
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539 </P><P></P> |
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540 </DD> |
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541 |
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542 <DT><B><A NAME="LexicalScanner">Lexical Scanner</A></B></DT> |
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543 <DD> A lexical scanner is a program or procedure used as a preprocessor for a |
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544 <A HREF="#Parser">parser</A>. It scans input characters and lumps them together into <A HREF="#Token">tokens</A>. Many |
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545 systems for generating parsers, most notably YACC, can scarcely be used without |
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546 a lexical scanner. |
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547 <P> |
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548 AnaGram, although it can support the use of a lexical scanner, does not need a |
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549 lexical scanner for most practical problems. AnaGram avoids the need for a |
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550 lexical scanner by using <A HREF="#CharacterSets">character sets</A> and disregard and lexeme statements. |
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551 </P><P> |
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552 If your problem does in fact need a lexical scanner, you can use AnaGram itself |
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553 to write it, so you don't need to know different languages for the scanner and |
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554 for the parser. |
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555 </P> |
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556 <P></P> |
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557 </DD> |
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558 |
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559 <DT><B><A NAME="Lookahead">Lookahead Token</A></B></DT> |
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560 <DD> The current input <A HREF="#Token">token</A> to a <A HREF="#Parser">parser</A> is often called the "lookahead" |
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561 token. In many situations, it is not shifted into the input buffer immediately, |
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562 but acts like a catalyst to cause a number of rules to be reduced before it is |
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563 eventually shifted in. |
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564 <P></P> |
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565 </DD> |
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566 |
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567 <DT><B><A NAME="LRParsing">LR Parsing</A></B></DT> |
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568 <DD> An LR(k) <A HREF="#Parser">parser</A> is a type of deterministic bottom-up shift-reduce parser |
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569 using at most k lookahead symbols to determine its next <A HREF="#ParserAction">action</A> at any point in |
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570 the parse. If (k) is omitted, then k is assumed to be 1. Discussion of the |
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571 technical details of LR(k) parsing is beyond the scope of this manual. The |
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572 interested reader may consult any of a variety of works covering the subject. |
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573 <P> |
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574 AnaGram produces parsers which employ a variant of LR parsing known as LALR |
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575 parsing. It is not necessary to understand the details of LR and LALR parsing |
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576 theory in order to use AnaGram. |
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577 </P> |
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578 <P></P> |
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579 </DD> |
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580 |
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581 <DT><B><A NAME="MarkedRule">Marked Rule</A></B></DT> |
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582 <DD> A "marked rule" is a <A HREF="#GrammarRule">grammar rule</A> |
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583 together with a "marked token" |
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584 that indicates how much of the rule has already been matched and what input |
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585 should be expected, starting with the marked token, if the remainder of the rule is to be matched. Each <A HREF="#Parser">parser</A> |
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586 state is defined by a small number of <A HREF="#CharacteristicRule">characteristic rules</A> which indicate what |
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587 matches have already been made and what input can be expected. Note that when a |
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588 state has more than one characteristic rule, any two characteristic rules with |
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589 the same number of <A HREF="#Token">tokens</A> to the left of the marked token |
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590 match identically up to the |
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591 marked token. If one rule has fewer tokens to the left than the other, all of its tokens |
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592 preceding the marked token match the corresponding tokens of the longer rule |
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593 exactly. |
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594 <P> |
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595 When marked rules are displayed in AnaGram windows, the marked token is displayed in |
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596 a distinctive font which the developer can select. The default is italic. |
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597 </P> |
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598 <P></P> |
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599 </DD> |
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600 |
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601 <DT><B><A NAME="NonAssociative">Non-associative</A></B></DT> |
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602 <DD> A <A HREF="#BinaryOperator">binary operator</A>, say #, is said to be non-associative if the sequence x |
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603 # y # z is not permissible. If this sequence is to be interpreted as (x#y)#z, |
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604 the operator is said to be <B>left associative</B>. If the sequence is to be |
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605 interpreted as x#(y#z), the operator is said to be <B>right associative</B>. (See |
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606 <A HREF="#Associativity">associativity</A>.) |
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607 <P></P> |
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608 </DD> |
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609 |
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610 <DT><B><A NAME="Nonterminal">Nonterminal Token</A></B></DT> |
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611 <DD> A "nonterminal token" is a <A HREF="#Token">token</A> which results from reducing the |
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612 sequence of tokens which match a <A HREF="#GrammarRule">grammar rule</A> and replacing them with the |
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613 appropriate <A HREF="#ReductionToken">reduction token</A>. Nonterminal tokens are to be distinguished from |
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614 <A HREF="#Terminal">terminal tokens</A> or input tokens. |
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615 <P></P> |
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616 </DD> |
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617 |
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618 <DT><B><A NAME="NullProduction">Null Production</A></B></DT> |
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619 <DD> A "null production" is one that has no <A HREF="#Token">tokens</A> on the right side |
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620 whatsoever. Null <A HREF="#Production">production</A>s essentially are identified by the first following |
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621 input token. Null productions are extremely convenient syntactic elements when |
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622 you wish to make some input optional. For example, suppose that you wish to |
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623 allow an optional semicolon at some point in your <A HREF = "#Grammar">grammar</A>. You could write the |
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624 following pair of productions: |
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625 <PRE> |
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626 optional semicolon -> | ';' |
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627 </PRE> Note that a null production can never follow a '|'. The above could also |
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628 be written on multiple lines thus: |
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629 <PRE> |
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630 optional semicolon |
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631 -> |
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632 -> ';' |
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633 </PRE> You can always rewrite your grammar to eliminate null productions if you |
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634 wish, but you usually pay a price in conciseness and clarity. Sometimes, |
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635 however, it is necessary to do such a rewrite in order to avoid <A HREF="#Conflict">conflicts</A>, to |
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636 which null productions are especially prone. |
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637 <P> |
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638 If you have a null production with no <A HREF="#ReductionProcedure">reduction procedure</A> specified, your <A HREF="#Parser">parser</A> |
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639 will automatically assign the value zero to the <A HREF="#ReductionToken">reduction token</A>. |
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640 </P><P> |
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641 Null productions can be generated by <A HREF="#VirtualProduction">virtual productions</A>. |
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642 </P> |
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643 <P></P> |
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644 </DD> |
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645 |
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646 <DT><B><A NAME="ParameterAssignment">Parameter Assignment</A></B></DT> |
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647 |
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648 <DD>In any <A HREF="#GrammarRule"> grammar rule</A>, the |
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649 <A HREF="#SemanticValue">semantic value</A> of any |
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650 <A HREF="#RuleElement">rule element</A> may be passed to a |
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651 <A HREF="#ReductionProcedure">reduction procedure</A> |
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652 by means of a parameter assignment. In AnaGram this is particularly |
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653 convenient since you can use an ordinary variable name for the |
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654 parameter. Simply follow the |
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655 rule element with a colon and a C variable name. The C |
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656 variable name can then be used in the reduction |
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657 procedure to reference the semantic value of the token |
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658 it is attached to. AnaGram will automatically provide |
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659 necessary declarations. |
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660 |
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661 Here are some examples of rule elements with parameter |
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662 assignments: |
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663 <PRE> |
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664 '0-9':d |
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665 integer:n |
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666 expression:x |
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667 declaration : declaration_descriptor |
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668 </PRE> |
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669 </DD> |
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670 |
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671 <DT><B><A NAME="Parser">Parser</A></B></DT> |
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672 <DD> A parser is a program, or more likely a procedure within a program, which |
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673 scans a sequence of input characters or input <A HREF="#Token">tokens</A> and accumulates them in an |
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674 input buffer or stack as determined by a set of <A HREF="#Production">productions</A> which constitute a |
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675 <A HREF = "#Grammar">grammar</A>. When the parser discovers a sequence of tokens as defined by a <A HREF="#GrammarRule">grammar |
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676 rule</A>, or right side of a production, it "reduces" the sequence to a |
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677 single <A HREF="#ReductionToken">reduction token</A> as defined by the left side of the <A HREF="#GrammarRule">grammar rule</A>. This |
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678 <A HREF="#Nonterminal">nonterminal token</A> now replaces the tokens which matched the grammar rule and the |
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679 search for matches continues. If an input token is encountered which will not |
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680 yield a match for any rule, it is considered a syntax error and some kind of |
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681 error recovery may be required to continue. If a match, or reduction action, |
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682 yields the grammar token, sometimes called the goal token or start token, the |
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683 parser deems its work complete and returns to whatever procedure may have called |
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684 it. |
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685 <P> |
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686 Tokens may have <A HREF="#SemanticValue">semantic values</A>. If the |
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687 input values configuration switch is on, your parser will expect |
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688 semantic values to be provided by the input process along with the |
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689 token identification code. If the input values switch is off, your |
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690 parser will take the ascii value of the input character, that is, the |
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691 actual input code, as the value of the character. When the parser <A |
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692 HREF="#ReduceAction">reduces</A> a <A |
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693 HREF="#Production">production</A>, it can call a <A |
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694 HREF="#ReductionProcedure">reduction procedure</A> or <A |
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695 HREF="#SemanticAction">semantic action</A> to analyze the values of |
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696 the constituent tokens. This reduction procedure can then return a |
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697 value which characterizes the reduced token. |
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698 </P> |
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699 <P></P> |
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700 </DD> |
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701 |
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702 <DT><B><A NAME="ParserGenerator">Parser Generator</A></B></DT> |
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703 <DD> |
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704 A parser generator, such as AnaGram, is a program that |
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705 converts a <A HREF="#Grammar">grammar</A>, a rule-based description of the |
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706 input to a program, into a conventional, procedural |
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707 module called a <A HREF="#Parser">parser</A>. The parsers AnaGram generates |
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708 are simple C modules which can be compiled on almost |
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709 any platform. AnaGram parsers are also compatible with |
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710 C++. |
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711 <P></P> |
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712 </DD> |
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713 |
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714 <DT><B><A NAME="ParserStateStack">Parser State Stack</A></B></DT> |
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715 <DD> |
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716 The parser state stack is a stack maintained by an AnaGram |
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717 parser and which is an integral part of the parsing |
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718 process. At any point in the parse of your input |
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719 stream, the parser state stack provides a list of the |
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720 states which were traversed in order to arrive at the |
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721 current state. |
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722 |
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723 <P></P> |
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724 </DD> |
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725 |
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726 |
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727 <DT><B><A NAME="ParserValueStack">Parser Value Stack</A></B></DT> |
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728 <DD>In parallel with the <A HREF="#ParserStateStack">parser state stack</A>, |
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729 an AnaGram <A HREF="#Parser"> parser</A> |
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730 maintains a <I>value stack</I> each entry of |
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731 which corresponds to the <A HREF="#SemanticValue">semantic value</A> of the token |
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732 identified at that state. Since the semantic values of |
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733 different tokens might well have different data types, |
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734 AnaGram gives you the opportunity, in your syntax |
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735 file, to define the data type for any token. AnaGram |
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736 then builds a typedef statement creating a data type |
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737 which is a union of the all the types you have defined. |
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738 AnaGram creates the name for this data type by |
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739 appending "_vs_type" to the name of the parser. AnaGram uses |
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740 this data type to define the value stack. |
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741 <P></P> |
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742 </DD> |
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743 |
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744 |
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745 <DT><B><A NAME="ParsingEngine">Parsing Engine</A></B></DT> |
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746 <DD> A <A HREF="#Parser">parser</A> consists of three basic components: A set of syntax tables, a set |
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747 of <A HREF="#ReductionProcedure">reduction procedures</A> and a parsing engine. The parsing engine is the body of |
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748 code that interprets the parsing table, invokes input functions, and calls the |
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749 reduction procedures. The Build Parser command configures a parsing engine |
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750 according to the implicit requirements of the syntax specification and according |
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751 to the explicit values of the configuration parameters. |
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752 <P> |
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753 The parsing engine itself is a simple automaton, characterized by a set of |
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754 states and a set of inputs. The inputs are the <A HREF="#Token">tokens</A> of your <A HREF = "#Grammar">grammar</A>. Each |
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755 state is represented by a list of tokens which are admissible in that state and |
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756 for each token an <A HREF="#ParserAction">action</A> to perform and a parameter which further defines the |
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757 action. In a traditional <A HREF="#LALRParsing">LALR parser</A>, there are only four <A HREF="#ParserAction">actions</A>: the <A HREF="#ShiftAction">shift |
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758 action</A>, the <A HREF="#ReduceAction">reduce action</A>, the <A HREF="#AcceptAction">accept action</A> and the <A HREF="#ErrorAction">error action</A>. AnaGram, in |
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759 doing its <A HREF="#GrammarAnalysis">grammar analysis</A>, identifies a number of special cases, and creates a |
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760 number of extra actions which make for faster processing, but which can be |
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761 represented as combinations of these primitive actions. |
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762 </P><P> |
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763 When a shift action is performed, the current state number is pushed onto the |
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764 parser state stack and the new state number is determined by the current state |
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765 number and the current lookahead token. Different tokens cause different new |
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766 states. |
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767 </P><P> |
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768 When a reduce action is performed, the length of the rule being reduced is |
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769 subtracted from the parser stack index and the new state number is read from the |
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770 top of the parser state stack. The <A HREF="#ReductionToken">reduction token</A> for the rule being reduced is |
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771 then used as an input token. |
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772 </P><P> |
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773 Each state in the grammar, with the exception of state zero, has a |
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774 <A HREF="#CharacteristicToken">characteristic token</A> which must have been recognized in order to jump to that |
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775 state. Therefore, the parser state stack, which is essentially a list of state |
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776 numbers, can also be thought of as a list of token numbers. This is the list of |
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777 tokens that have been seen so far in the parse of your input stream. Some of |
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778 these tokens, of course, may be <A HREF="#Nonterminal">nonterminal tokens</A> which have resulted from |
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779 reducing other sequences of tokens. |
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780 </P> |
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781 <P></P> |
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782 </DD> |
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783 |
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784 <DT><B><A NAME="SetPartition">Partition</A></B></DT> |
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785 <DD> If you use <A HREF="#CharacterSets">character sets</A> in your <A HREF = "#Grammar">grammar</A>, AnaGram will compute a "partition" |
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786 of the <A HREF="#Universe">character universe</A>. This partition is a collection of non-overlapping |
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787 character sets such that every one of the sets you have defined can be written |
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788 as a <A HREF="#SetUnion">union</A> of partition sets. Each partition set is identified by a unique |
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789 reference number called the partition set number. |
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790 <P> |
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791 Each partition set is assigned a unique <A HREF="#Token">token</A>. If one of your character sets |
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792 requires more than one partition set to represent it, AnaGram will create |
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793 appropriate <A HREF="#Production">productions</A> and add them to your grammar so your <A HREF="#Parser">parser</A> can make the |
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794 necessary distinctions. |
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795 </P> |
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796 <P></P> |
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797 </DD> |
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798 |
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799 <DT><B><A NAME="Precedence">Precedence</A></B></DT> |
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800 <DD> "Precedence" is an attribute of <A HREF="#BinaryOperator">binary operators</A> and |
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801 <A HREF = "#UnaryOperator">unary |
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802 operators</A> which can be used to resolve <A HREF="#Conflict">conflicts</A>. Operator precedence is also |
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803 referred to as <A HREF = "#Binding">binding</A>. Suppose that # and @ are two binary operators. The |
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804 question is how to interpret x # y @ z. If # has higher precedence than @, it is |
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805 interpreted as (x#y)@z. On the other hand if # has lower precedence than @, it |
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806 would be x#(y@z). If # and @ have the same precedence then the question must be |
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807 resolved by <A HREF="#Associativity">associativity</A>. |
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808 <P> |
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809 Note that all operators at the same precedence level must have the same |
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810 associativity. |
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811 </P><P> |
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812 The situation is somewhat simpler for unary operators. If # and @ were both |
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813 prefix operators, or both suffix operators, there would be no ambiguity in |
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814 interpretation, since neither # @ x and x # @ offer more than one possible |
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815 interpretation. The only difficulty arises when both a prefix and a suffix |
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816 operator are applied to the same operand. |
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817 </P><P> |
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818 Suppose that # is a prefix operator and @ is a suffix operator. The question |
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819 then is how to interpret # x @. If # has higher precedence than @, it would be |
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820 interpreted as (# x) @. On the other hand, if # has lower precedence than @, it |
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821 would be interpreted as # (x @). If # and @ have the same precedence then the |
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822 question must be resolved by associativity. |
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823 </P> |
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824 <P></P> |
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825 </DD> |
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826 |
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827 <DT><B><A NAME="Production">Production</A></B></DT> |
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828 <DD> Productions are the mechanism used to describe how complex input |
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829 structures are built up out of simpler ones. Each production has a left side and |
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830 a right side. The right side, or <A HREF="#GrammarRule">grammar rule</A>, |
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831 is a sequence of <A HREF="#RuleElement">rule elements</A>, |
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832 which may represent either <A HREF="#Terminal">terminal tokens</A> or |
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833 <A HREF="#Nonterminal">nonterminal tokens</A>. The left side |
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834 is a list of <A HREF="#ReductionToken">reduction tokens</A>. |
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835 In most cases there would be only a single |
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836 reduction token. Productions with more than one <A HREF="#Token">token</A> |
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837 on the left side are |
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838 called <A HREF = "#SemanticallyDetermined">semantically determined productions</A>. |
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839 <p>The |
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840 "<CODE>-></CODE>" symbol is used |
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841 to separate the left side from the right side. |
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842 |
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843 If you have several |
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844 productions with the same left hand side, you can avoid |
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845 rewriting the left hand side either by using '|' or by |
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846 using another "->". |
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847 <p> |
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848 |
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849 A <A HREF="#NullProduction"> null production</A>, or empty right hand side, cannot |
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850 follow a '|'. |
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851 <P> |
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852 Productions may be written thus: |
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853 <pre> |
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854 name |
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855 -> letter |
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856 -> name, digit |
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857 </pre> |
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858 This could also be written |
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859 <pre> |
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860 name -> letter | name, digit |
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861 </pre> |
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862 In order to accommodate semantic analysis of the data, |
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863 you may attach to any grammar rule a <A HREF="#ReductionProcedure">reduction |
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864 procedure</A> which will be executed when the rule is |
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865 identified. Each token may have a <A HREF="#SemanticValue"> semantic value</A>. By |
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866 using <A HREF="#ParameterAssignment"> parameter assignments</A>, you may provide the |
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867 reduction procedure with access to the semantic values of |
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868 tokens that comprise the grammar rule. When it finishes, the |
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869 reduction procedure may return a value which will be |
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870 saved on the <A HREF="#ParserValueStack"> parser value stack</A> as the semantic value of the |
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871 <A HREF="#ReductionToken">reduction token</A>. |
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872 |
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873 <P></P> |
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874 </DD> |
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875 |
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876 <DT><B><A NAME="ReduceAction">Reduce Action</A></B></DT> |
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877 <DD> The reduce action is one of the four <A HREF="#ParserAction">actions</A> of a traditional parsing |
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878 engine. The reduce action is performed when the <A HREF="#Parser">parser</A> has succeeded in matching |
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879 all the elements of a <A HREF="#GrammarRule">grammar rule</A> and the next input <A HREF="#Token">token</A> is not erroneous. |
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880 Reducing the grammar rule amounts to subtracting the length of the rule from the |
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881 parser stack index, identifying the <A HREF="#ReductionToken">reduction token</A>, stacking its |
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882 <A HREF="#SemanticValue">semantic value</A> |
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883 and then doing a <A HREF="#ShiftAction">shift action</A> with the reduction token as though it had been |
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884 input directly. |
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885 <P></P> |
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886 </DD> |
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887 |
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888 <DT><B><A NAME="ReduceReduce">Reduce-Reduce Conflict</A></B></DT> |
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889 <DD> A <A HREF = "#Grammar">grammar</A> has a "reduce-reduce" conflict at some state if a |
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890 single <A HREF="#Token">token</A> turns out to be a <A HREF="#ReducingToken">reducing token</A> for more than one <A HREF="#CompletedRule">completed rule</A>. |
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891 <P></P> |
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892 </DD> |
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893 |
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894 <DT><B><A NAME="ReducingToken">Reducing Token</A></B></DT> |
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895 <DD> In a state with more than one <A HREF="#CompletedRule">completed rule</A>, your <A HREF="#Parser">parser</A> must be able to |
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896 determine which one was actually found. AnaGram deals with this problem by |
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897 looking at all the states the parser will branch to once each rule is reduced. |
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898 The acceptable input <A HREF="#Token">tokens</A> for those states are the "reducing tokens" |
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899 for the completed rules in the state under investigation. If there is a single |
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900 token which is a reducing token for more than one rule, then the <A HREF = "#Grammar">grammar</A> is said |
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901 to have a <A HREF="#ReduceReduce">reduce-reduce conflict</A> at that state. If in a particular state there |
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902 is both a <A HREF="#ShiftAction">shift action</A> and a <A HREF="#ReduceAction">reduce action</A> for the same token the grammar is |
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903 said to have a <A HREF="#ShiftReduce">shift-reduce conflict</A> in that state. |
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904 <P> |
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905 A reducing token is not the same as a <A HREF="#ReductionToken">reduction token</A>. |
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906 </P> |
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907 <P></P> |
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908 </DD> |
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909 |
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910 <DT><B><A NAME="ReductionProcedure">Reduction Procedure</A></B></DT> |
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911 <DD> A "reduction procedure" is a function you write which your |
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912 <A HREF="#Parser">parser</A> executes when it has identified the <A HREF="#GrammarRule">grammar rule</A> to which the reduction |
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913 procedure is attached in your <A HREF = "#Grammar">grammar</A>. There are two formats for reduction |
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914 procedures, depending on the size and complexity of the procedure. |
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915 <P></P> |
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916 </DD> |
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917 |
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918 <DT><B><A NAME="ReductionToken">Reduction Token</A></B></DT> |
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919 <DD> A <A HREF="#Token">token</A> which appears on the left side of a <A HREF="#Production">production</A> is called a |
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920 reduction token. It is so called because when the <A HREF="#GrammarRule">grammar rule</A> on the right side |
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921 of the production is matched in the input stream, your <A HREF="#Parser">parser</A> will <A HREF="#ReduceAction">"reduce"</A> |
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922 the sequence of tokens which matches the rule by replacing the sequence of |
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923 tokens with the reduction token. Note that, if more than one reduction token is |
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924 specified, your <A HREF="#ReductionProcedure">reduction procedure</A> should choose the exact one. If it does not, |
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925 your parser will use the leftmost syntactically correct one in the list as the default. |
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926 <P> |
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927 A reduction token is not the same as a <A HREF="#ReducingToken">reducing token</A>. |
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928 </P> |
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929 <P></P> |
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930 </DD> |
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931 |
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932 <DT><B><A NAME="Resynchronization">Resynchronization</A></B></DT> |
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933 <DD> "Resynchronization" is the process of getting your <A HREF="#Parser">parser</A> back |
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934 in step with its input after encountering a syntax error. As such, it is one |
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935 method of error recovery. Of course, you would resynchronize only if it |
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936 is necessary to continue after the error. There are several options available |
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937 when using AnaGram. You could use the auto resynch option, which causes AnaGram |
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938 to incorporate an automatic resynchronizing procedure into your parser, or you |
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939 could use the error resynch option, which is similar to the technique used by |
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940 YACC programmers. |
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941 </DD> |
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942 |
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943 <P></P> |
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944 <DT><B><A NAME="RuleElement">Rule Element</A></B></DT> |
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945 <DD> A <A HREF="#GrammarRule">grammar rule</A> is a list of "rule elements", separated by |
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946 commas. Rule elements may be <A HREF="#Token">token</A> names, <A HREF="#CharacterSets">character sets</A>, keywords, immediate |
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947 actions, or <A HREF="#VirtualProduction">virtual productions</A>. When AnaGram encounters a rule element for |
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948 which no token presently exists, it creates one. |
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949 <P></P> |
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950 </DD> |
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951 |
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952 <DT><B><A NAME="SemanticAction">Semantic Action</A></B></DT> |
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953 <DD> |
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954 A semantic action is a piece of C or C++ code that is executed when |
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955 a <A HREF="#GrammarRule">grammar rule</A> has been identified by a |
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956 <A HREF="#Parser">parser</A>. Semantic actions are also called |
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957 <A HREF="#ReductionProcedure">reduction procedures</A>, since they |
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958 are executed when a grammar rule is <A |
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959 HREF="#ReduceAction">reduced</A> to the token on the left side of the |
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960 <A HREF="#Production">production.</A> |
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961 <P></P> |
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962 </DD> |
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963 |
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964 <DT><B><A NAME="SemanticValue">Semantic Value</A></B></DT> |
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965 <DD> |
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966 <A HREF="#Token">Tokens</A>, whether <A HREF="#Terminal">terminal</A> |
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967 or <A HREF="#Nonterminal">nonterminal</A>, may have a semantic value. |
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968 In the case of terminal tokens, this may be a value assigned by the |
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969 <A HREF="#LexicalScanner">lexical scanner</A> or, if the parser is |
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970 using direct character input, it will be the ascii value of the |
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971 character itself. The values of nonterminal tokens are created by |
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972 <A HREF="#ReductionProcedure">reduction procedures</A>. As a parse |
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973 progresses, token values are <A HREF="#ShiftAction">shifted</A> |
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974 onto the stack, so that in a reduction procedure, the values of the |
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975 tokens that comprise the <A HREF="#GrammarRule">grammar rule</A> that |
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976 is being <A HREF="#ReduceAction">reduced</A> are available |
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977 for inspection. |
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978 <P></P> |
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979 </DD> |
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980 |
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981 <DT><B><A NAME="SemanticallyDetermined">Semantically Determined Production</A></B></DT> |
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982 <DD> A "semantically determined production" is one which has more |
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983 than one <A HREF="#ReductionToken">reduction token</A> specified on the left side of the production. You would |
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984 write such a <A HREF="#Production">production</A> when the reduction tokens are syntactically |
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985 indistinguishable. The <A HREF="#ReductionProcedure">reduction procedure</A> may then specify which of the listed |
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986 reduction tokens the <A HREF="#GrammarRule">grammar rule</A> is to reduce to based on semantic |
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987 considerations. If there is no reduction procedure, or the reduction procedure |
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988 does not specify a reduction token, the <A HREF="#Parser">parser</A> will use the leftmost syntactically correct token. |
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989 |
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990 <P></P> |
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991 </DD> |
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992 |
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993 <DT><B><A NAME="SetExpression">Set Expression</A></B></DT> |
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994 <DD> A set expression is an algebraic expression used to define a <A HREF="#CharacterSets">character set</A> |
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995 in terms of individual characters, ranges of characters, and/or other sets of |
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996 characters as constructed using <A HREF="#SetComplement">complements</A>, <A HREF="#SetUnion">unions</A>, <A HREF="#SetIntersection">intersections</A>, and |
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997 <A HREF="#SetDifference">differences</A>. |
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998 <P></P> |
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999 </DD> |
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1000 |
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1001 <DT><B><A NAME="ShiftAction">Shift Action</A></B></DT> |
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1002 <DD> The shift action is one of the four <A HREF="#ParserAction">actions</A> of a traditional parsing |
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1003 engine. The shift action is performed when the input <A HREF="#Token">token</A> matches one of the |
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1004 acceptable input tokens for the current parser state. The |
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1005 <A HREF="#SemanticValue">semantic value</A> of the |
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1006 token and the current state number are stacked, the parser stack index is |
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1007 incremented and the state number is set to a value determined by the previous |
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1008 state and the input token. |
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1009 <P></P> |
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1010 </DD> |
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1011 |
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1012 <DT><B><A NAME="ShiftReduce">Shift-Reduce Conflict</A></B></DT> |
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1013 <DD> A "shift-reduce" conflict occurs if in some state there is a |
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1014 single <A HREF="#Token">token</A> that should be shifted, because it is legitimate input for one of |
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1015 the rules of the state, but should also be used to reduce some other rule |
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1016 because it is a <A HREF="#ReducingToken">reducing token</A> for that rule. |
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1017 <P></P> |
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1018 </DD> |
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1019 <DT><B><A NAME="SyntaxDirectedParsing">Syntax Directed Parsing</A></B></DT> |
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1020 <DD> |
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1021 <P>Syntax directed parsing, or formal parsing, is an |
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1022 approach to building <A HREF="#Parser">parsers</A> based on formal language |
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1023 theory. Given a suitable description of a language, |
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1024 called a <A HREF="#Grammar">grammar</A>, there are algorithms which can be |
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1025 used to create parsers for the language automatically. |
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1026 In this context, the set of all possible inputs to a |
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1027 program may be considered to constitute a language, and |
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1028 the rules for formulating the input to the program |
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1029 constitute the grammar for the language. |
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1030 |
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1031 <P>The parsers built from a grammar have the advantage |
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1032 that they can recognize any input that conforms to the |
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1033 rules, and can reject as erroneous any input that fails |
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1034 to conform. |
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1035 |
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1036 <P>Since the program logic necessary to parse input is |
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1037 often extremely intricate, programs which use formal |
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1038 parsing are usually much more reliable than those built |
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1039 by hand. They are also much easier to maintain, since |
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1040 it is much easier to modify a grammar specification |
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1041 than it is to modify complex program logic. |
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1042 |
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1043 <P></P> |
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1044 </DD> |
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1045 |
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1046 <DT><B><A NAME="Terminal">Terminal Token</A></B></DT> |
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1047 <DD> A "terminal token" is a <A HREF="#Token">token</A> which does not appear on the left |
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1048 side of a <A HREF="#Production">production</A>. It represents, therefore, a basic unit of input to your |
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1049 <A HREF="#Parser">parser</A>. If the input to your parser consists of ascii characters, you may define |
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1050 terminal tokens explicitly as ascii characters or as <A HREF="#CharacterSets">sets of ascii characters</A>. |
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1051 If you have an input procedure which produces numeric codes, you may define the |
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1052 terminal tokens directly in terms of these numeric codes. |
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1053 <P></P> |
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1054 </DD> |
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1055 |
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1056 <DT><B><A NAME="Token">Token</A></B></DT> |
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1057 <DD> Tokens are the units with which your <A HREF="#Parser">parser</A> works. There are two kinds of |
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1058 tokens: <A HREF="#Terminal">terminal tokens</A> and <A HREF="#Nonterminal">nonterminal tokens</A>. These latter are identified by |
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1059 the parser as sequences of tokens. The grouping of tokens into more complex |
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1060 tokens is governed by the <A HREF="#GrammarRule">grammar rules</A>, or <A HREF="#Production">productions</A> in your <A HREF = "#Grammar">grammar</A>. In your |
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1061 grammar, tokens may be denoted by token names, by <A HREF="#VirtualProduction">virtual productions</A>, by |
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1062 immediate actions, by explicit character representations, or by expressions |
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1063 which yield <A HREF="#CharacterSets">character sets</A>. |
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1064 <P> |
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1065 A "token" should be thought of more or less as being something like a |
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1066 cloakroom token. Imagine you had taken a kindergarten class to the museum and |
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1067 all the kids checked their coats. Each one gets a token. What is the probability |
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1068 of losing one? You take all of the tokens from the children, put them in a paper |
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1069 bag, tie it up, and check it. You get one token in return. We would say that the |
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1070 kids' coats represent the actual input to the system, their individual tokens |
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1071 are the <A HREF="#Terminal">terminal tokens</A>, and your one token which enables you to redeem the |
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1072 paper bag is a <A HREF="#Nonterminal">nonterminal token</A>. Nonterminal tokens are just single token |
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1073 numbers to represent the result of compacting a sequence of more primitive |
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1074 tokens. |
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1075 </P><P> |
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1076 Actually, the word "token" is commonly used to refer to a number of |
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1077 apparently different things. The tokens you use in a grammar are abstract. The |
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1078 tokens identified by a parser are concrete instances of the abstract tokens in |
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1079 the grammar. Furthermore, we have to identify tokens in some manner, so we have |
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1080 token names and token numbers with which to refer to particular tokens. As a |
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1081 result the word "token", in any particular context, may refer directly |
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1082 to either an abstract token, or a concrete instance of an abstract token, or may |
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1083 refer only indirectly to the token by means of a token name or token number. |
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1084 </P><P> |
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1085 As an example, consider a C compiler which has a lexical scanner to identify |
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1086 input tokens. According to Kernighan and Ritchie, there are six classes of C |
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1087 tokens: identifiers, keywords, constants, string literals, operators, and other |
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1088 separators. Consider a particular token, a hexadecimal constant, 0XF00. When the |
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1089 lexical scanner hands this over to the parser, it has to provide an |
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1090 identification code which says what kind of token it is, a hexadecimal constant, |
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1091 as well as the |
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1092 <A HREF="#SemanticValue">"semantic value"</A> of the token, |
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1093 3840. The identification code is usually an integer value, |
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1094 determined by the designer of the lexical scanner, which by agreement |
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1095 with the designer of the parser uniquely represents a hexadecimal |
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1096 constant. This identification code can be thought of as an external |
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1097 token number. |
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1098 |
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1099 </P><P> |
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1100 The grammar for the parser, on the other hand, has a token, "HEXconstant", |
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1101 let us say, to represent the abstract usage of hexadecimal constants in the C |
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1102 language. When AnaGram, or any other parser generator for that matter, analyzes |
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1103 the grammar, it assigns its own reference number to identify "HEXconstant". |
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1104 This reference number can be thought of as an internal token number to contrast |
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1105 it with the external token number provided by the lexical scanner. The parsers |
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1106 AnaGram builds contain a table, ag_ tcv, which provides a translation from the |
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1107 external to the internal token number. Both of these token numbers, of course, |
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1108 differ from the semantic value of the token, in this case, 3840. |
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1109 </P><P> |
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1110 Even when an AnaGram parser is using simple character input, the word "token" |
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1111 may represent several different things. Suppose a grammar has a token 'A-Z', |
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1112 which represents the set of upper case letters. There will be an internal token |
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1113 number, assigned by AnaGram, which identifies the (abstract) token in parser |
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1114 tables. The actual (concrete) input token to a parser will, however, be a single |
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1115 letter, say "Q". In this case, the ascii value of the character "Q", |
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1116 81, is used both as the external token number and as the semantic value of the |
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1117 token. |
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1118 </P><P></P> |
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1119 </DD> |
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1120 |
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1121 <DT><B><A NAME="UnaryOperator">Unary Operator</A></B></DT> |
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1122 <DD>A "unary operator" is a <A HREF="#Token">token</A> which represents |
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1123 some sort of operation which operates on a single entity to produce a new |
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1124 resultant entity. It is normally represented by a symbol which is written either |
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1125 preceding the operand or following the operand. In the first case it is called a |
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1126 "prefix operator" and in the second case a "suffix operator". |
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1127 </P><P></P> |
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1128 </DD> |
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1129 |
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1130 <DT><B><A NAME="SetUnion">Union</A></B></DT> |
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1131 <DD> |
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1132 The union of two sets is the set of all elements that are to be found in one or |
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1133 another of the two sets. In an AnaGram syntax file the union of two <A HREF="#CharacterSets">character |
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1134 sets</A> A and B is represented using the plus sign, as in A + B. The union operator |
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1135 has the same <A HREF="#Precedence">precedence</A> as the <A HREF="#SetDifference">difference</A> operator: lower than that of |
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1136 <A HREF="#SetIntersection">intersection</A> and <A HREF="#SetComplement">complement</A>. The union operator is <A HREF="#Associativity">left associative</A>. |
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1137 <P></P> |
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1138 </DD> |
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1139 |
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1140 <DT><B><A NAME="VirtualProduction">Virtual Production</A></B></DT> |
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1141 <DD> |
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1142 <P>Virtual productions are a special short hand |
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1143 representation of <A HREF="#GrammarRule">grammar rules</A> which can be used to |
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1144 indicate a choice of inputs. They are an important |
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1145 convenience, especially useful when you are first |
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1146 building a <A HREF="#Grammar">grammar</A>. |
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1147 |
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1148 <P>AnaGram rewrites virtual productions, so that when you |
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1149 look at the syntax tables in AnaGram, there will be |
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1150 actual <A HREF="#Production">productions</A> replacing the virtual productions. |
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1151 |
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1152 <P>A virtual production appears as one of the <A HREF="#RuleElement">rule |
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1153 elements</A> in a <A HREF="#GrammarRule">grammar rule</A>, i.e. as one of the members |
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1154 of the list on the right side of a production. |
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1155 |
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1156 <P>The simplest virtual production is the "optional" |
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1157 <A HREF="#Token">token</A>. If x is an arbitrary token, x? can be used to |
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1158 indicate an optional x. |
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1159 |
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1160 <P>Related virtual productions are x... and x?... where |
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1161 the three dots indicate repetition. x... represents an |
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1162 arbitrary number of occurrences of x, but at least one. |
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1163 x?... represents zero or more occurrences of x. |
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1164 |
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1165 <P>The remaining virtual productions use curly or square |
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1166 brackets to enclose a sequence of rules. The brackets |
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1167 may be followed variously by nothing, a string of three |
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1168 dots, or a slash, to indicate the choices to be made |
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1169 from the rules. Note that rules may be used, not merely |
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1170 tokens. |
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1171 |
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1172 <P>If r1 through rn are a set of grammar rules, then |
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1173 <PRE> {r1 | r2 | ... | rn} </PRE> |
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1174 is a virtual production that allows a choice of exactly |
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1175 one of the rules. Similarly, |
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1176 <PRE> {r1 | r2 | ... | rn}... </PRE> |
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1177 is a virtual production that allows a choice of one or |
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1178 more of the rules. And, finally, |
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1179 <PRE> {r1 | r2 | ... | rn}/... </PRE> |
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1180 is a virtual production that allows a choice of one or |
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1181 more of the rules subject to the side condition that |
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1182 rules must alternate, that is, that no rule can follow |
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1183 itself immediately without the interposition of some |
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1184 other rule. This is a case that is not particularly |
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1185 easy to write by hand, but is quite useful in a number |
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1186 of contexts. |
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1187 |
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1188 <P>If the above virtual productions are written with [ ] |
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1189 instead of { }, they all become optional. [ ] is an |
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1190 optional choice, [ ]... is zero or more choices, and |
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1191 [ ]/... is zero or more alternating choices. |
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1192 |
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1193 <P><A HREF="#NullProduction">Null productions</A> are not permitted in virtual |
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1194 productions in those cases where they would cause an |
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1195 intrinsic ambiguity. |
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1196 |
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1197 <P>You may use a definition statement to assign a name to |
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1198 a virtual production. |
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1199 |
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1200 </DD> |
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1201 |
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1202 </DL> |
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1203 |
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1204 |
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1205 <P> |
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1206 <BR> |
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1207 |
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1208 <IMG ALIGN="bottom" SRC="images/rbline6j.gif" ALT="----------------------" |
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1209 WIDTH=1010 HEIGHT=2 > |
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1210 <P> |
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1211 <IMG ALIGN="right" SRC="images/pslrb6d.gif" ALT="Parsifal Software" |
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1212 WIDTH=181 HEIGHT=25> |
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1213 <BR CLEAR="right"> |
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1214 Back to <A HREF="index.html">Index</A> |
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1215 <P> |
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1216 <ADDRESS><FONT SIZE="-1"> |
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1217 AnaGram parser generator - documentation<BR> |
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1218 Glossary<BR> |
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1219 Copyright © 1993-1999, Parsifal Software. <BR> |
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1220 All Rights Reserved.<BR> |
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1221 </FONT></ADDRESS> |
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1222 |
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1223 </BODY> |
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1224 </HTML> |
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1225 |
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1226 |