LR(0) Automaton for dragon_expr.gram</tite> <link rel="stylesheet" rev="stylesheet" href="gram.css"> <meta http-equiv="Content-Type" content="text/html; charset=utf-8"/> </head> <body> <a href="index.html">Index</a><br /> <div><h1>BNF for <a href="dragon_expr.gram">dragon_expr.gram</a></h1><pre width="40%">E := E '+' T | T T := T '*' F | F F := '(' E ')' | 'id' </pre><p>This Grammar has been taken from the Dragon book and is often used there in many examples.</p> </div> <div> <h1>LR(0) Automaton</h1> <div style="margin-left: 3em"><a href="dragon_expr.gram.slr.graph.png"><img src="dragon_expr.gram.slr.graph.tb.png" alt="LR(0) Automaton" /></a><br/> <a href="dragon_expr.gram.slr.graph.ps">As Postscript</a><br/> <a href="dragon_expr.gram.slr.dot">As Graphviz DOT</a><br/> </div> </div> <h1>SLR(1) Parser Table</h1> <div style="margin-left: 3em"><h2>Rules:</h2> <table class="data"> <tr><th> 1</th><td>E := E '+' T </td></tr> <tr><th> 2</th><td>E := T </td></tr> <tr><th> 3</th><td>T := T '*' F </td></tr> <tr><th> 4</th><td>T := F </td></tr> <tr><th> 5</th><td>F := '(' E ')' </td></tr> <tr><th> 6</th><td>F := 'id' </td></tr> </table> <h2>Parser Table:</h2> <table class="data"> <tr><th>State</th><th colspan="6">ACTIONS</th><th colspan="3">GOTO</th></tr><tr><th> </th><th> id</th><th>+</th><th>*</th><th>)</th><th>(</th><th>$</th><th>E</th><th>F</th><th>T</th></tr> <tr><th>0</th><td>s5</td><td> </td><td> </td><td> </td><td>s4</td><td> </td><td>1</td><td>3</td><td>2</td> </tr> <tr><th>1</th><td> </td><td>s6</td><td> </td><td> </td><td> </td><td>A</td><td> </td><td> </td><td> </td> </tr> <tr><th>2</th><td> </td><td>r2</td><td>s7</td><td>r2</td><td> </td><td>r2</td><td> </td><td> </td><td> </td> </tr> <tr><th>3</th><td> </td><td>r4</td><td>r4</td><td>r4</td><td> </td><td>r4</td><td> </td><td> </td><td> </td> </tr> <tr><th>4</th><td>s5</td><td> </td><td> </td><td> </td><td>s4</td><td> </td><td>8</td><td>3</td><td>2</td> </tr> <tr><th>5</th><td> </td><td>r6</td><td>r6</td><td>r6</td><td> </td><td>r6</td><td> </td><td> </td><td> </td> </tr> <tr><th>6</th><td>s5</td><td> </td><td> </td><td> </td><td>s4</td><td> </td><td> </td><td>3</td><td>9</td> </tr> <tr><th>7</th><td>s5</td><td> </td><td> </td><td> </td><td>s4</td><td> </td><td> </td><td>10</td><td> </td> </tr> <tr><th>8</th><td> </td><td>s6</td><td> </td><td>s11</td><td> </td><td> </td><td> </td><td> </td><td> </td> </tr> <tr><th>9</th><td> </td><td>r1</td><td>s7</td><td>r1</td><td> </td><td>r1</td><td> </td><td> </td><td> </td> </tr> <tr><th>10</th><td> </td><td>r3</td><td>r3</td><td>r3</td><td> </td><td>r3</td><td> </td><td> </td><td> </td> </tr> <tr><th>11</th><td> </td><td>r5</td><td>r5</td><td>r5</td><td> </td><td>r5</td><td> </td><td> </td><td> </td> </tr> </table> </div> <div> <h1>LR(0) Automaton with Lookahead</h1> <div style="margin-left: 3em"><a href="dragon_expr.gram.lalr.graph.png"><img src="dragon_expr.gram.lalr.graph.tb.png" alt="LR(0) Automaton with Lookahead" /></a><br/> <a href="dragon_expr.gram.lalr.graph.ps">As Postscript</a><br/> <a href="dragon_expr.gram.lalr.dot">As Graphviz DOT</a><br/> </div> </div> <h1>LALR(1) Parser Table</h1> <div style="margin-left: 3em"><h2>Rules:</h2> <table class="data"> <tr><th> 1</th><td>E := E '+' T </td></tr> <tr><th> 2</th><td>E := T </td></tr> <tr><th> 3</th><td>T := T '*' F </td></tr> <tr><th> 4</th><td>T := F </td></tr> <tr><th> 5</th><td>F := '(' E ')' </td></tr> <tr><th> 6</th><td>F := 'id' </td></tr> </table> <h2>Parser Table:</h2> <table class="data"> <tr><th>State</th><th colspan="6">ACTIONS</th><th colspan="3">GOTO</th></tr><tr><th> </th><th> id</th><th>+</th><th>*</th><th>)</th><th>(</th><th>$</th><th>E</th><th>F</th><th>T</th></tr> <tr><th>0</th><td>s5</td><td> </td><td> </td><td> </td><td>s4</td><td> </td><td>1</td><td>3</td><td>2</td> </tr> <tr><th>1</th><td> </td><td>s6</td><td> </td><td> </td><td> </td><td>A</td><td> </td><td> </td><td> </td> </tr> <tr><th>2</th><td> </td><td>r2</td><td>s7</td><td>r2</td><td> </td><td>r2</td><td> </td><td> </td><td> </td> </tr> <tr><th>3</th><td> </td><td>r4</td><td>r4</td><td>r4</td><td> </td><td>r4</td><td> </td><td> </td><td> </td> </tr> <tr><th>4</th><td>s5</td><td> </td><td> </td><td> </td><td>s4</td><td> </td><td>8</td><td>3</td><td>2</td> </tr> <tr><th>5</th><td> </td><td>r6</td><td>r6</td><td>r6</td><td> </td><td>r6</td><td> </td><td> </td><td> </td> </tr> <tr><th>6</th><td>s5</td><td> </td><td> </td><td> </td><td>s4</td><td> </td><td> </td><td>3</td><td>9</td> </tr> <tr><th>7</th><td>s5</td><td> </td><td> </td><td> </td><td>s4</td><td> </td><td> </td><td>10</td><td> </td> </tr> <tr><th>8</th><td> </td><td>s6</td><td> </td><td>s11</td><td> </td><td> </td><td> </td><td> </td><td> </td> </tr> <tr><th>9</th><td> </td><td>r1</td><td>s7</td><td>r1</td><td> </td><td>r1</td><td> </td><td> </td><td> </td> </tr> <tr><th>10</th><td> </td><td>r3</td><td>r3</td><td>r3</td><td> </td><td>r3</td><td> </td><td> </td><td> </td> </tr> <tr><th>11</th><td> </td><td>r5</td><td>r5</td><td>r5</td><td> </td><td>r5</td><td> </td><td> </td><td> </td> </tr> </table> </div> </body> </html>