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2011-07-04T20:34:20.667
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Examples from wikipedia <h2><a href="http://en.wikipedia.org/wiki/LL_parser#Concrete_example">LL(1)</a></h2> grammar <pre><code>S -> F S -> ( S + F ) F -> a </code></pre> input <pre><code>( a + a ) </code></pre> parsing steps <pre><code>S -> "(" S "+" F ")" -> ( "F" + F ) -> ( "a" + F ) -> ( a + "a" ) </code></pre> <h2><a href="http://en.wikipedia.org/wiki/LR_parser#Concrete_example">LR(0)</a></h2> grammar <pre><code>(1) E → E * B (2) E → E + B (3) E → B (4) B → 0 (5) B → 1 </code></pre> input <pre><code>1 + 1 </code></pre> parsing steps <pre><code>need to build a parser table and traverse through states. </code></pre> <h2><a href="http://en.wikipedia.org/wiki/Canonical_LR_parser">LR(1)</a></h2> grammar <pre><code>S’ -> S S S -> C C C -> c C | d </code></pre> input <pre><code>cd </code></pre> parsing steps <pre><code>large table </code></pre> <h2><a href="https://www.l2f.inesc-id.pt/~david/wiki/pt/index.php/Bottom-Up_Parsing/LALR%281%29_Example_1">LALR</a></h2> grammar <pre><code>A -> C x A | ε B -> x C y | x C C -> x B x | z </code></pre> input <pre><code>xxzxx </code></pre> parsing steps <pre><code>traverse large parser table </code></pre> You may also want to have a look at <ul> <li><a href="http://www.supereasyfree.com/software/simulators/compilers/principles-techniques-and-tools/parsing-simulator/parsing-simulator.php">Parsing Simulator tool</a></li> <li><a href="http://www.antlr.org/works/index.html">antlr works</a> - <a href="http://www.antlr.org/download/antlrworks-1.4.2.jar">>download<</a></li> <li><a href="http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-035-computer-language-engineering-spring-2010/lecture-notes/MIT6_035S10_lec03b.pdf">Parser table generation from ocw mit</a> </li> <li><a href="http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-035-computer-language-engineering-sma-5502-fall-2005/lecture-notes/14_wrapup.pdf">From parsing to code genration ocw mit</a></li> <li><a href="http://www.scribd.com/doc/17338168/ParsersLRLALRLSLR">additional examples</a> </li> </ul>
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1. POExamples of LL(1), LR(1), LR(0), LALR(1) grammars?
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1. USMehrdad
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1. USPrashant Bhate
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1. COcan you please tell me how to prove a grammar to be LR(0) or SLR(1)?
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2. CO@katia- You may want to check out http://cs143.stanford.edu, Stanford's compilers course, which has a whole bunch of lecture slides and handouts detailing how you'd do this. The second problem set and midterm (and their solutions) go into some detail about this.
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