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Closure Properties

Closure Properties. Lemma : Let A 1 and A 2 be two CF languages, then the union A 1 ? A 2 is context free as well. Proof : Assume that the two grammars are G 1 =(V 1 , ? ,R 1 ,S 1 ) and G 2 =(V 2 , ? ,R 2 ,S 2 ). Construct a third grammar G 3 =(V 3 , ? ,R 3 ,S 3 ) by:

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Today

Today. Chapter 2: (Pushdown automata) Non-CF languages CFL pumping lemma Closure properties of CFL. Pushdown Automata. Pushdown automata are for context-free languages what finite automata are for regular languages.

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478 views • 28 slides

Context-Free Languages: Review

Context-Free Languages: Review. Chapter 16. Languages and Machines. Regular and CF Languages. Regular Languages Context-Free Languages ? regular exprs. ? context-free grammars ? or ? regular grammars ? = DFSMs ? = NDPDAs ? recognize ? parse

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Cf languages - PowerPoint PPT Presentation

Closure Properties

Today

Context-Free Languages: Review