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Chapter 5 Context-Free Grammars

Chapter 5 Context-Free Grammars. Grammar (Review). A grammar is a 4-tuple G = ( NT , T , S , P ), where NT : a finite set of non-terminal symbols T : a finite set of terminal (alphabet) symbols S : is the starting symbol S ? NT P : a finite set of production rules: x ? y

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Chapter 5 Context-free Languages

Chapter 5 Context-free Languages. Context-free Grammars. Definition 5.1: A grammar G = (V, T, S, P) is said to be context-free if all production rules in P have the form A ? x where A ? V and x ? (V ? T)*

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Chapter 5 Context-free Languages

Chapter 5 Context-free Languages These class notes are based on material from our textbook, An Introduction to Formal Languages and Automata , 4 th ed., by Peter Linz. Context-free Grammars. Definition 5.1:

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Context-Free Languages

Context-Free Languages. Not all languages are regular. L 1 = {a n b n | n ? 0} is not regular. L 2 = { () , (()) , ((())) , ...} is not regular. ? some properties of programming languages. Context-Free Grammars. G = (V, T, S, P) Productions are of the form: A ? x

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Partial derivation tree - PowerPoint PPT Presentation

Chapter 5 Context-Free Grammars

Chapter 5 Context-free Languages

Chapter 5 Context-free Languages

Context-Free Languages