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CYK Algorithm (1)

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  The CYK Algorithm David Rodriguez-VelazquezCS  – 6800Summer I -2009  The CYK Algorithm ã The membership problem :  – Problem: ã Given a context-free grammar G and a string w  – G = (V, ∑ ,P , S) where » V finite set of variables » ∑ (the alphabet) finite set of terminal symbols » P finite set of rules » S start symbol (distinguished element of V) » V and ∑ are assumed to be disjoint  – G is used to generate the string of a language  – Question: ã Is w in L ( G )?  The CYK Algorithm ã J. Cocke ã D. Younger, ã T. Kasami  – Independently developed an algorithm to answer this question.  The CYK Algorithm Basics  – The Structure of the rules in a Chomsky Normal Form grammar  – Uses a “dynamic programming” or “table -filling algorithm”
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