CYK algorithm: Difference between revisions

Revision as of 23:45, 22 February 2023

Revision as of 03:54, 23 February 2023

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In [[computer science]], the '''Cocke–Younger–Kasami algorithm''' (alternatively called '''CYK''', or '''CKY''') is a [[parsing]] [[algorithm]] for [[context-free grammar]]s published by Itiroo Sakai in 1961.<ref>{{cite book |last1=Grune |first1=Dick |title=Parsing techniques : a practical guide |date=2008 |publisher=Springer |___location=New York |page=579 |isbn=978-0-387-20248-8 |edition=2nd}}</ref><ref>Itiroo Sakai, “Syntax in universal translation”. In Proceedings 1961 International Conference on Machine Translation of Languages and Applied Language Analysis, Her Majesty’s Stationery Office, London, p. 593-608, 1962.</ref> The algorithm is named after some of its rediscoverers: [[John Cocke (computer scientist)|John Cocke]], Daniel Younger, [[Tadao Kasami]], and [[Jacob T. Schwartz]]. It employs [[bottom-up parsing]] and [[dynamic programming]].

The standard version of CYK operates only on context-free grammars given in [[Chomsky normal form]] (CNF). However any context-free grammar may be algorithmically transformed into a CNF grammar expressing the same language {{harv|Sipser|1997}}.