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CYK algorithm

In computer science, the Cocke–Younger–Kasami algorithm (alternatively called CYK, or CKY) is a parsing algorithm for context-free grammars published by Itiroo Sakai in 1961. The algorithm is named after some of its rediscoverers: John Cocke, Daniel Younger, Tadao Kasami, and Jacob T. Schwartz. It employs bottom-up parsing and dynamic programming.

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Extensions

RecognizerParserParse treeAmbiguous grammarWeighted
10 related topics

Standard form

Production rules
1 related topics

Overview

Computer scienceParsingAlgorithmContext-free grammarsJohn Cocke
14 related topics

Algorithm

Pseudocode
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Class
Parsing with context-free grammars
Data structure
String
Worst-case performance
n {\displaystyle n} is length of the string · | G | {\displaystyle |G|} is the size of the CNF grammar

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Algorithm

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CYK algorithm

Nodes49
Edges48
Triples120
Avg. degree1.96
Density0.040816
Components1

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CYK algorithm

Top relations

related to Sources · 77
CYK algorithm → ACM, Addison-Wesley, Addison-Wesley Professional, AFCRL, An, An Efficient Yet Presentable, Applied Language Analysis, April, Automata Theory, Bernard, Boolean, CIMS, CNF, Cocke, Comput, Computation, Computer Programming Volume, Control, Daniel, Donald
related to Valiant's algorithm · 16
CYK algorithm → Abboud, Big, CNF, Coppersmith, CYK, His, However, Knuth, Lee, Notation, The, Theta, This, Using, Valiant, Winograd
related to Parsing non-CNF context-free grammars · 8
CYK algorithm → As, Chomsky, CYK, For, Lange, Leiß, The, Using
related to External links · 6
CYK algorithm → CYK, Finite State Machines, Interactive Visualization, Java, JavaScriptExorciser, Markov
related to Parsing weighted context-free grammars · 5
CYK algorithm → Booleans, CYK, Further, It, Weights
related to Example · 4
CYK algorithm → CYK, In, Now, This
Worst-case performance · 2
CYK algorithm → n {\displaystyle n} is length of the string, | G | {\displaystyle |G|} is the size of the CNF grammar
Class · 1
CYK algorithm → Parsing with context-free grammars
Data structure · 1
CYK algorithm → String

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Important terminology

algorithm cyk context-free grammar parsing displaystyle cnf string grammars time parse length size 10 using efficient cdot languages one algorithms

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
CYK algorithmClassParsing with context-free grammars1.00infobox
CYK algorithmData structureString1.00infobox
CYK algorithmWorst-case performancen {\displaystyle n} is length of the string1.00infobox
CYK algorithmWorst-case performance| G | {\displaystyle |G|} is the size of the CNF grammar1.00infobox
CYK algorithmrelated to ExampleThis0.60section
CYK algorithmrelated to ExampleNow0.60section
CYK algorithmrelated to ExampleCYK0.60section
CYK algorithmrelated to ExampleIn0.60section
CYK algorithmrelated to External linksInteractive Visualization0.60section
CYK algorithmrelated to External linksCYK0.60section
CYK algorithmrelated to External linksJavaScriptExorciser0.60section
CYK algorithmrelated to External linksJava0.60section

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