Difference between revisions of "Grammar, linear"
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| − | A context-free grammar (cf. [[Grammar, context-free|Grammar, context-free]]) in which the right-hand side of each rule contains at most one occurrence of a non-terminal symbol. The class of languages generated by such grammars (linear languages) is a proper subclass of the class of context-free languages (e.g., the context-free language | + | <!-- |
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| + | A context-free grammar (cf. [[Grammar, context-free|Grammar, context-free]]) in which the right-hand side of each rule contains at most one occurrence of a non-terminal symbol. The class of languages generated by such grammars (linear languages) is a proper subclass of the class of context-free languages (e.g., the context-free language $ \{ {a ^ {n} b ^ {n} a ^ {m} b ^ {m} } : {n, m = 1, 2 ,\dots } \} $ | ||
| + | is not linear). See also [[Grammar, regular|Grammar, regular]]. | ||
Latest revision as of 19:42, 5 June 2020
A context-free grammar (cf. Grammar, context-free) in which the right-hand side of each rule contains at most one occurrence of a non-terminal symbol. The class of languages generated by such grammars (linear languages) is a proper subclass of the class of context-free languages (e.g., the context-free language $ \{ {a ^ {n} b ^ {n} a ^ {m} b ^ {m} } : {n, m = 1, 2 ,\dots } \} $
is not linear). See also Grammar, regular.
How to Cite This Entry:
Grammar, linear. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Grammar,_linear&oldid=47118
Grammar, linear. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Grammar,_linear&oldid=47118
This article was adapted from an original article by A.V. Gladkii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article