Regular algebra applied to language problems

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Regular algebra applied to language problems

Many functions on context-free languages can be expressed in the form of the least fixed point of a function whose definition mimics the grammar of the given language. Examples include the function returning the length of the shortest word in a language, and the function returning the smallest number of edit operations required to transform a given word into a word in a language. This paper pre...

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In an earlier paper, one of the authors presented an algebra for formulating and solving extremal path problems. There are striking similarities between that algebra and the algebra of regular languages, which lead one to consider whether the previous results can be generalized—for instance to path enumeration problems—and whether the algebra of regular languages can itself be profitably used f...

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ژورنال

عنوان ژورنال: The Journal of Logic and Algebraic Programming

سال: 2006

ISSN: 1567-8326

DOI: 10.1016/j.jlap.2005.04.008