Parikh's theorem: A simple and direct automaton construction

Parikh's theorem: A simple and direct automaton construction

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Article ID: iaor20114470
Volume: 111
Issue: 12
Start Page Number: 614
End Page Number: 619
Publication Date: Jun 2011
Journal: Information Processing Letters
Authors: , , ,
Keywords: software engineering
Abstract:

Parikh's theorem states that the Parikh image of a context-free language is semilinear or, equivalently, that every context-free language has the same Parikh image as some regular language. We present a very simple construction that, given a context-free grammar, produces a finite automaton recognizing such a regular language.

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