Proving Parikh's theorem using Chomsky-Schutzenberger theorem

Dmitry Golubenko

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arXiv · 1710.09612

Proving Parikh's theorem using Chomsky-Schutzenberger theorem

Dmitry Golubenko

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Abstract

Parikh theorem was originally stated and proved by Rohkit Parikh in MIT research report in 1961. Many different proofs of this classical theorems were produced then; our goal is to give another proof using Chomsky-Schutzenberger representation theorem. We present the proof which doesn't use any formal language theory tool at all except the representation theorem, just some linear algebra.

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Dmitry Golubenko. 2018-06-13. Proving Parikh's theorem using Chomsky-Schutzenberger theorem. https://arxiv.org/abs/1710.09612

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