A Fully Equational Proof of Parikh's Theorem

Luca Aceto, Zoltán Ésik, Anna Ingólfsdóttir · RAIRO - Theoretical Informatics and Applications · 2002

We show that the validity of Parikh's theorem for context-free languages depends only on a few equational properties of least pre-fixed points. Moreover, we exhibit an infinite basis of μ-term equations of continuous commutative idempotent semirings.

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