Axiomatizing Omega and Omega-op Powers of Words

Stephen L. Bloom
Zoltán Ésik

October 2002


In 1978, Courcelle asked for a complete set of axioms and rules for the equational theory of (discrete regular) words equipped with the operations of product, omega power and omega-op power. In this paper we find a simple set of equations and prove they are complete. Moreover, we show that the equational theory is decidable in polynomial time

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