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Congruence based proofs of the recognizability theorems for free many-sorted algebras

Published 24 Aug 2018 in cs.FL | (1808.08217v1)

Abstract: We generalize several recognizability theorems for free single-sorted algebras to the field of many-sorted algebras and provide, in a uniform way and without using neither regular tree grammars nor tree automata, purely algebraic proofs of them based on the concept of congruence.

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