Polynomial-time tests for difference terms in idempotent varieties

William DeMeo, Ralph Freese, MATTHEW A. VALERIOTE · International Journal of Algebra and Computation · 2019

We consider the following practical question: given a finite algebra [Formula: see text] in a finite language, can we efficiently decide whether the variety generated by [Formula: see text] has a difference term? We answer this question (positively) in the idempotent case and then describe algorithms for constructing difference term operations.

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