This is a follow-up to my previous question, here: Is it decidable if a finite set of equations have only trivial models?. Let our signature be that of a single binary operation symbol $*$. Suppose I am given a finite set $S$ of identities in that signature, and I want to know whether the set $S$ implies the commutative identity $x*y=y*x$. Is that a decidable problem?
2026-02-23 13:44:58.1771854298
Is it decidable if a finite set of identities imply the commutative identity?
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