## equational logic

(logic) First-order equational logic consists of quantifier-free terms of ordinary first-order logic, with equality as the only predicate symbol. The model theory of this logic was developed into Universal algebra by Birkhoff et al. [Birkhoff, Gratzer, Cohn]. It was later made into a branch of category theory by Lawvere ("algebraic theories").

Last updated: 1995-02-21

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