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Definitions of EQUATIONAL LOGIC
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First-order equational logic consists ofquantifier-free terms of ordinary first-order logic, withequality as the only predicate symbol. The model theoryof this logic was developed into Universal algebra byBirkhoff et al. [Birkhoff, Gratzer, Cohn]. It was later madeinto a branch of category theory by Lawvere ("algebraictheories").
By Denis Howe