Mathematical logic

Equational 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, GrÀtzer, and Cohn. It was later made into a branch of category theory by Lawvere ("algebraic theories"). The terms of equational logic are built up from variables and constants using function symbols (or operations). (Wikipedia).

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Related pages

Transitive relation | Edsger W. Dijkstra | Gottfried Wilhelm Leibniz | Model theory | List of logic symbols | Boolean algebra | Universal algebra | Substitution (logic) | First-order logic | Theory of pure equality | Category theory | Garrett Birkhoff