Birkhoff's theorem (equational logic)

In logic, Birkhoff's theorem in equational logic states that an equality t = u is a semantic consequence of a set of equalities E, if and only if t = u can be proven from the set of equalities.[1] It is named after Garrett Birkhoff.

References
  1. Baader, Franz; Nipkow, Tobias (March 1998). "Term Rewriting and All That". Cambridge Core. p. Th. 3.5.14, p. 55. Retrieved 2020-02-13.


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