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Universal algebra in type theory. (English) Zbl 0947.08001

Bertot, Yves (ed.) et al., Theorem proving in higher order logics. 12th international conference, TPHOLs ’99. Nice, France, September 14-17, 1999. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1690, 131-148 (1999).
Formalizing universal algebra within the theory of types by means of the proof development system Coq, the author sets up a framework for automated reasoning about general algebraic structures.
For the entire collection see [Zbl 0929.00038].
Reviewer: M.Armbrust (Köln)

MSC:

08A99 Algebraic structures
68T15 Theorem proving (deduction, resolution, etc.) (MSC2010)
03B35 Mechanization of proofs and logical operations
08-04 Software, source code, etc. for problems pertaining to general algebraic systems
03B15 Higher-order logic; type theory (MSC2010)

Software:

Coq