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math.LO2020★ 5 cited
Implicative algebras II: completeness w.r.t. Set-based triposes
Alexandre Miquel
We prove that all Set-based triposes are implicative triposes.
math.LO2018
Implicative algebras: a new foundation for realizability and forcing
Alexandre Miquel
We introduce the notion of implicative algebra, a simple algebraic structure intended to factorize the model constructions underlying forcing and realizability (both in intuitionis…