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A presheaf model of parametric type theory

Authors Jean-Philippe Bernardy
Thierry Coquand
Guilhem Moulin
Publication year 2015
Published at Department of Computer Science and Engineering (GU)
Language en
Keywords parametricity, presheaf semantics, type-theory
Subject categories Theoretical computer science


We propose a new type theory with internalized parametricity. Compared to previous similar proposals, this version comes with a denotational semantics which is a refinement of the standard presheaf semantics of dependent type theory. Further, this presheaf semantics is a refinement of the one used to interpret nominal sets with restrictions. The present calculus is a candidate for the core of a proof assistant with internalized parametricity.

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