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Coq received ACM SIGPLAN Programming Languages Software 2013 award The development of Coq has been initiated in 1984 at INRIA by Thierry Coquand and G�rard Huet, then joined by Christine Paulin-Mohring and more than 40 direct contributors. The first public release was CoC 4.10 in 1989. Extended with native inductive types, it was renamed Coq in 1991. Since then, a growing community of users has sh
Chapter 4 Calculus of Inductive Constructions 4.1 The terms 4.2 Typed terms 4.3 Conversion rules 4.4 Derived rules for environments 4.5 Inductive Definitions 4.6 Coinductive types 4.7 Cic: the Calculus of Inductive Construction with impredicative Set The underlying formal language of Coq is a Calculus of Constructions with Inductive Definitions. It is presented in this chapter. For Coq ver
Constructive Category Theory Authors Amokrane Saïbi Description Keywords category theory Available files ConCaT.CATEGORY_THEORY.FUNCTOR.FSC_inc.html ConCaT.CATEGORY_THEORY.CATEGORY.CONSTRUCTIONS.CCC.html ConCaT.CATEGORY_THEORY.NT.YONEDA_LEMMA.YonedaLemma.html ConCaT.CATEGORY_THEORY.LIMITS.Equalizers1.html ConCaT.CATEGORY_THEORY.ADJUNCTION.CCC.FunProd.html ConCaT.CATEGORY_THEORY.LIMITS.Iso_Limit.ht
Exploiting Hurkens's paradox [Hurkens95] for system U- so as to derive various contradictory contexts. The file is divided into various sub-modules which all follow the same structure: a section introduces the contradictory hypotheses and a theorem named paradox concludes the module with a proof of False. The Generic module contains the actual Hurkens's paradox for a postulated shallow encoding of
The Coq Proof Assistant A Tutorial Version 1 Gérard Huet, Gilles Kahn and Christine Paulin-Mohring LogiCal Project 1This research was partly supported by IST working group “Types” Getting started Coq is a Proof Assistant for a Logical Framework known as the Calculus of Inductive Constructions. It allows the interactive construction of formal proofs, and also the manipulation of functional programs
Coq is a formal proof management system. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive development of machine-checked proofs. Typical applications include the certification of properties of programming languages (e.g. the CompCert compiler certification project, the Verified Software Toolchain f
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