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List of coding sprints: 2015, Sophia-Antipolis (Nice) CoqCS1. 2016, Sophia-Antipolis (Nice) CoqIW2016. To the extent possible under law, the contributors of “Cocorico!, the Coq wiki” have waived all copyright and related or neighboring rights to their contributions. By contributing to Cocorico!, the Coq wiki, you agree that you hold the copyright and you agree to license your contribution under th
Standard Library | The Coq Proof Assistant
These are the notations whose level and associativity are imposed by Coq Reserved Notation "x -> y" (at level 99, right associativity, y at level 200). Reserved Notation "x <-> y" (at level 95, no associativity). Reserved Notation "x /\ y" (at level 80, right associativity). Reserved Notation "x \/ y" (at level 85, right associativity). Reserved Notation "~ x" (at level 75, right associativity). R
Standard Library | The Coq Proof Assistant
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
Chapter 4 Calculus of Inductive Constructions
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
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