| Thierry Coquand and Christine Paulin-Mohring. Inductively dened types. In P. Martin-Lf and G. Mints, editors, Proceedings of Colog'88, volume 417 of Lecture Notes in Computer Science. Sprin-ger-Verlag, 1990. |
....of the most important implementation choices and data structures. The overall knowledge of the architeture of Coq is needed to fully understand the technical details presented in this paper. 2 The Coq System Coq is a proof assistant implementing the calculus of inductive constructions [CPM90]. It is based on the so called Curry Howard isomorphism, which relates formulas to types and proofs to terms. Giving a proof of a theorem amounts to constructing a term of the type corresponding to the theorem. Coq provides a set of tactics to help the user interactively construct their ....
Thierry Coquand and Christine Paulin-Mohring. Inductively dened types. In P. Martin-Lf and G. Mints, editors, Proceedings of Colog'88, volume 417 of Lecture Notes in Computer Science. Springer-Verlag, 1990.
....the elimination rule and the de ning equations are called equality rules. Given the introduction rules, it is possible to mechanically derive the elimination rule and the equality rules for a set; how this can be done have been investigated by Martin L#f [29] Backhouse [2] Coquand and Paulin [9], and Dybjer[14] 5.1 The set of Boolean values The set of Boolean values is an example of an enumeration set. The values of an enumeration set are exactly the same as the constructors of the set and all constructors yield dioeerent elements. For the Booleans this means that there are two ways of ....
Thierry Coquand and Christine Paulin. Inductively deøned types. In Proceedings of the Workshop on Programming Logic, B#stad, 1989.
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Thierry Coquand and Christine Paulin-Mohring. Inductively dened types. In P. Martin-Lf and G. Mints, editors, Proceedings of Colog'88, volume 417 of Lecture Notes in Computer Science. Sprin-ger-Verlag, 1990.
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