InforLorV4, Hal, Corpus, bibRecord, 002A92

Inductive types in the Calculus of Algebraic Constructions

Identifieur interne : 002A92 ( Hal/Corpus ); précédent : 002A91; suivant : 002A93

Inductive types in the Calculus of Algebraic Constructions

Auteurs : Frédéric Blanqui

Source :

Fundamenta Informaticae [ 0169-2968 ] ; 2005.

RBID : Hal:inria-00105655

English descriptors

mix :
- dependent types, inductive types, lambda calculus, polymorphism, rewriting, termination.

Abstract

In a previous work, we proved that an important part of the Calculus of Inductive Constructions (CIC), the basis of the Coq proof assistant, can be seen as a Calculus of Algebraic Constructions (CAC), an extension of the Calculus of Constructions with functions and predicates defined by higher-order rewrite rules. In this paper, we prove that almost all CIC can be seen as a CAC, and that it can be further extended with non-strictly positive types and inductive-recursive types together with non-free constructors and pattern-matching on defined symbols.

Url:

https://hal.inria.fr/inria-00105655

Links to Exploration step

Hal:inria-00105655

Le document en format XML

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Inductive types in the Calculus of Algebraic Constructions

Inductive types in the Calculus of Algebraic Constructions

Source :

English descriptors

Abstract

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri