HOL-$\lambda \sigma$ an intentional first-order expression of higher-order logic - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 1999

HOL-$\lambda \sigma$ an intentional first-order expression of higher-order logic

Gilles Dowek
  • Fonction : Auteur
Thérèse Hardin
  • Fonction : Auteur

Résumé

We propose a first-order presentation of higher-order logic based on explicit substitutions. It is intentionally equivalent to the usual presentation of higher-order logic based on $\lambda$-calculus, i.e. a proposition can be proved without the extensionality axioms in one theory if and only if it can in the other. The {\em Extended Narrowing and Resolution} first-order proof-search method can be applied to this theory. This allows to simulate higher-order resolution step by step and furthermore leaves room for further optimizations and extensions.
Fichier non déposé

Dates et versions

inria-00098847 , version 1 (26-09-2006)

Identifiants

  • HAL Id : inria-00098847 , version 1

Citer

Gilles Dowek, Thérèse Hardin, Claude Kirchner. HOL-$\lambda \sigma$ an intentional first-order expression of higher-order logic. Tenth International Conference on Rewriting Techniques & Applications - RTA'99, Jul 1999, Trento, Italy, 14 p. ⟨inria-00098847⟩
76 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More