Algebraic Specifications, Higher-order Types and Set-theoretic Models

Hélène Kirchner 1 Peter D. Mosses
1 PROTHEO - Constraints, automatic deduction and software properties proofs
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : In most algebraic specification frameworks, the type system is restricted to sorts, subsorts, and first-order function types. This is in marked contrast to the so-called model-oriented frameworks, which provide higher-order types, interpreted set-theoretically as Cartesian products, function spaces, and power-sets. This paper presents a simple framework for algebraic specifications with higher-order types and set-theoretic models. It may be regarded as the basis for a Horn-clause approximation to the Z framework, and has the advantage of being amenable to prototyping and automated reasoning. Standard set-theoretic models are considered, and conditions are given for the existence of initial reducts of such models. Algebraic specifications for various set-theoretic concepts are considered.
Type de document :
Article dans une revue
Journal of Logic and Computation, Oxford University Press (OUP), 2001, 11 (3), pp.453-481
Liste complète des métadonnées

https://hal.inria.fr/inria-00100685
Contributeur : Publications Loria <>
Soumis le : mardi 26 septembre 2006 - 14:49:10
Dernière modification le : jeudi 11 janvier 2018 - 06:19:57

Identifiants

  • HAL Id : inria-00100685, version 1

Collections

Citation

Hélène Kirchner, Peter D. Mosses. Algebraic Specifications, Higher-order Types and Set-theoretic Models. Journal of Logic and Computation, Oxford University Press (OUP), 2001, 11 (3), pp.453-481. 〈inria-00100685〉

Partager

Métriques

Consultations de la notice

90