The Semantics and Proof Theory of the Logic of Bunched Implications (Applied Logic Series)

David J. Pym

ISBN 10: 9048160723 / ISBN 13: 9789048160723

Edité par Springer, 2002

A propos de cet article

338 pages. 9.25x6.10x0.77 inches. In Stock. N° de réf. du vendeur x-9048160723

Détails bibliographiques

Titre : The Semantics and Proof Theory of the Logic ...

Éditeur : Springer

Date d'édition : 2002

Reliure : Paperback

Etat : Brand New

A propos de ce titre

Présentation de l'éditeur:

This monograph provides a thorough account of the model theory, proof theory and computational interpretations of BI, the logic of bunched implications, which freely combines intuitionistic logic and multiplicative intuitionistic linear logic. Starting, on the one hand, from elementary observations about modelling resources and, on the other, from a desire to develop a system of logic within which additive (or extensional) and multiplicative (or intensional) implications co-exist with equal logical status, we give natural deduction, lambda-calculi, sequent calculus, categorical semantics, Kripke models, topological models, logical relations and computational interpretations for both propositional and predicate BI, within which both additive and multiplicative quantifiers also co-exist. This monograph will be of interest to graduate students and researchers in mathematical logic, philosophical logic, computational logic and theoretical computer science.