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Synopsis
The Semantics and Proof Theory of the Logic of Bunched Implications Provides an 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. This monograph is aimed at graduates and researchers in mathematical logic, philosophical logic, computational logic and others. Full description
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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.
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- ÉditeurSpringer-Verlag New York Inc.
- Date d'édition2002
- ISBN 10 1402007450
- ISBN 13 9781402007453
- ReliureRelié
- Langueanglais
- Nombre de pages290
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The Semantics and Proof Theory of the Logic of Bunched Implications (Volume 26)
Edité par
Kluwer Academic, 2002
ISBN 10 : 1402007450
ISBN 13 : 9781402007453
Ancien ou d'occasion
Couverture rigide
Vendeur : Anybook.com, Lincoln, Royaume-Uni
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Etat : Good. Volume 26. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Library sticker on front cover. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,750grams, ISBN:9781402007453. N° de réf. du vendeur 5569693
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The Semantics and Proof Theory of the Logic of Bunched Implications
Edité par
Springer-Verlag New York Inc., 2002
ISBN 10 : 1402007450
ISBN 13 : 9781402007453
Ancien ou d'occasion
Couverture rigide
Vendeur : Ammareal, Morangis, France
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Hardcover. Etat : Très bon. Ancien livre de bibliothèque. Légères traces d'usure sur la couverture. Edition 2002. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Former library book. Slight signs of wear on the cover. Edition 2002. Ammareal gives back up to 15% of this item's net price to charity organizations. N° de réf. du vendeur E-551-376
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The Semantics and Proof Theory of the Logic of Bunched Implications (Applied Logic Series, 26)
Vendeur : Lucky's Textbooks, Dallas, TX, Etats-Unis
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Etat : New. N° de réf. du vendeur ABLIING23Mar2411530141259
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The Semantics and Proof Theory of the Logic of Bunched Implications
Edité par
Springer Netherlands Jul 2002, 2002
ISBN 10 : 1402007450
ISBN 13 : 9781402007453
Neuf
Buch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This is a monograph about logic. Specifically, it presents the mathe matical theory of the logic of bunched implications, BI: I consider Bl's proof theory, model theory and computation theory. However, the mono graph is also about informatics in a sense which I explain. Specifically, it is about mathematical models of resources and logics for reasoning about resources. I begin with an introduction which presents my (background) view of logic from the point of view of informatics, paying particular attention to three logical topics which have arisen from the development of logic within informatics: - Resources as a basis for semantics; - Proof-search as a basis for reasoning; and - The theory of representation of object-logics in a meta-logic. The ensuing development represents a logical theory which draws upon the mathematical, philosophical and computational aspects of logic. Part I presents the logical theory of propositional BI, together with a computational interpretation. Part II presents a corresponding devel opment for predicate BI. In both parts, I develop proof-, model- and type-theoretic analyses. I also provide semantically-motivated compu tational perspectives, so beginning a mathematical theory of resources. I have not included any analysis, beyond conjecture, of properties such as decidability, finite models, games or complexity. I prefer to leave these matters to other occasions, perhaps in broader contexts. 344 pp. Englisch. N° de réf. du vendeur 9781402007453
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The Semantics and Proof Theory of the Logic of Bunched Implications (Applied Logic Series, 26)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In. N° de réf. du vendeur ria9781402007453_new
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The Semantics and Proof Theory of the Logic of Bunched Implications
Edité par
Springer Netherlands, 2002
ISBN 10 : 1402007450
ISBN 13 : 9781402007453
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Etat : New. N° de réf. du vendeur 4092074
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The Semantics and Proof Theory of the Logic of Bunched Implications
Edité par
Springer Netherlands, Springer Netherlands, 2002
ISBN 10 : 1402007450
ISBN 13 : 9781402007453
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This is a monograph about logic. Specifically, it presents the mathe matical theory of the logic of bunched implications, BI: I consider Bl's proof theory, model theory and computation theory. However, the mono graph is also about informatics in a sense which I explain. Specifically, it is about mathematical models of resources and logics for reasoning about resources. I begin with an introduction which presents my (background) view of logic from the point of view of informatics, paying particular attention to three logical topics which have arisen from the development of logic within informatics: - Resources as a basis for semantics; - Proof-search as a basis for reasoning; and - The theory of representation of object-logics in a meta-logic. The ensuing development represents a logical theory which draws upon the mathematical, philosophical and computational aspects of logic. Part I presents the logical theory of propositional BI, together with a computational interpretation. Part II presents a corresponding devel opment for predicate BI. In both parts, I develop proof-, model- and type-theoretic analyses. I also provide semantically-motivated compu tational perspectives, so beginning a mathematical theory of resources. I have not included any analysis, beyond conjecture, of properties such as decidability, finite models, games or complexity. I prefer to leave these matters to other occasions, perhaps in broader contexts. N° de réf. du vendeur 9781402007453
Quantité disponible : 1 disponible(s)