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The Semantics And Proof Theory Of The Logic Of Bunched Implications (Applied Logic Series) - Couverture souple
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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
- Date d'édition2010
- ISBN 10 9048160723
- ISBN 13 9789048160723
- ReliureBroché
- Nombre de pages340
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The Semantics And Proof Theory Of The Logic Of Bunched Implications (Applied Logic Series) by Pym, David J. [Paperback ]
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The Semantics and Proof Theory of the Logic of Bunched Implications (Applied Logic Series, 26)
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Description du livre Etat : New. N° de réf. du vendeur ABLIING23Apr0316110337466
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The Semantics and Proof Theory of the Logic of Bunched Implications
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ISBN 13 : 9789048160723
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Description du livre Etat : New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. N° de réf. du vendeur ria9789048160723_lsuk
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The Semantics and Proof Theory of the Logic of Bunched Implications
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ISBN 13 : 9789048160723
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Description du livre Taschenbuch. 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. 340 pp. Englisch. N° de réf. du vendeur 9789048160723
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The Semantics and Proof Theory of the Logic of Bunched Implications
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Springer Netherlands
(2010)
ISBN 10 : 9048160723
ISBN 13 : 9789048160723
Neuf
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Description du livre Etat : New. N° de réf. du vendeur 5819925
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The Semantics and Proof Theory of the Logic of Bunched Implications
Edité par
Springer Netherlands
(2010)
ISBN 10 : 9048160723
ISBN 13 : 9789048160723
Neuf
Taschenbuch
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Description du livre Taschenbuch. 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 9789048160723
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The Semantics and Proof Theory of the Logic of Bunched Implications (Applied Logic Series)
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(2002)
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ISBN 13 : 9789048160723
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Description du livre Paperback. Etat : Brand New. 338 pages. 9.25x6.10x0.77 inches. In Stock. N° de réf. du vendeur x-9048160723
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The Semantics and Proof Theory of the Logic of Bunched Implications
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Springer
(2010)
ISBN 10 : 9048160723
ISBN 13 : 9789048160723
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Description du livre Etat : New. 2010. Softcover reprint of hardcover 1st ed. 2002. paperback. . . . . . N° de réf. du vendeur V9789048160723
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The Semantics and Proof Theory of the Logic of Bunched Implications
Edité par
Springer
(2010)
ISBN 10 : 9048160723
ISBN 13 : 9789048160723
Neuf
Couverture souple
Quantité disponible : 15
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Description du livre Etat : New. 2010. Softcover reprint of hardcover 1st ed. 2002. paperback. . . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9789048160723
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