The Semantics and Proof Theory of the Logic of Bunched Implications

Language: English

Published by Springer, Springer, 2010

9048160723 / 9789048160723

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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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.

Seller Inventory # 9789048160723

Title
The Semantics and Proof Theory of the Logic of Bunched Implications
Author
David J. Pym
Publisher
Springer, Springer
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
9048160723
ISBN 13
9789048160723
Item weight
517 grams
Dimensions
235x155x19 mm

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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