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Item Details
| Title:
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THE SEMANTICS AND PROOF THEORY OF THE LOGIC OF BUNCHED IMPLICATIONS
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| By: |
David J. Pym |
| Format: |
Hardback |
| List price:
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£175.50 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1402007450 |
| ISBN 13: |
9781402007453 |
| Publisher: |
KLUWER ACADEMIC PUBLISHERS |
| Pub. date: |
31 July, 2002 |
| Edition: |
2002 ed. |
| Series: |
Applied Logic Series v. 26 |
| Pages: |
290 |
| Description: |
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. |
| Synopsis: |
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. |
| Illustrations: |
biography |
| Publication: |
US |
| Imprint: |
Kluwer Academic Publishers |
| Returns: |
Returnable |
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