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The Semantics and Proof Theory of the Logic of Bunched Implications (Applied Logic Series, 26) - Hardcover
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.
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Review
From the reviews:
"This monograph presents a mathematical theory of the logic of BI ... . Due to the author’s clear and approachable style this book may be interesting to a large circle of logicians, mathematicians and computer scientists. In particular, it could be useful to graduate students, specialists and researchers in the field of applications of logic in programming. In addition to its other qualities, this book also presents a significant contribution to a new area of mathematical logic―fibring logic ... .” (Branislav Boricic, Mathematical Reviews, Issue 2008 i)
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- PublisherSpringer
- Publication date2002
- ISBN 10 1402007450
- ISBN 13 9781402007453
- BindingHardcover
- LanguageEnglish
- Number of pages339
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The Semantics and Proof Theory of the Logic of Bunched Implications (Volume 26)
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Condition: 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. Seller Inventory # 5569693
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The Semantics and Proof Theory of the Logic of Bunched Implications
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ISBN 10: 1402007450
ISBN 13: 9781402007453
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The Semantics and Proof Theory of the Logic of Bunched Implications (Applied Logic Series, 26)
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The Semantics and Proof Theory of the Logic of Bunched Implications (Applied Logic Series, 26)
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The Semantics and Proof Theory of the Logic of Bunched Implications
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ISBN 10: 1402007450
ISBN 13: 9781402007453
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Buch. Condition: 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. Seller Inventory # 9781402007453
Quantity: 2 available
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The Semantics and Proof Theory of the Logic of Bunched Implications
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The Semantics and Proof Theory of the Logic of Bunched Implications
Published by
Springer Netherlands, Springer Netherlands, 2002
ISBN 10: 1402007450
ISBN 13: 9781402007453
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Hardcover
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Buch. Condition: 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. Seller Inventory # 9781402007453
Quantity: 1 available