Substructural Logics

Hardcover | November 1, 1992

EditorKosta Dosen, Peter Schroder-Heister

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Substructural logics are nonclassical logics, which arose in response to problems in foundations of mathematics and logic, theoretical computer science, mathematical linguistics, and category theory. They include intuitionistic logic, relevant logic, BCK logic, linear logic, and Lambek'scalculus of syntactic categories. Substructural logics differ from classical logics, and from each other, in their presuppositions about Gentzen's structural rules, although their presuppositions about the deductive role of logic constants are invariant. Substructural logics have been a subject of study for logicians during the last sixty years. Specialists have often worked in isolation, however, largely unaware of the contributions of others. This book brings together new papers by some of the most eminent authorities in these various traditionsto produce a unified view of substructural logics.

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Substructural logics are nonclassical logics, which arose in response to problems in foundations of mathematics and logic, theoretical computer science, mathematical linguistics, and category theory. They include intuitionistic logic, relevant logic, BCK logic, linear logic, and Lambek'scalculus of syntactic categories. Substructural...

From the Jacket

The new area of logic and computation is now undergoing rapid development. This has affected the social pattern of research in the area. A new topic may rise very quickly with a significant body of research around it. The community, however, cannot wait the traditional two years for a book to appear. This has given greater importance t...

Kosta Dosen is at Mathematical Institute, Belgrade. Peter Schroder-Heister is at Universitat Tubingen.

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Paperback|Dec 1 2004

$38.28 online$40.95list price(save 6%)
Format:HardcoverDimensions:396 pages, 9.21 × 6.14 × 1.06 inPublished:November 1, 1992Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198537778

ISBN - 13:9780198537779

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Table of Contents

A historical introduction to substructural logicsLife in the undistributed middleTheorems in classical logic are instances of theorems in condensed BCI logicPartial gaggles applied to logics with restricted structural rulesA general theory of structured consequence relationsDecidability and interpolation for a first-order relevance logicLogic without structural rules (another look at cut elimination)From categorial grammar to bilinear logicThe semantics of entailment OLambda terms with functional symbols and decidability in certain closed categoriesTutorial on linear logicThe landscape of deductionIndex

Editorial Reviews

`It unites a number of research papers from the various traditions with some admirable survey articles ... this is a good collection of papers that would be useful to beginners in the field; it admirably fulfils the editors' ambition to bring together researchers from the different traditionsin peaceful and fruitful collaboration.'A. Urquhart, University of Toronto, History and Philosophy of Logic, 16 (1995)