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Reductive Logic and Proof-search : Proof Theory, Semantics, and Control - David J. Pym

Reductive Logic and Proof-search

Proof Theory, Semantics, and Control

Hardcover Published: 1st May 2004
ISBN: 9780198526339
Number Of Pages: 232

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This book is a specialized monograph on the development of the mathematical and computational metatheory of reductive logic and proof-search, areas of logic that are becoming important in computer science. A systematic foundational text on these emerging topics, it includes proof-theoretic, semantic/model-theoretic and algorithmic aspects. The scope ranges from the conceptual background to reductive logic, through its mathematical metatheory, to its modern applications in the computational sciences. Suitable for researchers and graduate students in mathematical, computational and philosophical logic, and in theoretical computer science and artificial intelligence, this is the latest in the prestigous world-renowned Oxford Logic Guides, which contains Michael Dummet's Elements of intuitionism (2nd Edition), Dov M. Gabbay, Mark A. Reynolds, and Marcelo Finger's Temporal Logic Mathematical Foundations and Computational Aspects , J. M. Dunn and G. Hardegree's Algebraic Methods in Philosophical Logic, H. Rott's Change, Choice and Inference: A Study of Belief Revision and Nonmonotonic Reasoning , and P. T. Johnstone's Sketches of an Elephant: A Topos Theory Compendium: Volumes 1 and 2 .


"Drawing somewhat on the techniques and culture of philosophy, but mostly on those of mathematics and computing, Pyn (U. of Bath) and Ritter (U. of Birmingham) introduce reductive logic and proof-search. They argue that the reductive view of logic is at least as fundamental as the deductive view;
identify some of the problems that must be addressed in order to provide a semantics of proof-searches of comparable value to the corresponding semantics of proof; and explain how to solve these problems in intuitionistic logic, which adequately models not only the logical but also the operational
aspects of the reductive system. "--SciTech Book News

"Drawing somewhat on the techniques and culture of philosophy, but mostly on those of mathematics and computing, Pyn (U. of Bath) and Ritter (U. of Birmingham) introduce reductive logic and proof-search. They argue that the reductive view of logic is at least as fundamental as the deductive view;
identify some of the problems that must be addressed in order to provide a semantics of proof-searches of comparable value to the corresponding semantics of proof; and explain how to solve these problems in intuitionistic logic, which adequately models not only the logical but also the operational
aspects of the reductive system. "--SciTech Book News

"Drawing somewhat on the techniques and culture of philosophy, but mostly on those of mathematics and computing, Pyn (U. of Bath) and Ritter (U. of Birmingham) introduce reductive logic and proof-search. They argue that the reductive view of logic is at least as fundamental as the deductive view; identify some of the problems that must be addressed in order to provide a semantics of proof-searches of comparable value to the corresponding semantics of proof; and explain how to solve these problems in intuitionistic logic, which adequately models not only the logical but also the operational aspects of the reductive system. "--SciTech Book News


"Drawing somewhat on the techniques and culture of philosophy, but mostly on those of mathematics and computing, Pyn (U. of Bath) and Ritter (U. of Birmingham) introduce reductive logic and proof-search. They argue that the reductive view of logic is at least as fundamental as the deductive view; identify some of the problems that must be addressed in order to provide a semantics of proof-searches of comparable value to the corresponding semantics of proof; and explain how to solve these problems in intuitionistic logic, which adequately models not only the logical but also the operational aspects of the reductive system. "--SciTech Book News


Preface Foreword by Lincoln Wallen 1: Deductive Logic, Reductive Logic, and Proof-search 2: Lambda-calculi for Intuitionistic and Classical Proofs 3: The Semantics of Intuitionistic and Classical Proofs 4: Proof Theory for Reductive Logic 5: Semantics for Reductive Logic 6: Intuitionistic and Classical Proof-search and Their Semantics References Index

ISBN: 9780198526339
ISBN-10: 0198526334
Series: Oxford Logic Guides
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 232
Published: 1st May 2004
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 24.2 x 16.2  x 1.8
Weight (kg): 0.48