Reductive Logic and Proof-search: Proof Theory, Semantics, and Control

Author:   David J. Pym (, Professor of Logic & Computation, University of Bath and Royal Society Industry Fellow, Hewlett-Packard Laboratories, Bristol) ,  Eike Ritter (, Lecturer in Computer Science, University of Birmingham)
Publisher:   Oxford University Press
Volume:   45
ISBN:  

9780198526339


Pages:   232
Publication Date:   29 April 2004
Format:   Hardback
Availability:   To order   Availability explained
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Reductive Logic and Proof-search: Proof Theory, Semantics, and Control


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Overview

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 .

Full Product Details

Author:   David J. Pym (, Professor of Logic & Computation, University of Bath and Royal Society Industry Fellow, Hewlett-Packard Laboratories, Bristol) ,  Eike Ritter (, Lecturer in Computer Science, University of Birmingham)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Volume:   45
Dimensions:   Width: 16.20cm , Height: 1.80cm , Length: 24.20cm
Weight:   0.480kg
ISBN:  

9780198526339


ISBN 10:   0198526334
Pages:   232
Publication Date:   29 April 2004
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

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

Reviews

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<br>


Author Information

David J. Pym hold a Royal Society Industry Fellowship at Hewlett-Packard Laboratories, Bristol and the University of Bath.

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