Reductive Logic and Proof-search
Proof Theory, Semantics, and Control
Series: Oxford Logic Guides; 45;
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Product details:
- Publisher OUP Oxford
- Date of Publication 29 April 2004
- ISBN 9780198526339
- Binding Hardback
- No. of pages232 pages
- Size 242x162x17 mm
- Weight 480 g
- Language English
- Illustrations numerous figures & tables 0
Categories
Short description:
This book is a specialized monograph on the development of the mathematical and computational metatheory of reductive logic and proof-search, including 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.
MoreLong description:
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 .
Table of Contents:
Preface
Foreword by Lincoln Wallen
Deductive Logic, Reductive Logic, and Proof-search
Lambda-calculi for Intuitionistic and Classical Proofs
The Semantics of Intuitionistic and Classical Proofs
Proof Theory for Reductive Logic
Semantics for Reductive Logic
Intuitionistic and Classical Proof-search and Their Semantics
References
Index
