Reductive Logic and Proof-search

Proof Theory, Semantics, and Control

David J. Pym, Eike Ritter (Autoren)

Buch | Hardcover

232 Seiten

2004
Oxford University Press (Verlag)
978-0-19-852633-9 (ISBN)

Artikel merken

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.

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 .

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

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

Erscheint lt. Verlag	29.4.2004
Reihe/Serie	Oxford Logic Guides ; 45
Zusatzinfo	numerous figures & tables
Verlagsort	Oxford
Sprache	englisch
Maße	162 x 242 mm
Gewicht	480 g
Themenwelt	Geisteswissenschaften ► Philosophie ► Logik
	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	0-19-852633-4 / 0198526334
ISBN-13	978-0-19-852633-9 / 9780198526339
Zustand	Neuware