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Arithmetic, Proof Theory, and Computational Complexity

Arithmetic, Proof Theory, and Computational Complexity (Hardback)

Edited by Clote, Peter
Edited by Krajicek, Jan

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This book principally concerns the rapidly growing area of what might be termed Logical Complexity Theory , the study of bounded arithmetic, propositional proof systems, length of proof, etc and relations to computational complexity theory. Issuing from a two-year NSF and Czech A...cademy of Sciences grant supporting a month-long workshop and 3-day conference in San Diego (1990) and Prague (1991), the book contains refereed articles concerning the existence of the most general unifier, a special case of Kreisel's conjecture on length-of-proof, propositional logic proof size, a new alternating logtime algorithm for boolean formula evaluation and relation to branching programs, interpretability between fragments of arithmetic, feasible interpretability, provability logic, open induction, Herbrand-type theorems, isomorphism between first and second order bounded arithmetics, forcing techniques in bounded arithmetic, ordinal arithmetic in L D o . Also included is an extended abstract of J P Ressayre's new approach concerning the model completeness of the theory of real closed exponential fields. Additional features of the book include (1) the transcription and translation of a recently discovered 1956 letter from K Godel to J von Neumann, asking about a polynomial time algorithm for the proof in k-symbols of predicate calculus formulas (equivalent to the P-NP question), (2) an OPEN PROBLEM LIST consisting of 7 fundamental and 39 technical questions contributed by many researchers, together with a bibliography of relevant references.
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ISBN 9780198536901
Released NZ 6 May 1993
Publisher Oxford University Press (S1)
Format Hardback
Series Oxford Logic Guides (part: 23)
Indent title (internationally sourced), allow 8-12 weeks

Full details for this title

ISBN-13 9780198536901
Stock Available
Status Indent title (internationally sourced), allow 8-12 weeks
Publisher Oxford University Press (S1)
Imprint Clarendon Press
Released 6 May 1993
Publication Country United Kingdom United Kingdom
Format Hardback
Author(s) Edited by Clote, Peter
Edited by Krajicek, Jan
Series Oxford Logic Guides (part: 23)
Category Mathematical Logic
Combinatorics & Graph Theory
Number of Pages 442
Dimensions Width: 162mm
Height: 242mm
Spine: 30mm
Dewey Code 513
Weight 810g
Interest Age General Audience
Reading Age General Audience
Library of Congress Proof theory, Computational complexity
NBS Text Mathematics
ONIX Text Professional and scholarly