Bounded Arithmetic, Propositional Logic and Complexity Theory - Rilegato

Krajicek, Jan

Rilegato

ISBN 10: 0521452058 ISBN 13: 9780521452052

Casa editrice: Cambridge University Press, 1995

Riassunto

This book presents an up-to-date, unified treatment of research in bounded arithmetic and complexity of propositional logic, with emphasis on independence proofs and lower bound proofs. The author discusses the deep connections between logic and complexity theory and lists a number of intriguing open problems. An introduction to the basics of logic and complexity theory is followed by discussion of important results in propositional proof systems and systems of bounded arithmetic. More advanced topics are then treated, including polynomial simulations and conservativity results, various witnessing theorems, the translation of bounded formulas (and their proofs) into propositional ones, the method of random partial restrictions and its applications, direct independence proofs, complete systems of partial relations, lower bounds to the size of constant-depth propositional proofs, the method of Boolean valuations, the issue of hard tautologies and optimal proof systems, combinatorics and complexity theory within bounded arithmetic, and relations to complexity issues of predicate calculus. Students and researchers in mathematical logic and complexity theory will find this comprehensive treatment an excellent guide to this expanding interdisciplinary area.

Su questo libro

Recensione:

'This interesting book provides a brisk account of current research in bounded arithmetic and the complexity of propositional logic.' Mathematika

'It can be strongly recommended especially to mathematicians and computer scientists working in the field and to graduate students.' European Mathematical Society Newsletter

Descrizione del libro:

An up-to-date, unified treatment of research in this interdisciplinary subject, with emphasis on independence proofs and lower bound proofs. The author discusses the deep connections between logic and computational complexity theory and lists a number of intriguing open problems.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1995
• ISBN 10: 0521452058
• ISBN 13: 9780521452052
• Rilegatura: Copertina rigida
• Numero di pagine: 360