Logical Foundations of Proof Complexity (Paperback) (ISBN-13: 9781107694118)

This book treats bounded arithmetic and propositional proof complexity from the point of view of computational complexity. The first seven chapters include the necessary logical background for the material and are suitable for a graduate course. Associated with each of many complexity classes are both a two-sorted predicate calculus theory, with induction restricted to concepts in the class, and a propositional proof system. The result is a uniform treatment of many systems in the literature, including Buss's theories for the polynomial hierarchy and many disparate systems for complexity classes such as AC0, AC0(m), TC0, NC1, L, NL, NC, and P.

Author: Stephen Cook, Phuong Nguyen
ISBN-10: 1107694116
ISBN-13: 9781107694118
Publisher: Cambridge University Press
Language: English
Published: 03/06/2014
Pages: 496
Format: Paperback
Weight: 1.66lbs
Size: 9.21h x 6.14w x 1.11d