Logical Foundations of Proof Complexity (Hardcover)
Language: English
Published by Cambridge University Press, Cambridge, 2010
- Hardcover
- New

Seller: CitiRetail, Stevenage, United KingdomCitiRetail
AbeBooks seller since June 29, 2022
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Hardcover. 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 complexity classes range from AC0 for the weakest theory up to the polynomial hierarchy. Each bounded theorem in a theory translates into a family of (quantified) propositional tautologies with polynomial size proofs in the corresponding proof system. The theory proves the soundness of the associated 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. 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. The result is a uniform treatment of many systems in the literature. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…
Seller Inventory # 9780521517294
- Title
- Logical Foundations of Proof Complexity (Hardcover)
- Author
- Stephen Cook
- Publisher
- Cambridge University Press, Cambridge
- Publication year
- 2010
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 052151729X
- ISBN 13
- 9780521517294
"Synopsis" may belong to another edition of this title.
About the Author
Phuong Nguyen (Nguyễn Thế Phương) received his MSc and PhD degrees from University of Toronto in 2004 and 2008 respectively. He has been awarded postdoctoral fellowships by the Eduard Čech Center for Algebra and Geometry (the Czech Republic) for 2008–9, and by the Natural Sciences and Engineering Research Council of Canada (NSERC), effective September 2009.
"About the title" may belong to another edition of this title.
CitiRetail
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