Proof Complexity

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Logical Foundations of Proof Complexity

Author: Stephen Cook
language: en
Publisher: Cambridge University Press
Release Date: 2010-01-25
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.
Proof Complexity

Author: Jan Krajíček
language: en
Publisher: Cambridge University Press
Release Date: 2019-03-28
Offers a self-contained work presenting basic ideas, classical results, current state of the art and possible future directions in proof complexity.
Computational Complexity

Author: Sanjeev Arora
language: en
Publisher: Cambridge University Press
Release Date: 2009-04-20
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.