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Arithmetic, Proof Theory, and Computational Complexity
Language: en
Pages: 442
Authors: Peter Clote
Categories: Mathematics
Type: BOOK - Published: 1993-05-06 - Publisher: Clarendon Press

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This book principally concerns the rapidly growing area of "Logical Complexity Theory", the study of bounded arithmetic, propositional proof systems, length of
Bounded Arithmetic, Propositional Logic and Complexity Theory
Language: en
Pages: 361
Authors: Jan Krajicek
Categories: Computers
Type: BOOK - Published: 1995-11-24 - Publisher: Cambridge University Press

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Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.
Computational Complexity
Language: en
Pages: 609
Authors: Sanjeev Arora
Categories: Computers
Type: BOOK - Published: 2009-04-20 - Publisher: Cambridge University Press

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New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Proof Complexity and Feasible Arithmetics
Language: en
Pages: 335
Authors: Paul W. Beame
Categories: Computers
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

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The 16 papers reflect some of the breakthroughs over the past dozen years in understanding whether or not logical inferences can be made in certain situations a
Mathematics and Computation
Language: en
Pages: 434
Authors: Avi Wigderson
Categories: Computers
Type: BOOK - Published: 2019-10-29 - Publisher: Princeton University Press

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From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, a