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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.
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
Logical Foundations of Proof Complexity
Language: en
Pages: 0
Authors: Stephen Cook
Categories: Mathematics
Type: BOOK - Published: 2014-03-06 - Publisher: Cambridge University Press

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This book treats bounded arithmetic and propositional proof complexity from the point of view of computational complexity. The first seven chapters include the
Proof Complexity
Language: en
Pages: 533
Authors: Jan Krajíček
Categories: Computers
Type: BOOK - Published: 2019-03-28 - Publisher: Cambridge University Press

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Offers a self-contained work presenting basic ideas, classical results, current state of the art and possible future directions in proof complexity.
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