Bounded Arithmetic Propositional Logic And Complexity Theory
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Bounded Arithmetic Propositional Logic And Complexity Theory
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Author : Jan Krajicek
language : en
Publisher: Cambridge University Press
Release Date : 1995-11-24
Bounded Arithmetic Propositional Logic And Complexity Theory written by Jan Krajicek and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-24 with Computers categories.
Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.
Bounded Arithmetic Propositional Logic And Complexity Theory
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Author : Jan Krajicek
language : en
Publisher:
Release Date : 2014-05-18
Bounded Arithmetic Propositional Logic And Complexity Theory written by Jan Krajicek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-18 with Computational complexity categories.
Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.
Bounded Arithmetic Propositional Logic And Complexity Theory
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Author : Jan Kraj!cek
language : en
Publisher:
Release Date :
Bounded Arithmetic Propositional Logic And Complexity Theory written by Jan Kraj!cek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Arithmetic Proof Theory And Computational Complexity
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Author : Peter Clote
language : en
Publisher: Clarendon Press
Release Date : 1993-05-06
Arithmetic Proof Theory And Computational Complexity written by Peter Clote and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-05-06 with Mathematics categories.
This book principally concerns the rapidly growing area of "Logical Complexity Theory", the study of bounded arithmetic, propositional proof systems, length of proof, etc and relations to computational complexity theory. Additional features of the book include (1) the transcription and translation of a recently discovered 1956 letter from K Godel to J von Neumann, asking about a polynomial time algorithm for the proof in k-symbols of predicate calculus formulas (equivalent to the P-NP question), (2) an OPEN PROBLEM LIST consisting of 7 fundamental and 39 technical questions contributed by many researchers, together with a bibliography of relevant references.
Proof Complexity
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Author : Jan Krajíček
language : en
Publisher: Cambridge University Press
Release Date : 2019-03-28
Proof Complexity written by Jan Krajíček and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-28 with Computers categories.
Offers a self-contained work presenting basic ideas, classical results, current state of the art and possible future directions in proof complexity.
Logical Foundations Of Proof Complexity
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Author : Stephen Cook
language : en
Publisher: Cambridge University Press
Release Date : 2014-03-06
Logical Foundations Of Proof Complexity written by Stephen Cook and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-06 with Mathematics categories.
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.
Propositional Logic
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Author : Hans Kleine Büning
language : en
Publisher: Cambridge University Press
Release Date : 1999-08-28
Propositional Logic written by Hans Kleine Büning and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-08-28 with Computers categories.
This account of propositional logic concentrates on the algorithmic translation of important methods, especially of decision procedures for (subclasses of) propositional logic. Important classical results and a series of new results taken from the fields of normal forms, satisfiability and deduction methods are arranged in a uniform and complete theoretic framework. The algorithms presented can be applied to VLSI design, deductive databases and other areas. After introducing the subject the authors discuss satisfiability problems and satisfiability algorithms with complexity considerations, the resolution calculus with different refinements, and special features and procedures for Horn formulas. Then, a selection of further calculi and some results on the complexity of proof procedures are presented. The last chapter is devoted to quantified boolean formulas. The algorithmic approach will make this book attractive to computer scientists and graduate students in areas such as automated reasoning, logic programming, complexity theory and pure and applied logic.
Proof Complexity And Feasible Arithmetics
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Author : Paul W. Beame
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Proof Complexity And Feasible Arithmetics written by Paul W. Beame and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Computers categories.
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 and what resources are necessary to make such inferences, questions that play a large role in computer science and artificial intelligence. They discuss such aspects as lower bounds in proof complexity, witnessing theorems and proof systems for feasible arithmetic, algebraic and combinatorial proof systems, and the relationship between proof complexity and Boolean circuit complexity. No index. Member prices are $47 for institutions and $35 for individuals. Annotation copyrighted by Book News, Inc., Portland, OR.
Computational Complexity
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Author : Sanjeev Arora
language : en
Publisher: Cambridge University Press
Release Date : 2009-04-20
Computational Complexity written by Sanjeev Arora and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-20 with Computers categories.
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Bounded Arithmetic
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Author : Samuel R. Buss
language : en
Publisher:
Release Date : 1986
Bounded Arithmetic written by Samuel R. Buss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.