Logic And Computational Complexity
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Logical Foundations Of Mathematics And Computational Complexity
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Author : Pavel Pudlák
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-22
Logical Foundations Of Mathematics And Computational Complexity written by Pavel Pudlák and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. Logical Foundations of Mathematics and Computational Complexity covers a broad spectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof complexity. The author presents his ideas on how these areas are connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability. Emphasis is on explaining the essence of concepts and the ideas of proofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to more difficult ones. The notes after each section present some formal definitions, theorems and proofs. Logical Foundations of Mathematics and Computational Complexity is aimed at graduate students of all fields of mathematics who are interested in logic, complexity and foundations. It will also be of interest for both physicists and philosophers who are curious to learn the basics of logic and complexity theory.
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.
Arithmetic Proof Theory And Computational Complexity
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Author : Peter Clote
language : en
Publisher:
Release Date : 2023
Arithmetic Proof Theory And Computational Complexity written by Peter Clote and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Computational complexity categories.
This book principally concerns the area of "Logical Complexity Theory", the study of bounded arithmetic, propositional proof systems, length of proof, etc and relations to computational complexity theory. This includes an open problem list of 7 fundamental and 39 technical questions together with a bibliography of references.
A Concise Introduction To Mathematical Logic
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Author : Wolfgang Rautenberg
language : en
Publisher: Springer
Release Date : 2010-07-01
A Concise Introduction To Mathematical Logic written by Wolfgang Rautenberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-01 with Mathematics categories.
Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.
Descriptive Complexity
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Author : Neil Immerman
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-11-20
Descriptive Complexity written by Neil Immerman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-20 with Computers categories.
By virtue of the close relationship between logic and relational databases, it turns out that complexity has important applications to databases such as analyzing the parallel time needed to compute a query, and the analysis of nondeterministic classes. This book is a relatively self-contained introduction to the subject, which includes the necessary background material, as well as numerous examples and exercises.
Logic And Computational Complexity
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Author : Daniel Leivant
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-08-02
Logic And Computational Complexity written by Daniel Leivant and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-08-02 with Computers categories.
This book contains revised versions of papers invited for presentation at the International Workshop on Logic and Computational Complexity, LCC '94, held in Indianapolis, IN in October 1994. The synergy between logic and computational complexity has gained importance and vigor in recent years, cutting across many areas. The 25 revised full papers in this book contributed by internationally outstanding researchers document the state-of-the-art in this interdisciplinary field of growing interest; they are presented in sections on foundational issues, applicative and proof-theoretic complexity, complexity of proofs, computational complexity of functionals, complexity and model theory, and finite model theory.
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.
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.
Computability Complexity And Languages
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Author : Martin Davis
language : en
Publisher: Elsevier
Release Date : 1994-03-18
Computability Complexity And Languages written by Martin Davis and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-18 with Mathematics categories.
Computability, Complexity, and Languages is an introductory text that covers the key areas of computer science, including recursive function theory, formal languages, and automata. It assumes a minimal background in formal mathematics. The book is divided into five parts: Computability, Grammars and Automata, Logic, Complexity, and Unsolvability. - Computability theory is introduced in a manner that makes maximum use of previous programming experience, including a "universal" program that takes up less than a page. - The number of exercises included has more than tripled. - Automata theory, computational logic, and complexity theory are presented in a flexible manner, and can be covered in a variety of different arrangements.
Logic And Computational Complexity
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Author : Daniel Leivant
language : en
Publisher:
Release Date : 2014-01-15
Logic And Computational Complexity written by Daniel Leivant and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.