Bounded Arithmetic

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Bounded Arithmetic, Propositional Logic and Complexity Theory

Author : Jan Krajicek
Publisher : Cambridge University Press
Page : 361 pages
File Size : 49,7 Mb
Release : 1995-11-24
Category : Computers
ISBN : 9780521452052

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Bounded Arithmetic, Propositional Logic and Complexity Theory by Jan Krajicek Pdf

Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.

Bounded Arithmetic

Author : Samuel R. Buss
Publisher : Unknown
Page : 238 pages
File Size : 49,9 Mb
Release : 1986
Category : Mathematics
ISBN : UOM:39015040414040

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Bounded Arithmetic by Samuel R. Buss Pdf

Logic, Language, Information, and Computation

Author : Juliette Kennedy,Ruy J.G.B. de Queiroz
Publisher : Springer
Page : 401 pages
File Size : 49,8 Mb
Release : 2017-07-10
Category : Mathematics
ISBN : 9783662553862

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Logic, Language, Information, and Computation by Juliette Kennedy,Ruy J.G.B. de Queiroz Pdf

Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 24th Workshop on Logic, Language, Information and Communication, WoLLIC 2017, held in London, UK, in August 2017. The 28 contributed papers were carefully reviewed and selected from 61 submissions. They cover interdisciplinary research in pure and applied logic, aiming at interactions between logic and the sciences related to information and computation.

Computer Science Logic

Author : Julian Bradfield
Publisher : Springer
Page : 628 pages
File Size : 45,6 Mb
Release : 2003-08-02
Category : Computers
ISBN : 9783540457930

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Computer Science Logic by Julian Bradfield Pdf

The Annual Conference of the European Association for Computer Science Logic, CSL 2002, was held in the Old College of the University of Edinburgh on 22–25 September 2002. The conference series started as a programme of Int- national Workshops on Computer Science Logic, and then in its sixth meeting became the Annual Conference of the EACSL. This conference was the sixteenth meeting and eleventh EACSL conference; it was organized by the Laboratory for Foundations of Computer Science at the University of Edinburgh. The CSL 2002 Programme Committee considered 111 submissions from 28 countries during a two week electronic discussion; each paper was refereed by at least three reviewers. The Committee selected 37 papers for presentation at the conference and publication in these proceedings. The Programme Committee invited lectures from Susumu Hayashi, Frank Neven, and Damian Niwinski; ́ the papers provided by the invited speakers appear at the front of this volume. In addition to the main conference, two tutorials – ‘Introduction to Mu- Calculi’ (Julian Brad?eld) and ‘Parametrized Complexity’ (Martin Grohe) – were given on the previous day.

Logical Foundations of Proof Complexity

Author : Stephen Cook,Phuong Nguyen
Publisher : Cambridge University Press
Page : 496 pages
File Size : 42,6 Mb
Release : 2010-01-25
Category : Mathematics
ISBN : 9781139486309

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Logical Foundations of Proof Complexity by Stephen Cook,Phuong Nguyen Pdf

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.

Forcing with Random Variables and Proof Complexity

Author : Jan Krajíček
Publisher : Cambridge University Press
Page : 265 pages
File Size : 42,9 Mb
Release : 2010-12-23
Category : Mathematics
ISBN : 9781139493925

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Forcing with Random Variables and Proof Complexity by Jan Krajíček Pdf

This book introduces a new approach to building models of bounded arithmetic, with techniques drawn from recent results in computational complexity. Propositional proof systems and bounded arithmetics are closely related. In particular, proving lower bounds on the lengths of proofs in propositional proof systems is equivalent to constructing certain extensions of models of bounded arithmetic. This offers a clean and coherent framework for thinking about lower bounds for proof lengths, and it has proved quite successful in the past. This book outlines a brand new method for constructing models of bounded arithmetic, thus for proving independence results and establishing lower bounds for proof lengths. The models are built from random variables defined on a sample space which is a non-standard finite set and sampled by functions of some restricted computational complexity. It will appeal to anyone interested in logical approaches to fundamental problems in complexity theory.

Metamathematics of First-Order Arithmetic

Author : Petr Hájek,Pavel Pudlák
Publisher : Cambridge University Press
Page : 475 pages
File Size : 53,9 Mb
Release : 2017-03-02
Category : Mathematics
ISBN : 9781107168411

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Metamathematics of First-Order Arithmetic by Petr Hájek,Pavel Pudlák Pdf

A much-needed monograph on the metamathematics of first-order arithmetic, paying particular attention to fragments of Peano arithmetic.

Computer Science Logic

Author : Anuj Dawar,Helmut Veith
Publisher : Springer
Page : 548 pages
File Size : 51,7 Mb
Release : 2010-08-14
Category : Computers
ISBN : 9783642152054

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Computer Science Logic by Anuj Dawar,Helmut Veith Pdf

Annotation. This volume constitutes the refereed proceedings of the 24th International Workshop on Computer Science Logic, CSL 2010, held in Brno, Czech Republic, in August 2010. The 33 full papers presented together with 7 invited talks, were carefully reviewed and selected from 103 submissions. Topics covered include automated deduction and interactive theorem proving, constructive mathematics and type theory, equational logic and term rewriting, automata and games, modal and temporal logic, model checking, decision procedures, logical aspects of computational complexity, finite model theory, computational proof theory, logic programming and constraints, lambda calculus and combinatory logic, categorical logic and topological semantics, domain theory, database theory, specification, extraction and transformation of programs, logical foundations of programming paradigms, verification and program analysis, linear logic, higher-order logic, and nonmonotonic reasoning.

Gödel '96

Author : Petr Hájek
Publisher : Cambridge University Press
Page : 331 pages
File Size : 45,9 Mb
Release : 2017-03-02
Category : Mathematics
ISBN : 9781107168022

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Gödel '96 by Petr Hájek Pdf

The proceedings of the conference 'Logical Foundations of Mathematics, Computer Science, and Physics - Kurt Gödel's Legacy', held in Brno, Czech Republic, on the 90th anniversary of Gödel's birth. The papers in this volume cover the wide range of topics Gödel's work touched, and affirm its continuing importance.

Logic and Foundations of Mathematics

Author : Andrea Cantini,Ettore Casari,Pierluigi Minari
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 51,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401721097

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Logic and Foundations of Mathematics by Andrea Cantini,Ettore Casari,Pierluigi Minari Pdf

The IOth International Congress of Logic, Methodology and Philosophy of Science, which took place in Florence in August 1995, offered a vivid and comprehensive picture of the present state of research in all directions of Logic and Philosophy of Science. The final program counted 51 invited lectures and around 700 contributed papers, distributed in 15 sections. Following the tradition of previous LMPS-meetings, some authors, whose papers aroused particular interest, were invited to submit their works for publication in a collection of selected contributed papers. Due to the large number of interesting contributions, it was decided to split the collection into two distinct volumes: one covering the areas of Logic, Foundations of Mathematics and Computer Science, the other focusing on the general Philosophy of Science and the Foundations of Physics. As a leading choice criterion for the present volume, we tried to combine papers containing relevant technical results in pure and applied logic with papers devoted to conceptual analyses, deeply rooted in advanced present-day research. After all, we believe this is part of the genuine spirit underlying the whole enterprise of LMPS studies.

Logic and Algebra

Author : Aldo Ursini,Paulo Agliano
Publisher : CRC Press
Page : 732 pages
File Size : 43,6 Mb
Release : 1996-05-30
Category : Mathematics
ISBN : 0824796063

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Logic and Algebra by Aldo Ursini,Paulo Agliano Pdf

"Attempts to unite the fields of mathematical logic and general algebra. Presents a collection of refereed papers inspired by the International Conference on Logic and Algebra held in Siena, Italy, in honor of the late Italian mathematician Roberto Magari, a leading force in the blossoming of research in mathematical logic in Italy since the 1960s."

Computer Science Logic

Author : Michael Kaminski,Simone Martini
Publisher : Springer Science & Business Media
Page : 523 pages
File Size : 47,5 Mb
Release : 2008-09-10
Category : Computers
ISBN : 9783540875307

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Computer Science Logic by Michael Kaminski,Simone Martini Pdf

This book constitutes the refereed proceedings of the 22nd International Workshop on Computer Science Logic, CSL 2008, held as the 17th Annual Conference of the EACSL in Bertinoro, Italy, in September 2008. The 31 revised full papers presented together with 4 invited lectures were carefully reviewed and selected from 102 submissions. All current aspects of logic in computer science are addressed, ranging from foundational and methodological issues to application issues of practical relevance. The book concludes with a presentation of this year's Ackermann award.

Mathematical Theory and Computational Practice

Author : Klaus Ambos-Spies,Benedikt Löwe,Wolfgang Merkle
Publisher : Springer Science & Business Media
Page : 524 pages
File Size : 52,5 Mb
Release : 2009-07-15
Category : Computers
ISBN : 9783642030734

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Mathematical Theory and Computational Practice by Klaus Ambos-Spies,Benedikt Löwe,Wolfgang Merkle Pdf

This book constitutes the proceedings of the 5th Conference on Computability in Europe, CiE 2009, held in Heidelberg, Germany, during July 19-24, 2009. The 34 papers presented together with 17 invited lectures were carefully reviewed and selected from 100 submissions. The aims of the conference is to advance our theoretical understanding of what can and cannot be computed, by any means of computation. It is the largest international meeting focused on computability theoretic issues.

Computer Science - Theory and Applications

Author : Edward A. Hirsch,Alexander A. Razborov,Alexei Semenov,Anatol Slissenko
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 51,5 Mb
Release : 2008-05-08
Category : Computers
ISBN : 9783540797081

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Computer Science - Theory and Applications by Edward A. Hirsch,Alexander A. Razborov,Alexei Semenov,Anatol Slissenko Pdf

The Third International Computer Science Symposium in Russia (CSR-2008) was held during June 7–12, 2008 in Moscow, Russia, hosted by Dorodnicyn Computing Centre of Russian Academy of Sciences, Institute for System P- gramming of Russian Academy of Sciences, Moscow State University, Moscow Institute of Open Education,andInstitute ofNew Technologies.It was the third event in the series of regular international meetings following CSR-2006 in St. Petersburg and CSR-2007 in Ekaterinburg. The symposiumwascomposedof twotracks:Theory andApplications/Te- nology.The opening lecture was given by Avi Wigdersonand eight other invited plenarylecturesweregivenby EricAllender,ZurabKhasidashvili,LeonidLevin, Pavel Pudl´ ak, Florin Spanachi, Limsoon Wong, Yuri Zhuravlev and Konstantin Rudakov, and Uri Zwick. This volume contains the accepted papers of both tracks and also some of the abstracts of the invited speakers. The scope of the proposed topics for the symposium was quite broad and covered basically all areas of computer science and its applications. We received 103 papers in total. The Program Committee of the Theory Track selected 27 papers out of 62 submissions. The Program Committee of the Applications/Technology Track selected 6 papers out of 41 submissions.