A Survey of Lower Bounds for Satisfiability and Related Problems

A Survey of Lower Bounds for Satisfiability and Related Problems PDF Author: Dieter van Melkebeek
Publisher: Now Publishers Inc
ISBN: 1601980841
Category : Computers
Languages : en
Pages : 124

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Book Description
Surveys the recently discovered lower bounds for the time and space complexity of satisfiability and closely related problems. It overviews the state-of-the-art results on general deterministic, randomized, and quantum models of computation, and presents the underlying arguments in a unified framework.

A Survey of Lower Bounds for Satisfiability and Related Problems

A Survey of Lower Bounds for Satisfiability and Related Problems PDF Author: Dieter van Melkebeek
Publisher: Now Publishers Inc
ISBN: 1601980841
Category : Computers
Languages : en
Pages : 124

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Book Description
Surveys the recently discovered lower bounds for the time and space complexity of satisfiability and closely related problems. It overviews the state-of-the-art results on general deterministic, randomized, and quantum models of computation, and presents the underlying arguments in a unified framework.

Time-space Lower Bounds for Satisfiability and Related Problems on Randomized Machines

Time-space Lower Bounds for Satisfiability and Related Problems on Randomized Machines PDF Author: Scott Diehl
Publisher:
ISBN:
Category :
Languages : en
Pages : 128

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Book Description


Computational Complexity

Computational Complexity PDF Author: Sanjeev Arora
Publisher: Cambridge University Press
ISBN: 1139477366
Category : Computers
Languages : en
Pages : 519

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Book Description
This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set. The book starts with a broad introduction to the field and progresses to advanced results. Contents include: definition of Turing machines and basic time and space complexity classes, probabilistic algorithms, interactive proofs, cryptography, quantum computation, lower bounds for concrete computational models (decision trees, communication complexity, constant depth, algebraic and monotone circuits, proof complexity), average-case complexity and hardness amplification, derandomization and pseudorandom constructions, and the PCP theorem.

Computing and Combinatorics

Computing and Combinatorics PDF Author: Hung Q. Ngo
Publisher: Springer Science & Business Media
ISBN: 3642028829
Category : Computers
Languages : en
Pages : 552

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Book Description
The papers in this volume were selected for presentation at the 15th Annual InternationalComputing and CombinatoricsConference (COCOON 2009), held during July 13-15, 2009 in Niagara Falls, New York, USA. Previous meetings of this conference were held in Xian (1995), Hong Kong (1996), Shanghai (1997), Taipei(1998), Tokyo(1999), Sydney(2000), Guilin(2001), Singapore(2002), Big Sky (2003), Jeju Island (2004), Kunming (2005), Taipei (2006), Alberta (2007), and Dalian (2008). In response to the Call for Papers, 125 extended abstracts (not counting withdrawn papers) were submitted from 28 countries and regions, of which 51 were accepted. Authors of the submitted papers were from Cyprus (1), The Netherlands (1), Bulgaria (1), Israel (1), Vietnam (2), Finland (1), Puerto Rico (2), Australia (4), Norway (4), Portugal (1) Spain (2), France (16), Republic of Korea(3), Singapore(2), Italy(6), Iran, (4), Greece(7), Poland(4), Switzerland (8), Hong Kong (10), UK (12), India (7), Taiwan (18), Canada (23), China (19), Japan (39), Germany (44), and the USA (77). The submitted papers were evaluated by an international Technical P- gram Committee (TPC) consisting of Srinivas Aluru (Iowa State University, USA), Lars Arge (University of Aarhus, Denmark), Vikraman Arvind (Ins- tute of Mathematical Sciences, India), James Aspnes (Yale University, USA), Mikhail Atallah (Purdue University, USA), Gill Barequet (Technion - Israel - stitute of Technology, Israel), Michael Brudno (University of Toronto, Canada), Jianer Chen (Texas A & M, USA), Bhaskar DasGupta (University of Illinois at Chicago, USA), Anupam Gupta (Carnegie Mellon University, USA), Lane A.

Computational Complexity and Property Testing

Computational Complexity and Property Testing PDF Author: Oded Goldreich
Publisher: Springer Nature
ISBN: 3030436624
Category : Computers
Languages : en
Pages : 391

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Book Description
This volume contains a collection of studies in the areas of complexity theory and property testing. The 21 pieces of scientific work included were conducted at different times, mostly during the last decade. Although most of these works have been cited in the literature, none of them was formally published before. Within complexity theory the topics include constant-depth Boolean circuits, explicit construction of expander graphs, interactive proof systems, monotone formulae for majority, probabilistically checkable proofs (PCPs), pseudorandomness, worst-case to average-case reductions, and zero-knowledge proofs. Within property testing the topics include distribution testing, linearity testing, lower bounds on the query complexity (of property testing), testing graph properties, and tolerant testing. A common theme in this collection is the interplay between randomness and computation.

Open Problems in Mathematics

Open Problems in Mathematics PDF Author: John Forbes Nash, Jr.
Publisher: Springer
ISBN: 3319321625
Category : Mathematics
Languages : en
Pages : 547

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Book Description
The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary research for which mathematics plays a key role. This volume comprises highly selected contributions by some of the most eminent mathematicians in the international mathematical community on longstanding problems in very active domains of mathematical research. A joint preface by the two volume editors is followed by a personal farewell to John F. Nash, Jr. written by Michael Th. Rassias. An introduction by Mikhail Gromov highlights some of Nash’s legendary mathematical achievements. The treatment in this book includes open problems in the following fields: algebraic geometry, number theory, analysis, discrete mathematics, PDEs, differential geometry, topology, K-theory, game theory, fluid mechanics, dynamical systems and ergodic theory, cryptography, theoretical computer science, and more. Extensive discussions surrounding the progress made for each problem are designed to reach a wide community of readers, from graduate students and established research mathematicians to physicists, computer scientists, economists, and research scientists who are looking to develop essential and modern new methods and theories to solve a variety of open problems.

Database Programming Languages

Database Programming Languages PDF Author: Gavin Bierman
Publisher: Springer
ISBN: 3540314458
Category : Computers
Languages : en
Pages : 304

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Book Description
This book constitutes the thoroughly refereed post-proceedings of the 10th International Workshop on Database Programming Languages, DBPL 2005, held in Trondheim, Norway in August 2005 in conjunction with VLDB 2005 and in coordination with the XML Database Symposium, XSym 2005. The 17 revised full papers presented together with an invited paper were carefully selected during two round of reviewing and revision from 63 submissions. The papers are organized in topical sections on XML languages, XML and P2P data integration, XML query languages, types and XML, grammars, automata, and tree, as well as dependencies and constraints.

Current Trends in Theoretical Computer Science

Current Trends in Theoretical Computer Science PDF Author: Gheorghe Paeaun
Publisher: World Scientific
ISBN: 9812387838
Category : Computers
Languages : en
Pages : 1319

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Book Description
contents: vol 1 : Algorithms; Computational Complexity; Distributed Computing; Natural Computing.

Current Trends in Theoretical Computer Science

Current Trends in Theoretical Computer Science PDF Author: Gheorghe P?un
Publisher: World Scientific
ISBN: 9812562494
Category : Computers
Languages : en
Pages : 1319

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Book Description
This book is based on columns and tutorials published in the Bulletin of the European Association for Theoretical Computer Science (EATCS) during the period 2000OCo2003. It presents many of the most active current research lines in theoretical computer science. The material appears in two volumes, OC Algorithms and ComplexityOCO and OC Formal Models and SemanticsOCO, reflecting the traditional division of the field. The list of contributors includes many of the well-known researchers in theoretical computer science. Most of the articles are reader-friendly and do not presuppose much knowledge of the area in question. Therefore, the book constitutes very suitable supplementary reading material for various courses and seminars in computer science. Contents: Vol 1: Algorithms; Computational Complexity; Distributed Computing; Natural Computing; Vol 2: Formal Specification; Logic in Computer Science; Concurrency; Formal Language Theory. Readership: Upper level undergraduates, graduate students and researchers in theoretical computer science and biocomputing."

Current Trends In Theoretical Computer Science: The Challenge Of The New Century; Vol 1: Algorithms And Complexity; Vol 2: Formal Models And Semantics

Current Trends In Theoretical Computer Science: The Challenge Of The New Century; Vol 1: Algorithms And Complexity; Vol 2: Formal Models And Semantics PDF Author: Grzegorz Rozenberg
Publisher: World Scientific
ISBN: 9814483052
Category : Computers
Languages : en
Pages : 1319

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Book Description
This book is based on columns and tutorials published in the Bulletin of the European Association for Theoretical Computer Science (EATCS) during the period 2000-2003. It presents many of the most active current research lines in theoretical computer science. The material appears in two volumes, “Algorithms and Complexity” and “Formal Models and Semantics”, reflecting the traditional division of the field.The list of contributors includes many of the well-known researchers in theoretical computer science. Most of the articles are reader-friendly and do not presuppose much knowledge of the area in question. Therefore, the book constitutes very suitable supplementary reading material for various courses and seminars in computer science.