Proof Complexity and Feasible Arithmetics

DIMACS Workshop, April 21-24, 1996

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Author: Paul W. Beame,Samuel R. Buss

Publisher: American Mathematical Soc.

ISBN: 9780821870822

Category: Mathematics

Page: 320

View: 5314

Questions of mathematical proof and logical inference have been a significant thread in modern mathematics and have played a formative role in the development of computer science and artificial intelligence. Research in proof complexity and feasible theories of arithmetic aims at understanding not only whether or not logical inferences can be made but also what resources are required to carry them out. Understanding the resources required for logical inferences has major implications for some of the most important problems in computational complexity, particularly the problem of whether or not NP is equal to co-NP. In addition, these have important implications for the efficiency of automated reasoning systems. The last dozen years have seen several breakthroughs in the study of these resource requirement. Papers in this volume represent the proceedings of the DIMACS workshop on "Feasible Arithmetics and Proof Complexity" held in April 1996 in Rutgers, NJ, as part of the DIMACS Institute's Special Year on Logic and Algorithms. This book brings together some of the most recent work of leading researchers in proof complexity and feasible arithmetic reflecting many of these advances. It covers a number of aspects of the field including lower bounds in proof complexity, witnessing theorems and proof systems for feasible arithmetic, algebraic and combinatorial proof systems, interpolation theorems, and the relationship between proof complexity and Boolean circuit complexity.

Computability

Computable Functions Logic and the Foundations of Math

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Author: Richard L. Epstein,Walter Alexandr Carnielli

Publisher: Chapman and Hall/CRC

ISBN: 9780534103569

Category: Mathematics

Page: 297

View: 3731

An introduction to recursion theory and particularly to the theory of computing, including fourteen readings by Hilbert, Godel, Turing, Post, Church, and others along with a discussion of issues such as self-reference and infinite sets. Annotation copyrighted by Book News, Inc., Portland, OR

AI*IA 99:Advances in Artificial Intelligence

6th Congress of the Italian Association for Artificial Intelligence Bologna, Italy, September 14-17, 1999 Selected Papers

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Author: Associazione italiana per l'intelligenza artificiale. Congress

Publisher: Springer Science & Business Media

ISBN: 3540673504

Category: Computers

Page: 392

View: 7366

This book constitutes the thoroughly refereed post-conference proceedings of the 6th Congress of the Italian Association for Artificial Intelligence, AI*IA 99, held in Bologna, Italy, in September 1999. The 33 revised full papers presented were carefully reviewed and selected for inclusion in the book from a total of 64 congress submissions. The papers are organized in topical sections on knowledge representation; automated reasoning; temporal and qualitative reasoning; machine learning, data mining, and theory revision; natural language processing and web interfaces; multi-agent systems; perception and robotics; and planning and scheduling.

Truth in Mathematics

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Author: Harold G. Dales,Gianluigi Oliveri

Publisher: Oxford University Press

ISBN: 9780198514763

Category: Mathematics

Page: 376

View: 6933

The nature of truth in mathematics is a problem which has exercised the minds of thinkers from at least the time of the ancient Greeks. This book is an overview of the most recent work undertaken in this subject, and is unique in being the result of interactions between researchers from both philosophy and mathematics. The articles are written by world leaders in their respective fields and are of interest to researchers in both disciplines.

Computational logic and proof theory

Third Kurt Gödel Colloquium, KGC'93, Brno, Czech Republic, August 1993 : proceedings

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Author: Georg Gottlob,Alexander Leitsch,Daniele Mundici,Kurt Gödel Society

Publisher: Springer

ISBN: N.A

Category: Computers

Page: 348

View: 3055

AI*IA 99:Advances in Artificial Intelligence

6th Congress of the Italian Association for Artificial Intelligence Bologna, Italy, September 14-17, 1999 Selected Papers

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Author: Evelina Lamma,Paolo Mello

Publisher: Springer

ISBN: N.A

Category: Artificial intelligence

Page: 392

View: 5934

This book constitutes the thoroughly refereed post-conference proceedings of the 6th Congress of the Italian Association for Artificial Intelligence, AI*IA 99, held in Bologna, Italy, in September 1999. The 33 revised full papers presented were carefully reviewed and selected for inclusion in the book from a total of 64 congress submissions. The papers are organized in topical sections on knowledge representation; automated reasoning; temporal and qualitative reasoning; machine learning, data mining, and theory revision; natural language processing and web interfaces; multi-agent systems; perception and robotics; and planning and scheduling.

Introduction to Mathematical Logic, Sixth Edition

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Author: Elliott Mendelson

Publisher: CRC Press

ISBN: 1482237784

Category: Mathematics

Page: 513

View: 9420

The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of Gödel, Church, Kleene, Rosser, and Turing. The sixth edition incorporates recent work on Gödel’s second incompleteness theorem as well as restoring an appendix on consistency proofs for first-order arithmetic. This appendix last appeared in the first edition. It is offered in the new edition for historical considerations. The text also offers historical perspectives and many new exercises of varying difficulty, which motivate and lead students to an in-depth, practical understanding of the material.

Discrete Mathematics with Applications

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Author: Susanna S. Epp

Publisher: Cengage Learning

ISBN: 0495391328

Category: Mathematics

Page: 984

View: 8319

Susanna Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, FOURTH EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography, and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. Overall, Epp's emphasis on reasoning provides students with a strong foundation for computer science and upper-level mathematics courses. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Harmonic Analysis

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Author: Henry Helson

Publisher: Springer

ISBN: 9386279479

Category: Mathematics

Page: 236

View: 2693

This second edition has been enlarged and considerably rewritten. Among the new topics are infinite product spaces with applications to probability, disintegration of measures on product spaces, positive definite functions on the line, and additional information about Weyl's theorems on equidistribution. Topics that have continued from the first edition include Minkowski's theorem, measures with bounded powers, idempotent measures, spectral sets of bounded functions and a theorem of Szego, and the Wiener Tauberian theorem. Readers of the book should have studied the Lebesgue integral, the elementary theory of analytic and harmonic functions, and the basic theory of Banach spaces. The treatment is classical and as simple as possible. This is an instructional book, not a treatise. Mathematics students interested in analysis will find here what they need to know about Fourier analysis. Physicists and others can use the book as a reference for more advanced topics.

Turing Computability

Theory and Applications

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Author: Robert I. Soare

Publisher: Springer

ISBN: 3642319335

Category: Computers

Page: 263

View: 3073

Turing's famous 1936 paper introduced a formal definition of a computing machine, a Turing machine. This model led to both the development of actual computers and to computability theory, the study of what machines can and cannot compute. This book presents classical computability theory from Turing and Post to current results and methods, and their use in studying the information content of algebraic structures, models, and their relation to Peano arithmetic. The author presents the subject as an art to be practiced, and an art in the aesthetic sense of inherent beauty which all mathematicians recognize in their subject. Part I gives a thorough development of the foundations of computability, from the definition of Turing machines up to finite injury priority arguments. Key topics include relative computability, and computably enumerable sets, those which can be effectively listed but not necessarily effectively decided, such as the theorems of Peano arithmetic. Part II includes the study of computably open and closed sets of reals and basis and nonbasis theorems for effectively closed sets. Part III covers minimal Turing degrees. Part IV is an introduction to games and their use in proving theorems. Finally, Part V offers a short history of computability theory. The author has honed the content over decades according to feedback from students, lecturers, and researchers around the world. Most chapters include exercises, and the material is carefully structured according to importance and difficulty. The book is suitable for advanced undergraduate and graduate students in computer science and mathematics and researchers engaged with computability and mathematical logic.

Inside PixInsight

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Author: Warren A. Keller

Publisher: Springer

ISBN: 3319256823

Category: Science

Page: 380

View: 1408

In this book, Warren Keller reveals the secrets of astro-image processing software PixInsight in a practical and easy to follow manner, allowing the reader to produce stunning astrophotographs from even mediocre data. As the first comprehensive post-processing platform to be created by astro-imagers for astro-imagers, it has for many, replaced the generic graphics editors as the software of choice. With clear instructions from Keller, astrophotographers can get the most from its tools to create amazing images. Capable of complex post-processing routines, PixInsight is also an advanced pre-processing software, through which astrophotographers calibrate and stack their exposures into completed master files. Although it is extremely powerful, PixInsight has been inadequately documented in print--until now. With screenshots to help illustrate the process, it is a vital guide.

Introduction to the Theory of Computation

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Author: Michael Sipser

Publisher: Cengage Learning

ISBN: 1285401069

Category: Computers

Page: 504

View: 8396

Now you can clearly present even the most complex computational theory topics to your students with Sipser's distinct, market-leading INTRODUCTION TO THE THEORY OF COMPUTATION, 3E. The number one choice for today's computational theory course, this highly anticipated revision retains the unmatched clarity and thorough coverage that make it a leading text for upper-level undergraduate and introductory graduate students. This edition continues author Michael Sipser's well-known, approachable style with timely revisions, additional exercises, and more memorable examples in key areas. A new first-of-its-kind theoretical treatment of deterministic context-free languages is ideal for a better understanding of parsing and LR(k) grammars. This edition's refined presentation ensures a trusted accuracy and clarity that make the challenging study of computational theory accessible and intuitive to students while maintaining the subject's rigor and formalism. Readers gain a solid understanding of the fundamental mathematical properties of computer hardware, software, and applications with a blend of practical and philosophical coverage and mathematical treatments, including advanced theorems and proofs. INTRODUCTION TO THE THEORY OF COMPUTATION, 3E's comprehensive coverage makes this an ideal ongoing reference tool for those studying theoretical computing. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Sets for Mathematics

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Author: F. William Lawvere,Robert Rosebrugh

Publisher: Cambridge University Press

ISBN: 9780521010603

Category: Mathematics

Page: 261

View: 6670

In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.

Concepts of Chemical Dependency

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Author: Harold E. Doweiko

Publisher: Cengage Learning

ISBN: 1305177401

Category: Psychology

Page: 736

View: 8886

CONCEPTS OF CHEMICAL DEPENDENCY, Ninth Edition, provides comprehensive coverage and the latest information on a full spectrum of substance use disorders and the compounds commonly abused. Topics include the abuse of and addiction to alcohol; how the active agent in marijuana, THC, affects neural growth and development; the emerging body of evidence suggesting a relationship between marijuana abuse and psychotic disorders; the emerging body of evidence suggesting that marijuana is not as benign as it was thought to be a few years ago; and the abuse of cough syrups. Adding to the book's usefulness and relevance, Doweiko also covers topics not usually discussed in other substance abuse texts, including abuse of anabolic steroids, inhalants, infectious diseases associated with substance abuse, how the “war on drugs” has actually contributed to the problem of substance abuse/addiction in this country, and the “medical marijuana” debate. This edition includes new information on synthetic marijuana, mephredone, and dextromethorphan, among other substances; updates reflecting the new DSM-5; and a new chapter on the Biopsychosocial Model of Addiction. Students report that they appreciate the author's balanced approach, which allows them to form their own opinions, in contrast to some books that “preach” that “drugs are bad for you.” Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Modeling the Supply Chain

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Author: Jeremy Shapiro

Publisher: Cengage Learning

ISBN: 0495126098

Category: Business & Economics

Page: 618

View: 8436

With an emphasis on modeling techniques, Jeremy Shapiro’s MODELING THE SUPPLY CHAIN is the perfect tool for courses in supply chain management or for professional managers who seek better analytical tools for managing their supply chains, information technologists who are responsible for developing and/or maintaining such tools, and consultants who conduct supply chain studies using models. Shapiro examines in detail the roles of data, models, and modeling systems in helping companies improve the management of their supply chains. The focus is on optimization models based on linear and mixed integer programming. The complementary role played by descriptive models in developing data inputs for optimization models is thoroughly reviewed. Using numerous applications, Shapiro clearly illustrates that when properly implemented, these methodologies can create accurate and comprehensive models of great practical value. The book also shows how competitive advantage in supply chain management can be most fully realized by developing and applying optimization modeling systems. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Research Methods for Social Work

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Author: Allen Rubin,Earl Babbie

Publisher: Cengage Learning

ISBN: 0495811718

Category: Social Science

Page: 672

View: 2574

Widely considered the best text for the course, RESEARCH METHODS FOR SOCIAL WORK, Seventh Edition strikes an optimal balance of quantitative and qualitative research techniques--illustrating how the two methods complement one another. Allen Rubin and Earl R. Babbie’s classic bestseller is acclaimed for its depth and breadth of coverage as well as the authors’ clear and often humorous writing style. Combining a rigorous and comprehensive presentation of all aspects of the research endeavor with a thoroughly reader-friendly approach helps students overcome the fear-factor often associated with this course. Relevant examples from real-world settings consistently help students see the connections between research and social work practice. In response to the move toward teaching evidence-based practice throughout the curriculum, the new edition also enhances coverage of evidence-based practice as well as keeps the text in line with other accreditation requirements based on the recently revised EPAS guidelines. Comprehensive, friendly, accurate, and integrating the best of technology, RESEARCH METHODS FOR SOCIAL WORK, 7e is an excellent text that can be used across undergraduate, graduate, and doctorate levels of study. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.