Automated Deduction in Equational Logic and Cubic Curves

Automated Deduction in Equational Logic and Cubic Curves
Author: William McCune
Publisher: Springer Science & Business Media
Total Pages: 248
Release: 1996-06-12
Genre: Computers
ISBN: 9783540613985

This monograph is the result of the cooperation of a mathematician working in universal algebra and geometry, and a computer scientist working in automated deduction, who succeeded in employing the theorem prover Otter for proving first order theorems from mathematics and then intensified their joint effort. Mathematicians will find many new results from equational logic, universal algebra, and algebraic geometry and benefit from the state-of-the-art outline of the capabilities of automated deduction techniques. Computer scientists will find a large and varied source of theorems and problems that will be useful in designing and evaluation automated theorem proving systems and strategies.

Automated Reasoning and Mathematics

Automated Reasoning and Mathematics
Author: Maria Paola Bonacina
Publisher: Springer
Total Pages: 276
Release: 2013-02-28
Genre: Computers
ISBN: 3642366759

This Festschrift volume is published in memory of William W. McCune who passed away in 2011. William W. McCune was an accomplished computer scientist all around but especially a fantastic system builder and software engineer. The volume includes 13 full papers, which are presenting research in all aspects of automated reasoning and its applications to mathematics. These papers have been thoroughly reviewed and selected out of 15 submissions received in response to the call for paper issued in September 2011. The topics covered are: strategies, indexing, superposition-based theorem proving, model building, application of automated reasoning to mathematics, as well as to program verification, data mining, and computer formalized mathematics.

Automated Reasoning and Its Applications

Automated Reasoning and Its Applications
Author: Robert Veroff
Publisher: MIT Press
Total Pages: 276
Release: 1997
Genre: Computers
ISBN: 9780262220552

The contributors are among the world's leading researchers inautomated reasoning. Their essays cover the theory, software system design, and use of these systems to solve real problems. The primary objective of automated reasoning (which includes automated deduction and automated theorem proving) is to develop computer programs that use logical reasoning for the solution of a wide variety of problems, including open questions. The essays in Automated Reasoning and Its Applications were written in honor of Larry Wos, one of the founders of the field. Wos played a central role in forming the culture of automated reasoning at Argonne National Laboratory. He and his colleagues consistently seek to build systems that search huge spaces for solutions to difficult problems and proofs of significant theorems. They have had numerous notable successes. The contributors are among the world's leading researchers in automated reasoning. Their essays cover the theory, software system design, and use of these systems to solve real problems. Contributors Robert S. Boyer, Shang-Ching Chou, Xiao-Shan Gao, Lawrence Henschen, Deepak Kapur, Kenneth Kunen, Ewing Lusk, William McCune, J Strother Moore, Ross Overbeek, Lawrence C. Paulson, Hantao Zhang, Jing-Zhong Zhang

Automated Deduction - CADE-14

Automated Deduction - CADE-14
Author: William McCune
Publisher: Springer
Total Pages: 469
Release: 2006-04-11
Genre: Computers
ISBN: 3540691405

This book constitutes the strictly refereed proceedings of the 14th International Conference on Automated Deduction, CADE-14, held in Townsville, North Queensland, Australia, in July 1997. The volume presents 25 revised full papers selected from a total of 87 submissions; also included are 17 system descriptions and two invited contributions. The papers cover a wide range of current issues in the area including resolution, term rewriting, unification theory, induction, high-order logics, nonstandard logics, AI methods, and applications to software verification, geometry, and social science.

Handbook of Practical Logic and Automated Reasoning

Handbook of Practical Logic and Automated Reasoning
Author: John Harrison
Publisher: Cambridge University Press
Total Pages: 703
Release: 2009-03-12
Genre: Computers
ISBN: 0521899575

A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.

Featured Reviews in Mathematical Reviews 1997-1999

Featured Reviews in Mathematical Reviews 1997-1999
Author: Donald G. Babbitt
Publisher: American Mathematical Soc.
Total Pages: 762
Release: 2000-05-05
Genre: Mathematics
ISBN: 9780821896709

This second volume of Featured Reviews makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: Homological Algebra by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; Faisceaux algebriques coherents by Jean-Pierre Serre, reviewed by C. Chevalley; and On the Theory of General Partial Differential Operators by Lars Hormander, reviewed by J. L. Lions. In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.

Automated Deduction - Cade-13

Automated Deduction - Cade-13
Author: Michael A. McRobbie
Publisher: Springer Science & Business Media
Total Pages: 790
Release: 1996-07
Genre: Computers
ISBN: 9783540615118

This book constitutes the refereed proceedings of the 13th International Conference on Automated Deduction, CADE-13, held in July/August 1996 in New Brunswick, NJ, USA, as part of FLoC '96. The volume presents 46 revised regular papers selected from a total of 114 submissions in this category; also included are 15 selected system descriptions and abstracts of two invited talks. The CADE conferences are the major forum for the presentation of new results in all aspects of automated deduction. Therefore, the volume is a timely report on the state-of-the-art in the area.

Fascinating Country In The World Of Computing, A: Your Guide To Automated Reasoning

Fascinating Country In The World Of Computing, A: Your Guide To Automated Reasoning
Author: Gail W Pieper
Publisher: World Scientific
Total Pages: 609
Release: 1999-11-30
Genre: Computers
ISBN: 981449464X

This book shows you — through examples and puzzles and intriguing questions — how to make your computer reason logically. To help you, the book includes a CD-ROM with OTTER, the world's most powerful general-purpose reasoning program. The automation of reasoning has advanced markedly in the past few decades, and this book discusses some of the remarkable successes that automated reasoning programs have had in tackling challenging problems in mathematics, logic, program verification, and circuit design. Because the intended audience includes students and teachers, the book provides many exercises (with hints and also answers), as well as tutorial chapters that gently introduce readers to the field of logic and to automated reasoning in general. For more advanced researchers, the book presents challenging questions, many of which are still unsolved.