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Automatic Theorem Proving With Equality Substitutions And Mathematical Induction
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Book Synopsis Automated Theorem Proving: A Logical Basis by : D.W. Loveland
Download or read book Automated Theorem Proving: A Logical Basis written by D.W. Loveland and published by Elsevier. This book was released on 2016-08-19 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automated Theorem Proving: A Logical Basis
Book Synopsis Symposium on Automatic Demonstration by : M. Laudet
Download or read book Symposium on Automatic Demonstration written by M. Laudet and published by Springer. This book was released on 2006-11-15 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Automated Theorem Proving: After 25 Years by : W. W. Bledsoe
Download or read book Automated Theorem Proving: After 25 Years written by W. W. Bledsoe and published by American Mathematical Soc.. This book was released on 1984 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Automation of Reasoning by : J. Siekmann
Download or read book Automation of Reasoning written by J. Siekmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Kind of crude, but it works, boy, it works!" AZan NeweZZ to Herb Simon, Christmas 1955 In 1954 a computer program produced what appears to be the first computer generated mathematical proof: Written by M. Davis at the Institute of Advanced Studies, USA, it proved a number theoretic theorem in Presburger Arithmetic. Christmas 1955 heralded a computer program which generated the first proofs of some propositions of Principia Mathematica, developed by A. Newell, J. Shaw, and H. Simon at RAND Corporation, USA. In Sweden, H. Prawitz, D. Prawitz, and N. Voghera produced the first general program for the full first order predicate calculus to prove mathematical theorems; their computer proofs were obtained around 1957 and 1958, about the same time that H. Gelernter finished a computer program to prove simple high school geometry theorems. Since the field of computational logic (or automated theorem proving) is emerging from the ivory tower of academic research into real world applications, asserting also a definite place in many university curricula, we feel the time has corne to examine and evaluate its history. The article by Martin Davis in the first of this series of volumes traces the most influential ideas back to the 'prehistory' of early logical thought showing how these ideas influenced the underlying concepts of most early automatic theorem proving programs.
Book Synopsis Handbook of Automated Reasoning by : Alan J.A. Robinson
Download or read book Handbook of Automated Reasoning written by Alan J.A. Robinson and published by Gulf Professional Publishing. This book was released on 2001-06-21 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Automated Reasoning.
Book Synopsis Foundations of Disjunctive Logic Programming by : Jorge Lobo
Download or read book Foundations of Disjunctive Logic Programming written by Jorge Lobo and published by MIT Press. This book was released on 1992 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Automated Mathematical Induction by : Hantao Zhang
Download or read book Automated Mathematical Induction written by Hantao Zhang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been shown how the common structure that defines a family of proofs can be expressed as a proof plan [5]. This common structure can be exploited in the search for particular proofs. A proof plan has two complementary components: a proof method and a proof tactic. By prescribing the structure of a proof at the level of primitive inferences, a tactic [11] provides the guarantee part of the proof. In contrast, a method provides a more declarative explanation of the proof by means of preconditions. Each method has associated effects. The execution of the effects simulates the application of the corresponding tactic. Theorem proving in the proof planning framework is a two-phase process: 1. Tactic construction is by a process of method composition: Given a goal, an applicable method is selected. The applicability of a method is determined by evaluating the method's preconditions. The method effects are then used to calculate subgoals. This process is applied recursively until no more subgoals remain. Because of the one-to-one correspondence between methods and tactics, the output from this process is a composite tactic tailored to the given goal. 2. Tactic execution generates a proof in the object-level logic. Note that no search is involved in the execution of the tactic. All the search is taken care of during the planning process. The real benefits of having separate planning and execution phases become appar ent when a proof attempt fails.
Book Synopsis Automated Deduction - CADE-16 by : Harald Ganzinger
Download or read book Automated Deduction - CADE-16 written by Harald Ganzinger and published by Springer. This book was released on 2003-07-31 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 16th International Conference on Automated Deduction, CADE-16, held in Trento, Italy in July 1999 as part of FLoC'99. The 21 revised full papers presented were carefully reviewed and selected from a total of 83 submissions. Also included are 15 system descriptions and two invited full papers. The book addresses all current issues in automated deduction and theorem proving, ranging from logical foundations to deduction systems design and evaluation.
Book Synopsis Annual Review in Automatic Programming by : Mark I. Halpern
Download or read book Annual Review in Automatic Programming written by Mark I. Halpern and published by Elsevier. This book was released on 2014-05-17 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Science and Technology and their Application is an eight-chapter book that first presents a tutorial on database organization. Subsequent chapters describe the general concepts of Simula 67 programming language; incremental compilation and conversational interpretation; dynamic syntax; the ALGOL 68. Other chapters discuss the general purpose conversational system for graphical programming and automatic theorem proving based on resolution. A survey of extensible programming language is also shown.
Book Synopsis Collected Works Of Larry Wos, The (In 2 Vols), Vol I: Exploring The Power Of Automated Reasoning; Vol Ii: Applying Automated Reasoning To Puzzles, Problems, And Open Questions by : Gail W Pieper
Download or read book Collected Works Of Larry Wos, The (In 2 Vols), Vol I: Exploring The Power Of Automated Reasoning; Vol Ii: Applying Automated Reasoning To Puzzles, Problems, And Open Questions written by Gail W Pieper and published by World Scientific. This book was released on 2000-01-21 with total page 1678 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automated reasoning programs are successfully tackling challenging problems in mathematics and logic, program verification, and circuit design. This two-volume book includes all the published papers of Dr Larry Wos, one of the world's pioneers in automated reasoning. It provides a wealth of information for students, teachers, researchers, and even historians of computer science about this rapidly growing field.The book has the following special features:(1) It presents the strategies introduced by Wos which have made automated reasoning a practical tool for solving challenging puzzles and deep problems in mathematics and logic;(2) It provides a history of the field — from its earliest stages as mechanical theorem proving to its broad base now as automated reasoning;(3) It illustrates some of the remarkable successes automated reasoning programs have had in tackling challenging problems in mathematics, logic, program verification, and circuit design;(4) It includes a CD-ROM, with a searchable index of all the papers, enabling readers to peruse the papers easily for ideas.
Download or read book IJCAI Proceedings 1979 written by Ijcai and published by Elsevier. This book was released on 1979 with total page 1196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theoretical Approaches to Non-Numerical Problem Solving by : R. B. Banerji
Download or read book Theoretical Approaches to Non-Numerical Problem Solving written by R. B. Banerji and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in computer technology have pointed out the next important area of computer applications: solution of non-numerical problems. It is hardly necessary to emphasize the importance of these kind of problems. First of all most of the decisions one has to make in real-life situations are non-numerical in the first instance and can be represented as numerical problems only as approximations which are often only partially valid. Second, to use the computer to its full potential it should be employed as a logical machine, capable of deduction, and not just as a numerical calculating machine. Thus the computer would extend man's capability for logical reasoning and not just for his capability to do fast and accurate calculation. It is not a new area; indeed non-numerical problems are central in fields such as artificial intelligence, heuristic programming, pattern recognition, classification and information-processing (and retrival) etc. However, it is fair to assess that progress in the area has not been quite as expected. One of the reasons was a lack of conceptual and theoretical framework in which to investigate different classes of non-numerical problems to improve understanding of various types of problems and methods for their solutions and furthermore to enable the methods which have been proven as effective in one situation to be used in another situation with appropriately similar structure.
Book Synopsis Introduction to Artificial Intelligence by : Philip C. Jackson
Download or read book Introduction to Artificial Intelligence written by Philip C. Jackson and published by Courier Dover Publications. This book was released on 2019-08-14 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can computers think? Can they use reason to develop their own concepts, solve complex problems, understand our languages? This updated edition of a comprehensive survey includes extensive new text on "Artificial Intelligence in the 21st Century," introducing deep neural networks, conceptual graphs, languages of thought, mental models, metacognition, economic prospects, and research toward human-level AI. Ideal for both lay readers and students of computer science, the original text features abundant illustrations, diagrams, and photographs as well as challenging exercises. Lucid, easy-to-read discussions examine problem-solving methods and representations, game playing, automated understanding of natural languages, heuristic search theory, robot systems, heuristic scene analysis, predicate-calculus theorem proving, automatic programming, and many other topics.
Book Synopsis Readings in Artificial Intelligence by : Bonnie Lynn Webber
Download or read book Readings in Artificial Intelligence written by Bonnie Lynn Webber and published by Morgan Kaufmann. This book was released on 2014-05-12 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readings in Artificial Intelligence focuses on the principles, methodologies, advancements, and approaches involved in artificial intelligence. The selection first elaborates on representations of problems of reasoning about actions, a problem similarity approach to devising heuristics, and optimal search strategies for speech understanding control. Discussions focus on comparison with existing speech understanding systems, empirical comparisons of the different strategies, analysis of distance function approximation, problem similarity, problems of reasoning about action, search for solution in the reduction system, and relationship between the initial search space and the higher level search space. The book then examines consistency in networks of relations, non-resolution theorem proving, using rewriting rules for connection graphs to prove theorems, and closed world data bases. The manuscript tackles a truth maintenance system, elements of a plan-based theory of speech acts, and reasoning about knowledge and action. Topics include problems in reasoning about knowledge, integration knowledge and action, models of plans, compositional adequacy, truth maintenance mechanisms, dialectical arguments, and assumptions and the problem of control. The selection is a valuable reference for researchers wanting to explore the field of artificial intelligence.
Book Synopsis Latest Advances In Inductive Logic Programming by : Stephen Muggleton
Download or read book Latest Advances In Inductive Logic Programming written by Stephen Muggleton and published by World Scientific. This book was released on 2014-10-30 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents a selection of papers presented at the Inductive Logic Programming (ILP) workshop held at Cumberland Lodge, Great Windsor Park. The collection marks two decades since the first ILP workshop in 1991. During this period the area has developed into the main forum for work on logic-based machine learning. The chapters cover a wide variety of topics, ranging from theory and ILP implementations to state-of-the-art applications in real-world domains. The international contributors represent leaders in the field from prestigious institutions in Europe, North America and Asia.Graduate students and researchers in this field will find this book highly useful as it provides an up-to-date insight into the key sub-areas of implementation and theory of ILP. For academics and researchers in the field of artificial intelligence and natural sciences, the book demonstrates how ILP is being used in areas as diverse as the learning of game strategies, robotics, natural language understanding, query search, drug design and protein modelling.
Book Synopsis Readings in Artificial Intelligence and Software Engineering by : Charles Rich
Download or read book Readings in Artificial Intelligence and Software Engineering written by Charles Rich and published by Morgan Kaufmann. This book was released on 2014-06-28 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readings in Artificial Intelligence and Software Engineering covers the main techniques and application of artificial intelligence and software engineering. The ultimate goal of artificial intelligence applied to software engineering is automatic programming. Automatic programming would allow a user to simply say what is wanted and have a program produced completely automatically. This book is organized into 11 parts encompassing 34 chapters that specifically tackle the topics of deductive synthesis, program transformations, program verification, and programming tutors. The opening parts provide an introduction to the key ideas to the deductive approach, namely the correspondence between theorems and specifications and between constructive proofs and programs. These parts also describes automatic theorem provers whose development has be designed for the programming domain. The subsequent parts present generalized program transformation systems, the problems involved in using natural language input, the features of very high level languages, and the advantages of the programming by example system. Other parts explore the intelligent assistant approach and the significance and relation of programming knowledge in other programming system. The concluding parts focus on the features of the domain knowledge system and the artificial intelligence programming. Software engineers and designers and computer programmers, as well as researchers in the field of artificial intelligence will find this book invaluable.
Author :Kurt-Gödel-Gesellschaft Publisher :Springer Science & Business Media ISBN 13 :370919394X Total Pages :128 pages Book Rating :4.7/5 (91 download)
Book Synopsis Collegium Logicum by : Kurt-Gödel-Gesellschaft
Download or read book Collegium Logicum written by Kurt-Gödel-Gesellschaft and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: P. Vihan: The Last Month of Gerhard Gentzen in Prague. - F.A. Rodríguez-Consuegra: Some Issues on Gödel’s Unpublished Philosophical Manuscripts. - D.D. Spalt: Vollständigkeit als Ziel historischer Explikation. Eine Fallstudie. - E. Engeler: Existenz und Negation in Mathematik und Logik. - W.J. Gutjahr: Paradoxien der Prognose und der Evaluation: Eine fixpunkttheoretische Analyse. - R. Hähnle: Automated Deduction and Integer Programming. - M. Baaz, A. Leitsch: Methods of Functional Extension.