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Author : Alan Bundy
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.:/5 (455 download)
Download or read book The Automation of Proof by Mathematical Induction written by Alan Bundy and published by . This book was released on 1998 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald A. MacKenzie
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.3/5 ( download)
Download or read book The Automation of Proof written by Donald A. MacKenzie and published by . This book was released on 1994 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hantao Zhang
Publisher : Springer Science & Business Media
ISBN 13 : 9400916752
Total Pages : 223 pages
Book Rating : 4.4/5 (9 download)
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.
Author : R. S. Boyer
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (897 download)
Download or read book Automation of Proof by Mathematical Induction written by R. S. Boyer and published by . This book was released on 1995 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert S. Boyer
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (634 download)
Download or read book Automation of Proof by Mathematical Induction written by Robert S. Boyer and published by . This book was released on 1995 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. W. Bledsoe
Publisher : American Mathematical Soc.
ISBN 13 : 082185027X
Total Pages : 372 pages
Book Rating : 4.8/5 (218 download)
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:
Author : Monty Newborn
Publisher : Springer Science & Business Media
ISBN 13 : 9780387950754
Total Pages : 250 pages
Book Rating : 4.9/5 (57 download)
Download or read book Automated Theorem Proving written by Monty Newborn and published by Springer Science & Business Media. This book was released on 2000-12-15 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text and software package introduces readers to automated theorem proving, while providing two approaches implemented as easy-to-use programs. These are semantic-tree theorem proving and resolution-refutation theorem proving. The early chapters introduce first-order predicate calculus, well-formed formulae, and their transformation to clauses. Then the author goes on to show how the two methods work and provides numerous examples for readers to try their hand at theorem-proving experiments. Each chapter comes with exercises designed to familiarise the readers with the ideas and with the software, and answers to many of the problems.
Author : Jean Goubault-Larrecq
Publisher : Springer Science & Business Media
ISBN 13 : 9781402003684
Total Pages : 448 pages
Book Rating : 4.0/5 (36 download)
Download or read book Proof Theory and Automated Deduction written by Jean Goubault-Larrecq and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in computer applications has led to a new attitude to applied logic in which researchers tailor a logic in the same way they define a computer language. In response to this attitude, this text for undergraduate and graduate students discusses major algorithmic methodologies, and tableaux and resolution methods. The authors focus on first-order logic, the use of proof theory, and the computer application of automated searches for proofs of mathematical propositions. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Wolfgang Bibel
Publisher : Springer Science & Business Media
ISBN 13 : 3322901025
Total Pages : 300 pages
Book Rating : 4.3/5 (229 download)
Download or read book Automated Theorem Proving written by Wolfgang Bibel and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since both the coments and the structure of the book appeared to be successful, only minor changes were made. In particular, some recent work in ATP has been incorporated so that the book continues to reflect the state of the art in the field. The most significant change is in the quality of the layout including the removal of a number of inaccuracies and typing errors. R. Caferra, E. Eder, F. van der Linden, and J. Muller have caught vanous minor errors. P. Haddawy and S.T. Pope have provided many stilistic improvements of the English text. Last not least, A. Bentrup and W. Fischer have produced the beautiful layout. The extensive work of typesetting was financally supported within ESPRIT pro ject 415. Munchen, September 1986 W. Bibel PREFACE Among the dreams of mankind is the one dealing with the mechanization of human thought. As the world today has become so complex that humans apparently fail to manage it properly with their intellectual gifts, the realization of this dream might be regarded even as something like a necessity. On the other hand, the incredi ble advances in computer technology let it appear as a real possibility.
Author : Melvin Fitting
Publisher : Springer Science & Business Media
ISBN 13 : 1468403575
Total Pages : 258 pages
Book Rating : 4.4/5 (684 download)
Download or read book First-Order Logic and Automated Theorem Proving written by Melvin Fitting and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many kinds of books on formal logic. Some have philosophers as their intended audience, some mathematicians, some computer scientists. Although there is a common core to all such books they will be very dif ferent in emphasis, methods, and even appearance. This book is intended for computer scientists. But even this is not precise. Within computer sci ence formal logic turns up in a number of areas, from program verification to logic programming to artificial intelligence. This book is intended for computer scientists interested in automated theorem proving in classical logic. To be more precise yet, it is essentially a theoretical treatment, not a how-to book, although how-to issues are not neglected. This does not mean, of course, that the book will be of no interest to philosophers or mathematicians. It does contain a thorough presentation of formal logic and many proof techniques, and as such it contains all the material one would expect to find in a course in formal logic covering completeness but not incompleteness issues. The first item to be addressed is, what are we talking about and why are we interested in it. We are primarily talking about truth as used in mathematical discourse, and our interest in it is, or should be, self-evident. Truth is a semantic concept, so we begin with models and their properties. These are used to define our subject.
Author : Robert S. Boyer (et al.)
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (475 download)
Download or read book Automation of Proof by Mathematical Induction written by Robert S. Boyer (et al.) and published by . This book was released on 1996 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Adel Bouhoula
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (254 download)
Download or read book Automated Mathematical Induction written by Adel Bouhoula and published by . This book was released on 1992 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Proofs by induction are important in many computer science and artificial intelligence applications, in particular, in program verification and specification systems. We present a new method to prove (and disprove) automatically inductive properties. Given a set of axioms, a well-suited induction scheme is constructed automatically. We call such an induction scheme a test set. Then, for proving a property, we just instantiate it with terms from the test set and apply pure algebraic simplification to the result. This method needs no completion and explicit induction. However it retains their positive features, namely, the completeness of the former and the robustness of the latter. It has been implemented in the theorem-prover SPIKE."
Author : David S. Gunderson
Publisher : Chapman & Hall/CRC
ISBN 13 : 9781138199019
Total Pages : 921 pages
Book Rating : 4.1/5 (99 download)
Download or read book Handbook of Mathematical Induction written by David S. Gunderson and published by Chapman & Hall/CRC. This book was released on 2016-11-16 with total page 921 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics. In the first part of the book, the author discusses different inductive techniques, including well-ordered sets, basic mathematical induction, strong induction, double induction, infinite descent, downward induction, and several variants. He then introduces ordinals and cardinals, transfinite induction, the axiom of choice, Zorn's lemma, empirical induction, and fallacies and induction. He also explains how to write inductive proofs. The next part contains more than 750 exercises that highlight the levels of difficulty of an inductive proof, the variety of inductive techniques available, and the scope of results provable by mathematical induction. Each self-contained chapter in this section includes the necessary definitions, theory, and notation and covers a range of theorems and problems, from fundamental to very specialized. The final part presents either solutions or hints to the exercises. Slightly longer than what is found in most texts, these solutions provide complete details for every step of the problem-solving process.
Author : D.W. Loveland
Publisher : Elsevier
ISBN 13 : 1483296776
Total Pages : 419 pages
Book Rating : 4.4/5 (832 download)
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
Author : Alan J.A. Robinson
Publisher : Gulf Professional Publishing
ISBN 13 : 9780444829498
Total Pages : 1004 pages
Book Rating : 4.8/5 (294 download)
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.
Author : Daniel W. Cunningham
Publisher : Springer Science & Business Media
ISBN 13 : 1461436311
Total Pages : 365 pages
Book Rating : 4.4/5 (614 download)
Download or read book A Logical Introduction to Proof written by Daniel W. Cunningham and published by Springer Science & Business Media. This book was released on 2012-09-19 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of presenting the relationships between the various parts of a proof. A proof diagram provides a tool for showing students how to write correct mathematical proofs.
Author : Monty Newborn
Publisher : Springer Science & Business Media
ISBN 13 : 1461300894
Total Pages : 244 pages
Book Rating : 4.4/5 (613 download)
Download or read book Automated Theorem Proving written by Monty Newborn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text and software package introduces readers to automated theorem proving, while providing two approaches implemented as easy-to-use programs. These are semantic-tree theorem proving and resolution-refutation theorem proving. The early chapters introduce first-order predicate calculus, well-formed formulae, and their transformation to clauses. Then the author goes on to show how the two methods work and provides numerous examples for readers to try their hand at theorem-proving experiments. Each chapter comes with exercises designed to familiarise the readers with the ideas and with the software, and answers to many of the problems.
