Download or read book Handbook of Practical Logic and Automated Reasoning written by John Harrison and published by Cambridge University Press. This book was released on 2009-03-12 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.

Download or read book The Automation of Reasoning with Incomplete Information written by Torsten Schaub and published by Springer Science & Business Media. This book was released on 1997 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reasoning with incomplete information constitutes a major challenge for any intelligent system. In fact, we expect such systems not to become paralyzed by missing information but rather to arrive at plausible results by bridging the gaps in the information available. A versatile way of reasoning in the absence of information is to reason by default. This book aims at providing formal and practical means for automating reasoning with incomplete information by starting from the approach taken by the framework of default logic. For this endeavor, a bridge is spanned between formal semantics, over systems for default reasoning, to efficient implementation.

Download or read book Automated Reasoning written by Larry Wos and published by McGraw-Hill Companies. This book was released on 1992 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition explains what automated reasoning is and what it can do, and then demonstrates how to use it to solve complex problems with applications in logic circuit design, circuit validation, real-time system design, and expert systems.

Download or read book Handbook of Automated Reasoning written by Alan J.A. Robinson and published by Elsevier. This book was released on 2001-06-21 with total page 1198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Automated Reasoning.

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:

Download or read book Automated Reasoning with Analytic Tableaux and Related Methods written by Neil V. Murray and published by Springer. This book was released on 2003-07-31 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Conference on Analytic Tableaux and Related Methods, TABLEAUX'99, held in Saratoga Springs, NY, USA, in June 1999. The volume presents 18 revised full papers and three system descriptions selected from 41 submissions. Also included are system comparisons and abstracts of an invited paper and of two tutorials. All current issues surrounding mechanization of reasoning with tableaux and similar methods are addressed - ranging from theoretical foundations to implementation and systems development and applications, as well as covering a broad variety of logic calculi. As application areas, formal verification of software and computer systems, deductive databases, knowledge representation, and systems diagnosis are covered.

Download or read book Automated Reasoning and the Discovery of Missing and Elegant Proofs written by Larry Wos and published by Rinton PressInc. This book was released on 2003 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most appealing - and sometimes even stirring - is a well-constructed case showing that, without doubt, some given assertion holds. Typically, such a case is based on logical and flawless reasoning, on a sequence of steps that follow inevitably from the hypotheses used to deduce each. In other words, a proof is given establishing that the assertion under consideration indeed holds. Such proofs are clearly crucial to logic and to mathematics. Not so obvious, but true, proofs are crucial to circuit design, program writing, and, more generally, to various activities in which reasoning plays a vital role. Indeed, most desirable is the case in which no doubt exists regarding the absence of flaws in the design of a chip, in the structure of a computer program, in the argument on which an important decision is based. Such careful reasoning is even the key factor in games that include chess and poker. This book features one example after another of flawless logical reasoning the context is that of finding proofs absent from the literature. The means for finding the missing proofs is reliance on a single computer program, William McCune's automated reasoning program OTTER. One motivating force for writing this book is to interest others in automated reasoning, logic and mathematics. As the text strongly indicates, we delight in using OTTER equally in two quite distinct activities: finding a proof where none is offered by the literature, and finding a proof far more appealing than any the literature provides. We believe that the challenge offered by the type of problem featured in this book can be as engrossing as solving puzzles and playing various games that appeal to the mind. Indeed,sometimes, inexpressible is the excitement engendered when seeking a proof with fewer steps than was found by one of the great minds of the twentieth century. A second motivating force resets with our obvious enjoyment of the type of research featured in this book. Like the fancier of fine wines, we continually seek new open questions to attack, whether (at one end of the spectrum) they concern the settling of a conjecture or (at the other end) the focus is on proof betterment. We encourage readers to send us additional open questions and challenging problems. Another factor that motivated us was our wish to collect in a single volume a surprisingly large number of proofs, most of which were previously absent from the literature. In some cases, no proof was offered of any type; in some cases, the proof that was offered was far from axiomatic. None of the proofs rely on induction, or on metal argument, or on higher-order logic. In one sense, the book can serve as an encyclopedia of proofs -- many new and many improved - a work that sometimes extends, sometimes replaces, and sometimes supplements the research of more than a century. These proofs offer the implicit challenge of finding others that are further improvements. In a rather different sense, the book may serve as the key to eventually answering one open question after another, whether the context is logic, mathematics, design, synthesis, or some other area relying on sound reasoning. In that regards, we include in details numerous diverse methodologies are themselves intriguing. For an example, one methodology asks for two independent paths that lead to success and, rather than emphasizing what is common to both (theirintersection), instead heavily focuses on what is not shared (their symmetric difference). Although the emphasis here is on their use in the context of logic and mathematics, we conjecture that the methodologies we offer will prove most useful in a far wider context. We also suspect that, especially for those who enjoy solving puzzles and unraveling the mysteries of sciences, the nature of the methodologies will provide substantial stimulation. This volume introduce some readers to the excitement of discovering new results, increase the intrigue of those already familiar with such excitement, and (for the expert) add to the arsenal of weapons for attacking deep questions and hard problems.

Download or read book Automation of Reasoning written by Jörg H. Siekmann and published by . This book was released on 1983 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Automation of Reasoning written by Larry Wos and published by Academic Press. This book was released on 1996-07-29 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some of the insights, judgements, opinions, and experiences gleaned from more than 30 years of research in automated reasoning. The style and organization are those of an experimenter's notebook, featuring both successes and failures resulting from numerous experiments with one of the world's most powerful software packages for automated reasoning, Bill McCune's OTTER.

Download or read book Logic Programming and Automated Reasoning written by Andrei Voronkov and published by Springer Science & Business Media. This book was released on 1992-07 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of LPAR '92, the international conference on logic programming and automated reasoning held in St. Petersburg in July 1992. The aim of the conference was to bring together researchers from the Russian and the international logic programming and theorem proving communities. The topics of interest covered by papers inthe volume include automated theorem proving, non-monotonic reasoning, applications of mathematical logic to computer science, deductive databases, implementation of declarative concepts, and programming in non-classical logics. LPAR '92 is the successor of the First and Second Russian Conferences on Logic Programming held in 1990 and 1991, respectively, the proceedings of which were publishedin LNAI Vol. 592.

Download or read book Automation of Reasoning written by Jörg H. Siekmann and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Automated Reasoning written by Larry Wos and published by Prentice Hall. This book was released on 1988 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses ways to contribute to the field of automated reasoning by solvving the proposed research problems and exploring new technologies such as parallel processing and logic programming.

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.

Download or read book Handbook of Automated Reasoning written by Alan J.A. Robinson and published by Elsevier. This book was released on 2001-06-22 with total page 997 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Automated Reasoning

Download or read book Mathematical Reasoning with Diagrams written by Mateja Jamnik and published by Stanford Univ Center for the Study. This book was released on 2001-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians at every level use diagrams to prove theorems. Mathematical Reasoning with Diagrams investigates the possibilities of mechanizing this sort of diagrammatic reasoning in a formal computer proof system, even offering a semi-automatic formal proof system—called Diamond—which allows users to prove arithmetical theorems using diagrams.

Download or read book Rippling Meta Level Guidance for Mathematical Reasoning written by Alan Bundy and published by Cambridge University Press. This book was released on 2005-06-30 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rippling is a radically new technique for the automation of mathematical reasoning. It is widely applicable whenever a goal is to be proved from one or more syntactically similar givens. It was originally developed for inductive proofs, where the goal was the induction conclusion and the givens were the induction hypotheses. It has proved to be applicable to a much wider class of tasks, from summing series via analysis to general equational reasoning. The application to induction has especially important practical implications in the building of dependable IT systems, and provides solutions to issues such as the problem of combinatorial explosion. Rippling is the first of many new search control techniques based on formula annotation; some additional annotated reasoning techniques are also described here. This systematic and comprehensive introduction to rippling, and to the wider subject of automated inductive theorem proving, will be welcomed by researchers and graduate students alike.

Download or read book Logic for Programming and Automated Reasoning written by Michel Parigot and published by Springer Science & Business Media. This book was released on 2000-10-23 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Logic for Programming and Automated Reasoning, LPAR 2000, held in Reunion Island, France in November 2000. The 26 revised full papers presented together with four invited contributions were carefully reviewed and selected from 65 submissions. The papers are organized in topical sections on nonmonotonic reasoning, descriptive complexity, specification and automatic proof-assistants, theorem proving, verification, logic programming and constraint logic programming, nonclassical logics and the lambda calculus, logic and databases, program analysis, mu-calculus, planning and reasoning about actions.