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The Automation of Reasoning with Incomplete Information

The Automation of Reasoning with Incomplete Information PDF Author: Torsten Schaub
Publisher: Springer Science & Business Media
ISBN: 9783540645153
Category : Computers
Languages : en
Pages : 180

Book Description
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.

Handbook of Practical Logic and Automated Reasoning

Handbook of Practical Logic and Automated Reasoning PDF Author: John Harrison
Publisher: Cambridge University Press
ISBN: 0521899575
Category : Computers
Languages : en
Pages : 703

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

The Automation of Reasoning with Incomplete Information

The Automation of Reasoning with Incomplete Information PDF Author: Torsten Schaub
Publisher: Springer Science & Business Media
ISBN: 9783540645153
Category : Computers
Languages : en
Pages : 180

Book Description
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.

Handbook of Automated Reasoning

Handbook of Automated Reasoning PDF Author: Alan J.A. Robinson
Publisher: Elsevier
ISBN: 9780444508126
Category : Computers
Languages : en
Pages : 1198

Book Description
Handbook of Automated Reasoning.

The Automation of Proof

The Automation of Proof PDF Author: Donald A. MacKenzie
Publisher:
ISBN:
Category : Automatic theorem proving
Languages : en
Pages : 60

Book Description


Automated Reasoning

Automated Reasoning PDF Author: Larry Wos
Publisher: McGraw-Hill Companies
ISBN:
Category : Artificial intelligence
Languages : en
Pages : 680

Book Description
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.

Automated Reasoning and the Discovery of Missing and Elegant Proofs

Automated Reasoning and the Discovery of Missing and Elegant Proofs PDF Author: Larry Wos
Publisher: Rinton PressInc
ISBN: 9781589490239
Category : Mathematics
Languages : en
Pages : 372

Book Description
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.

Automated Reasoning with Analytic Tableaux and Related Methods

Automated Reasoning with Analytic Tableaux and Related Methods PDF Author: Neil V. Murray
Publisher: Springer
ISBN: 3540487549
Category : Computers
Languages : en
Pages : 343

Book Description
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.

Automation of Reasoning

Automation of Reasoning PDF Author: Jörg H. Siekmann
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 664

Book Description


First-Order Logic and Automated Theorem Proving

First-Order Logic and Automated Theorem Proving PDF Author: Melvin Fitting
Publisher: Springer Science & Business Media
ISBN: 1468403575
Category : Mathematics
Languages : en
Pages : 258

Book Description
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.

The Automation of Reasoning

The Automation of Reasoning PDF Author: Larry Wos
Publisher: Academic Press
ISBN:
Category : Business & Economics
Languages : en
Pages : 456

Book Description
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.