An Introduction to Default Logic

An Introduction to Default Logic

Author: Philippe Besnard

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 221

ISBN-13: 3662056895

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This book is written for those who are interested in a fonnalization of human reasoning, especially in order to build "intelligent" computer systems. Thus, it is mainly designed for the Artificial Intelligence community, both students and researchers, although it can be useful for people working in related fields like cognitive psychology. The major theme is not Artificial Intelligence applications, although these are discussed throughout in sketch fonn. Rather, the book places a heavy emphasis on the fonnal development of default logic, results and problems. Default logic provides a fonnalism for an important part of human reasoning. Default logic is specifically concerned with common sense reasoning, which has recently been recognized in the Artificial Intelligence literature to be of fundamental importance for knowledge representation. Previously, fonnalized reasoning systems failed in real world environments, though succeeding with an acceptable ratio in well-defined environments. This situation enabled empirical explorations and the design of systems without theoretical justification. In particular, they could not be compared since there was no basis to judge their respective merits. Default logic turned out to be very fruitful by proving the correctness of some of them. We hope that this book will initiate other successful developments in default logic.


An Introduction to Mathematical Logic

An Introduction to Mathematical Logic

Author: Richard E. Hodel

Publisher: Courier Corporation

Published: 2013-01-01

Total Pages: 514

ISBN-13: 0486497852

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This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.


An Introduction to Formal Logic

An Introduction to Formal Logic

Author: Peter Smith

Publisher: Cambridge University Press

Published: 2003-11-06

Total Pages: 370

ISBN-13: 9780521008044

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Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.


Nonmonotonic Reasoning

Nonmonotonic Reasoning

Author: Grigoris Antoniou

Publisher: MIT Press

Published: 1997

Total Pages: 310

ISBN-13: 9780262011570

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Nonmonotonic reasoning provides formal methods that enable intelligent systems to operate adequately when faced with incomplete or changing information. In particular, it provides rigorous mechanisms for taking back conclusions that, in the presence of new information, turn out to be wrong and for deriving new, alternative conclusions instead. Nonmonotonic reasoning methods provide rigor similar to that of classical reasoning; they form a base for validation and verification and therefore increase confidence in intelligent systems that work with incomplete and changing information. Following a brief introduction to the concepts of predicate logic that are needed in the subsequent chapters, this book presents an in depth treatment of default logic. Other subjects covered include the major approaches of autoepistemic logic and circumscription, belief revision and its relationship to nonmonotonic inference, and briefly, the stable and well-founded semantics of logic programs.


Reasons as Defaults

Reasons as Defaults

Author: John F. Horty

Publisher: OUP USA

Published: 2012-04-25

Total Pages: 276

ISBN-13: 0199744076

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In this volume, John Horty brings to bear his work in logic to present a framework that allows for answers to key questions about reasons and reasoning, namely: What are reasons, and how do they support actions or conclusions?


Simply Logical

Simply Logical

Author: Peter Flach

Publisher: Wiley

Published: 1994-04-07

Total Pages: 256

ISBN-13: 9780471942153

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An introduction to Prolog programming for artificial intelligence covering both basic and advanced AI material. A unique advantage to this work is the combination of AI, Prolog and Logic. Each technique is accompanied by a program implementing it. Seeks to simplify the basic concepts of logic programming. Contains exercises and authentic examples to help facilitate the understanding of difficult concepts.


A Friendly Introduction to Mathematical Logic

A Friendly Introduction to Mathematical Logic

Author: Christopher C. Leary

Publisher: Lulu.com

Published: 2015

Total Pages: 382

ISBN-13: 1942341075

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At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.


The Snake and the Fox

The Snake and the Fox

Author: Mary Haight

Publisher: Routledge

Published: 2003-09-01

Total Pages: 508

ISBN-13: 113682359X

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The Snake and the Fox is a highly imaginative and fun way to learn logic. Mary Haight's characters guide you through an elaborate tale of how logic works. This book features the Snake and the Fox, Granny, Gussie and the Newts, Ren^De Descartes and Miss Nightingale, along with a huge supporting cast of humans, devils and sausage machines. For anyone coming to logic for the first time, this is the best place to start. Mary Haight makes logic easy and fun - she asks the reader questions, and uses words instead of logic symbols with amusing pictures and characters to help them. This book teaches all the basics the reader needs to know about logic (how arguments work, sound, valid reasoning, truth tables, Venn diagrams etc) in a truly enjoyable and innovative way. Anyone teaching themselves logic, or learning it on a course is bound to benefit fromthis original and intriguing book.