The Logic of Knowledge Bases

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The idea of knowledge bases lies at the heart of symbolic, or "traditional,"artificial intelligence. A knowledge-based system decides how to act by running formal reasoning procedures over a body of explicitly represented knowledge—a knowledge base. The system is not programmed for specific tasks; rather, it is told what it needs to know and expected to infer the rest.This book is about the logic of such knowledge bases. It describes in detail the relationship between symbolic representations of knowledge and ...

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More About This Book

Overview

The idea of knowledge bases lies at the heart of symbolic, or "traditional,"artificial intelligence. A knowledge-based system decides how to act by running formal reasoning procedures over a body of explicitly represented knowledge—a knowledge base. The system is not programmed for specific tasks; rather, it is told what it needs to know and expected to infer the rest.This book is about the logic of such knowledge bases. It describes in detail the relationship between symbolic representations of knowledge and abstract states of knowledge, exploring along the way the foundations of knowledge, knowledge bases, knowledge-based systems, and knowledge representation and reasoning. Assuming some familiarity with first-order predicate logic, the book offers a new mathematical model of knowledge that is general and expressive yet more workable in practice than previous models. The book presents a style of semantic argument and formal analysis that would be cumbersome or completely impractical with other approaches. It also shows how to treat a knowledge base as an abstract data type, completely specified in an abstract way by the knowledge-level operations defined over it.

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Product Details

  • ISBN-13: 9780262122320
  • Publisher: MIT Press
  • Publication date: 2/15/2001
  • Pages: 282
  • Product dimensions: 7.00 (w) x 9.00 (h) x 0.75 (d)

Meet the Author

Hector J. Levesque is Professor of Computer Science at the University of Toronto. He is the coauthor (with Gerhard Lakemeyer) of The Logic of Knowledge Bases (MIT Press,2001) and coeditor (with Ronald J. Brachman) of Knowledge Representation andReasoning (MIT Press, 1992).

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Table of Contents

Preface
Acknowledgments
1 Introduction
2 A First-Order Logical Language
3 An Epistemic Logical Language
4 Logical Properties of Knowledge
5 The TELL and ASK Operations
6 Knowledge Bases as Representations of Epistemic States
7 The Representation Theorem
8 Only-Knowing
9 Only-Knowing and Autoepistemic Logic
10 On the Proof Theory of OL
11 Only-Knowing-About
12 Avoiding Logical Omniscience
13 The Logic EOL
14 Knowledge and Action
Epilogue
References
Index
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