Epistemic logic for AI and computer science

書誌事項

Epistemic logic for AI and computer science

J.-J. Ch. Meyer, W. van der Hoek

(Cambridge tracts in theoretical computer science, 41)

Cambridge University Press, c1995, 2004

  • : pbk

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注記

Includes bibliographical references (p. 331-346) and index

"First paperback edition 2004"--T.p. verso

内容説明・目次

内容説明

Epistemic logic has grown from its philosophical beginnings to find diverse applications in computer science as a means of reasoning about the knowledge and belief of agents. This book, based on courses taught at universities and summer schools, provides a broad introduction to the subject; many exercises are included together with their solutions. The authors begin by presenting the necessary apparatus from mathematics and logic, including Kripke semantics and the well-known modal logics K, T, S4 and S5. Then they turn to applications in the contexts of distributed systems and artificial intelligence: topics that are addressed include the notions of common knowledge, distributed knowledge, explicit and implicit belief, the interplays between knowledge and time, and knowledge and action, as well as a graded (or numerical) variant of the epistemic operators. The problem of logical omniscience is also discussed extensively. Halpern and Moses' theory of honest formulae is covered, and a digression is made into the realm of non-monotonic reasoning and preferential entailment. Moore's autoepistemic logic is discussed, together with Levesque's related logic of 'all I know'. Furthermore, it is shown how one can base default and counterfactual reasoning on epistemic logic.

目次

  • Preface
  • 1. Introduction
  • 2. Basics: the modal approach to knowledge
  • 3. Various notions of knowledge and belief
  • 4. Knowledge and ignorance
  • 5. Default reasoning by epistemic logic
  • References
  • Appendices
  • Answers to exercises
  • Index.

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