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Epistemic Logic for AI and Computer Science
     

Epistemic Logic for AI and Computer Science

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

Overview

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.

Editorial Reviews

From the Publisher
'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.' Phinews

' … a very detailed coverage … that is well written, well reasoned, and a useful reference to have on the shelf.' R. J. Bradford, Axis

Product Details

ISBN-13:
9780521460149
Publisher:
Cambridge University Press
Publication date:
11/24/1995
Series:
Cambridge Tracts in Theoretical Computer Science Series , #41
Pages:
368
Product dimensions:
6.85(w) x 9.72(h) x 0.87(d)

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