TY  - DATA
AU  - Meyer, J. J.
AU  - Hoek, W. van der.
TI  - Epistemic Logic for AI and Computer Science
SN  - 9780511569852
U1  - 006.33 
PY  - 1995///
CY  - Cambridge
PB  - : Cambridge University Press
KW  - Algorithmics
KW  - Mathematics
KW  - Programming Languages
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511569852
ER  -