Abstract
We draw parallels between several closely related logics that combine –
in different proportions – elements of game theory, computation tree logics, and epistemic
logics to reason about agents and their abilities. These are: the coalition game logics CL and
ECL introduced by Pauly in 2000, the alternating-time temporal logic ATL developed by
Alur, Henzinger and Kupferman between 1997 and 2002, and the alternating-time temporal
epistemic logic ATEL by van der Hoek and Wooldridge (2002). In particular, we establish
some subsumption and equivalence results for their semantics, as well as interpretation of
the alternating-time temporal epistemic logic into ATL.
The focus in this paper is on models: alternating transition systems, multi-player game
models (alias concurrent game structures) and coalition effectivity models turn out to be
intimately related, while alternating epistemic transition systems share much of their philosophical
and formal apparatus. Our approach is constructive: we present ways to transform
between different types of models and languages.
Original language | Undefined |
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Article number | 10.1023/B:SYNT.0000024915.66183.d1 |
Pages (from-to) | 241-280 |
Number of pages | 40 |
Journal | Synthese |
Volume | 139 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2004 |
Keywords
- EWI-6600
- HMI-IA: Intelligent Agents
- IR-63343