Synthese 139 (2):241 - 280 (2004)
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 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.
|Keywords||Philosophy Philosophy Epistemology Logic Metaphysics Philosophy of Language|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
Constructive Knowledge: What Agents Can Achieve Under Imperfect Information.Wojciech Jamroga & Thomas Ågotnes - 2007 - Journal of Applied Non-Classical Logics 17 (4):423-475.
A Sat-Based Approach to Unbounded Model Checking for Alternating-Time Temporal Epistemic Logic.M. Kacprzak & W. Penczek - 2004 - Synthese 142 (2):203-227.
On the Use of Logic in Game Theory.Eric Pacuit - 2015 - Journal of Philosophical Logic 44 (6):741-753.
An Alternating-Time Temporal Logic with Knowledge, Perfect Recall and Past: Axiomatisation and Model-Checking.Dimitar P. Guelev, Catalin Dima & Constantin Enea - 2011 - Journal of Applied Non-Classical Logics 21 (1):93-131.
Temporal Logics of Agency.Johan van Benthem & Eric Pacuit - 2010 - Journal of Logic, Language and Information 19 (4):389-393.
Similar books and articles
Social Laws in Alternating Time: Effectiveness, Feasibility, and Synthesis.Wiebe van Der Hoek, Mark Roberts & Michael Wooldridge - 2007 - Synthese 156 (1):1-19.
Logics for Epistemic Programs.Alexandru Baltag & Lawrence S. Moss - 2004 - Synthese 139 (2):165 - 224.
Social Laws in Alternating Time: Effectiveness, Feasibility, and Synthesis.Wiebe van der Hoek, Mark Roberts & Michael Wooldridge - 2007 - Synthese 156 (1):1-19.
A Dynamic Logic of Agency I: Stit, Capabilities and Powers. [REVIEW]Andreas Herzig & Emiliano Lorini - 2010 - Journal of Logic, Language and Information 19 (1):89-121.
Cooperation, Knowledge, and Time: Alternating-Time Temporal Epistemic Logic and Its Applications.Wiebe van Der Hoek & Michael Wooldridge - 2003 - Studia Logica 75 (1):125-157.
Cooperation, Knowledge, and Time: Alternating-Time Temporal Epistemic Logic and its Applications.van der Hoek Wiebe & Wooldridge Michael - 2003 - Studia Logica 75 (1):125-157.
Added to index2009-01-28
Total downloads46 ( #110,444 of 2,153,783 )
Recent downloads (6 months)13 ( #40,212 of 2,153,783 )
How can I increase my downloads?