LILaC - paper abstract


Broersen, Jan and Herzig, Andreas and Troquard, Nicolas

What groups do, can do, and know they can do: an analysis in normal modal logics


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Bibtex-entry:


@Article{BroersenHerzigTroquard-Jancl09,
author = {Broersen, Jan and Herzig, Andreas and Troquard, Nicolas},
title = "{What groups do, can do, and know they can do: an analysis in normal modal logics}",
journal = {Journal of Applied Non-Classical Logics},
publisher = {Hermès Lavoisier},
year = {2009},
volume = {19},
number = {3},
pages    = {261--289},
URL = {https://www.irit.fr/PERSONNEL/LILaC/Herzig/P/Jancl09.html},
keywords = {RICL, action, agency, STIT theory, coalition logic},
abstract = {We investigate a series of logics that allow to reason about agents' actions, abilities, and their knowledge about actions and abilities. These logics include Pauly's Coalition Logic CL, Alternating-time Temporal Logic ATL, the logic of `seeing-to-it-that' (STIT), and epistemic extensions thereof. While complete axiomatizations of CL and ATL exist, only the fragment of the STIT language without temporal operators and without groups has been axiomatized by Xu (called Ldm). We start by recalling a simplification of the Ldm that has been proposed in previous work, together with an alternative semantics in terms of standard Kripke models. We extend that semantics to groups via a principle of superadditivity, and give a sound and complete axiomatization that we call LdmG. We then add a temporal `next' operator to LdmG, and again give a sound and complete axiomatization. We show that LdmG subsumes coalition logic CL. Finally, we extend these logics with standard S5 knowledge operators. This enables us to express that agents see to something under uncertainty about the present state or uncertainty about which action is being taken. We focus on the epistemic extension of XLdmG, noted EXLdmG. In accordance with established terminology in the planning community, we call this extension of XLdmG the conformant XLdmG. The conformant XLdmG enables us to express that agents are able to perform a uniform strategy. We conclude that in that respect, our epistemic extension of XLdmG is better suited than epistemic extensions of ATL.}
}

							

https://www.irit.fr/~Andreas.Herzig