Alternative axiomatics and complexity of deliberative stit theories

Journal of Philosophical Logic 37 (4):387 - 406 (2008)
Abstract
We propose two alternatives to Xu’s axiomatization of Chellas’s STIT. The first one simplifies its presentation, and also provides an alternative axiomatization of the deliberative STIT. The second one starts from the idea that the historic necessity operator can be defined as an abbreviation of operators of agency, and can thus be eliminated from the logic of Chellas’s STIT. The second axiomatization also allows us to establish that the problem of deciding the satisfiability of a STIT formula without temporal operators is NP-complete in the single-agent case, and is NEXPTIME-complete in the multiagent case, both for the deliberative and Chellas’s STIT.
Keywords axiomatization  complexity  logic of agency  STIT
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DOI 10.1007/s10992-007-9078-7
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References found in this work BETA
Time and Modality in the Logic of Agency.Brian F. Chellas - 1992 - Studia Logica 51 (3-4):485 - 517.
Axioms for Deliberative Stit.Ming Xu - 1998 - Journal of Philosophical Logic 27 (5):505-552.

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Citations of this work BETA
Complexity Results of STIT Fragments.François Schwarzentruber - 2012 - Studia Logica 100 (5):1001-1045.
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.
Combinations of Stit and Actions.Ming Xu - 2010 - Journal of Logic, Language and Information 19 (4):485-503.
Actions as Events.Ming Xu - 2012 - Journal of Philosophical Logic 41 (4):765 - 809.

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On the Basic Logic of STIT with a Single Agent.Ming Xu - 1995 - Journal of Symbolic Logic 60 (2):459-483.
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