Logics of temporal-epistemic actions

Synthese 193 (3):813-849 (2016)
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Abstract

We present Dynamic Epistemic Temporal Logic, a framework for reasoning about operations on multi-agent Kripke models that contain a designated temporal relation. These operations are natural extensions of the well-known “action models” from Dynamic Epistemic Logic. Our “temporal action models” may be used to define a number of informational actions that can modify the “objective” temporal structure of a model along with the agents’ basic and higher-order knowledge and beliefs about this structure, including their beliefs about the time. In essence, this approach provides one way to extend the domain of action model-style operations from atemporal Kripke models to temporal Kripke models in a manner that allows actions to control the flow of time. We present a number of examples to illustrate the subtleties involved in interpreting the effects of our extended action models on temporal Kripke models. We also study preservation of important epistemic-temporal properties of temporal Kripke models under temporal action model-induced operations, provide complete axiomatizations for two theories of temporal action models, and connect our approach with previous work on time in DEL

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Audrey Yap
University of Victoria

Citations of this work

Before announcement.Philippe Balbiani, Hans van Ditmarsch & Andreas Herzig - 2016 - In Lev Beklemishev, Stéphane Demri & András Máté (eds.), Advances in Modal Logic, Volume 11. CSLI Publications. pp. 58-77.
Reverse Public Announcement Operators on Expanded Models.Ryuichi Sebastian Haney - 2018 - Journal of Logic, Language and Information 27 (3):205-224.
A History Based Logic for Dynamic Preference Updates.Can Başkent & Guy McCusker - 2020 - Journal of Logic, Language and Information 29 (3):275-305.

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References found in this work

Modal Logic: Graph. Darst.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - New York: Cambridge University Press. Edited by Maarten de Rijke & Yde Venema.
Modal Logic.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - Studia Logica 76 (1):142-148.
Dynamic Epistemic Logic.Hans van Ditmarsch, and, Wiebe van der Hoek & Barteld Kooi - 2016 - Internet Encyclopedia of Philosophy.

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