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Logics of temporal-epistemic actions.

Authors :
Renne, Bryan
Sack, Joshua
Yap, Audrey
Source :
Synthese; Mar2016, Vol. 193 Issue 3, p813-849, 37p
Publication Year :
2016

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 (DEL). 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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00397857
Volume :
193
Issue :
3
Database :
Complementary Index
Journal :
Synthese
Publication Type :
Academic Journal
Accession number :
113040246
Full Text :
https://doi.org/10.1007/s11229-015-0773-6