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Logics of temporal-epistemic actions.
- 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