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A poor man's epistemic logic based on propositional assignment and higher-order observation
Abstract : We introduce a dynamic epistemic logic that is based on what an agent can observe, including joint observation and observation of what other agents observe. This generalizes van der Hoek, Wooldridge and colleague’s logics ECL-PC(PO) and LRC where it is common knowledge which propositional variables each agent observes. In our logic, facts of the world and their observability can both be modified by assignment programs. We show how epistemic operators can be interpreted in this framework and identify the conditions under which the principles of positive and negative introspection are valid. We also provide a sound and complete axiomatization and prove that the satisfiability problem is PSpace-complete. Finally, we show how public and private announcements can be expressed and illustrate the latter by the gossip spreading problem.
Keywords :
Dynamic epistemic logic
Cited literature [14 references]
https://hal.archives-ouvertes.fr/hal-01592020
Contributor : Open Archive Toulouse Archive Ouverte (OATAO) Connect in order to contact the contributor
Submitted on : Friday, September 22, 2017 - 2:30:48 PM
Last modification on : Wednesday, June 1, 2022 - 4:30:09 AM
Long-term archiving on: : Saturday, December 23, 2017 - 1:21:52 PM
Contributor : Open Archive Toulouse Archive Ouverte (OATAO) Connect in order to contact the contributor
Submitted on : Friday, September 22, 2017 - 2:30:48 PM
Last modification on : Wednesday, June 1, 2022 - 4:30:09 AM
Long-term archiving on: : Saturday, December 23, 2017 - 1:21:52 PM
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