Bisimulation for Single-Agent Plausibility Models
Identifieur interne : 001631 ( Main/Exploration ); précédent : 001630; suivant : 001632Bisimulation for Single-Agent Plausibility Models
Auteurs : Mikkel Birkegaard Andersen [Danemark] ; Thomas Bolander [Danemark] ; Hans Van Ditmarsch [France] ; Martin Holm Jensen [Danemark]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: Epistemic plausibility models are Kripke models agents use to reason about the knowledge and beliefs of themselves and each other. Restricting ourselves to the single-agent case, we determine when such models are indistinguishable in the logical language containing conditional belief, i.e., we define a proper notion of bisimulation, and prove that bisimulation corresponds to logical equivalence on image-finite models. We relate our results to other epistemic notions, such as safe belief and degrees of belief. Our results imply that there are only finitely many non-bisimilar single-agent epistemic plausibility models on a finite set of propositions. This gives decidability for single-agent epistemic plausibility planning.
Url:
- https://api.istex.fr/ark:/67375/HCB-HJR7MR7X-F/fulltext.pdf
- https://hal.archives-ouvertes.fr/hal-01273576
DOI: 10.1007/978-3-319-03680-9_30
Affiliations:
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