Exploiting Belief Bases for Building Rich Epistemic Structures

Emiliano Lorini
(IRIT-CNRS, Toulouse University, France)

We introduce a semantics for epistemic logic exploiting a belief base abstraction. Differently from existing Kripke-style semantics for epistemic logic in which the notions of possible world and epistemic alternative are primitive, in the proposed semantics they are non-primitive but are defined from the concept of belief base. We show that this semantics allows us to define the universal epistemic model in a simpler and more compact way than existing inductive constructions of it. We provide (i) a number of semantic equivalence results for both the basic epistemic language with "individual belief" operators and its extension by the notion of "only believing", and (ii) a lower bound complexity result for epistemic logic model checking relative to the universal epistemic model.

In Lawrence S. Moss: Proceedings Seventeenth Conference on Theoretical Aspects of Rationality and Knowledge (TARK 2019), Toulouse, France, 17-19 July 2019, Electronic Proceedings in Theoretical Computer Science 297, pp. 332–353.
Published: 19th July 2019.

ArXived at: https://dx.doi.org/10.4204/EPTCS.297.21 bibtex PDF
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