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arXiv · 1907.09114

Exploiting Belief Bases for Building Rich Epistemic Structures

Emiliano Lorini
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Abstract

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.

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Emiliano Lorini. 2019-07-22. Exploiting Belief Bases for Building Rich Epistemic Structures. https://doi.org/10.4204/eptcs.297.21

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