Dealing With Logical Omniscience: Expressiveness and Pragmatics

Details Dealing With Logical Omniscience: Expressiveness and Pragmatics Dealing With Logical Omniscience: Expressiveness and Pragmatics

2007-02-01

arxiv.org/abs/cs/0702011v1

Computer Science

Logic in Computer Science

24 pages. Submitted for publication

Scientific paper

We examine four approaches for dealing with the logical omniscience problem and their potential applicability: the syntactic approach, awareness, algorithmic knowledge, and impossible possible worlds. Although in some settings these approaches are equi-expressive and can capture all epistemic states, in other settings of interest (especially with probability in the picture), we show that they are not equi-expressive. We then consider the pragmatics of dealing with logical omniscience-- how to choose an approach and construct an appropriate model.

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