van Ditmarsch, Hans and Kuijer, Louwe B 
ORCID: 0000-0001-6696-9023
(2019)
Knowledge Without Complete Certainty.
In: 26th Workshop on Logic, Language, Information and Computation, 2019-7-2 - 2019-7-5.
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Abstract
We present an epistemic logic ELF (Epistemic Logic with Filters) where knowledge does not require complete certainty. In this logic, instead of saying that an agent knows a particular fact if it is true in every accessible world, we say that it knows the fact if it is true in a sufficiently large set accessible worlds. On a technical level, we do this by enriching the standard Kripke models of epistemic logic with a set of filters: a sufficiently large set of worlds is one that is in the filter. We introduce semantics for ELF, and give a sound and complete proof system.
| Item Type: | Conference or Workshop Item (Unspecified) |
|---|---|
| Depositing User: | Symplectic Admin |
| Date Deposited: | 19 Jun 2019 14:48 |
| Last Modified: | 04 Mar 2024 09:17 |
| DOI: | 10.1007/978-3-662-59533-6_38 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3046526 |
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