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Conference Papers Year : 2020

Belief Based on Inconsistent Information

Abstract

A recent line of research has developed around logics of belief based on evidence. The approach of Bílková et al. understands belief as based on information confirmed by a reliable source. We propose a finer analysis of how belief can be based on information, where the confirmation comes from multiple possibly conflicting sources and is of a probabilistic nature. We use Belnap-Dunn logic and its probabilistic extensions to account for potentially contradictory information on which belief is grounded. We combine it with an extension of Łukasiewicz logic, or a bilattice logic, within a two-layer modal logical framework to account for belief.

Dates and versions

hal-03115256 , version 1 (19-01-2021)

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Marta Bílková, Sabine Frittella, Ondrej Majer, Sajad Nazari. Belief Based on Inconsistent Information. Dynamic Logic: New Trends and Applications, Mar 2022, Prague, Czech Republic. pp.68-86, ⟨10.1007/978-3-030-65840-3_5⟩. ⟨hal-03115256⟩
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