Belief Based on Inconsistent Information

Authors: Marta Bílková, S. Frittella, Ondrej Majer, S. Nazari
Publication year: 2020
Publication type: Konferenční příspěvek (mezinárodní konf.)
Periodical: Dynamic Logic: New Trends and Applications
Projects: Predicate graded logics and their applications to computer science
Bibliographic citation: BÍLKOVÁ, Marta, FRITTELLA, S., MAJER, Ondrej, NAZARI, S. Belief Based on Inconsistent Information. In: MARTINS, M. A., SEDLÁR, I., eds. Dynamic Logic: New Trends and Applications. Cham: Springer, 2020, S. 68-86. Lecture Notes in Computer Science, 12569. ISBN 978-3-030-65839-7. ISSN 0302-9743
Dostupné z: doi:10.1007/978-3-030-65840-3_5
DOI: 10.1007/978-3-030-65840-3_5
ID: 534300

Abstract

A recent line of research has developed around logics of belief based on evidence [4, 6]. The approach of [6] 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.