From paraconsistent three-valued logics to multiple-source epistemic logic
Davide Ciucci, Didier Dubois
Available Online August 2013.
- https://doi.org/10.2991/eusflat.2013.116How to use a DOI?
- paraconsistent logic epistemic logic multiple source system
- Several interpretations can be given to the third truth value in three-valued logics. Here, we consider the case when it refers to the epistemic notion of contradictory, or both true and false at the same time. We study several paraconsistent three-valued logics that carry this concern and show that they can be translated into a fragment of a simple epistemic logic where modalities can only appear in front of literals. This logic is unusual in the sense that necessity modalities distribute over disjunctions instead of conjunctions. An equivalent translation into a fragment of KD modal logic can be obtained by exchanging the role of possibility and necessity modalities, highlighting the perfect symmetry between three-valued logics of contradiction and three-valued logics of incomplete information.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Davide Ciucci AU - Didier Dubois PY - 2013/08 DA - 2013/08 TI - From paraconsistent three-valued logics to multiple-source epistemic logic BT - 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13) PB - Atlantis Press SP - 820 EP - 827 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2013.116 DO - https://doi.org/10.2991/eusflat.2013.116 ID - Ciucci2013/08 ER -