Priestley duality for N4-lattices
Ramon Jansana, Umberto Rivieccio
Available Online August 2013.
- https://doi.org/10.2991/eusflat.2013.38How to use a DOI?
- N4-lattices paraconsistent Nelson logic Priestley duality twist-structures Esakia duality
- We present a new Priestley-style topological duality for N4-lattices, which are the algebraic counterpart of paraconsistent Nelson logic. Our duality differs from the existing one, due to Odintsov, in that we only rely on Esakia duality for Heyting algebras and not on the duality for De Morgan algebras of Cornish and Fowler. A major advantage of our approach is that for our topological structures we obtain a quite simple description, which can be easily extended to other algebras such as non-bounded N4-lattices and N4-lattices with modal operators.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Ramon Jansana AU - Umberto Rivieccio PY - 2013/08 DA - 2013/08 TI - Priestley duality for N4-lattices BT - 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13) PB - Atlantis Press SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2013.38 DO - https://doi.org/10.2991/eusflat.2013.38 ID - Jansana2013/08 ER -