Advances in the LPi and LPi1/2 Logics

0404739 - UIVT-O 20030014 RIV DE eng J - Journal Article
Cintula, Petr
Advances in the LPi and LPi1/2 Logics.
Archive for Mathematical Logic. Roč. 42, č. 5 (2003), s. 449-468. ISSN 0933-5846. E-ISSN 1432-0665
R&D Projects: GA AV ČR IAA1030004
Institutional research plan: AV0Z1030915
Keywords : fuzzy logic * Lukasiewicz logic * product logic
Subject RIV: BA - General Mathematics
Impact factor: 0.523, year: 2003

The LPi and LPi1/2 logics were introduced by Godo, Esteva and Montagna. These logics extend many other logics, including the Godel, product and Lukasiewicz logic. The aim of this paper is to show advances in this field. We will see further reduction of the axiomatic systems for both logics. Then we will see many other logics contained in these logics (namely logics induced by the continuous finitely constructed t-norms and Takeuti and Titani's fuzzy predicate logic).
Permanent Link: http://hdl.handle.net/11104/0124977