A temporal semantics for Nilpotent Minimum logic

Abstract

In [6] a connection among rough sets (in particular, pre-rough algebras) and three-valued Łukasiewicz logic Ł3 is pointed out. In this paper we present a temporal like semantics for Nilpotent Minimum logic NM [22,17], in which the logic of every instant is given by Ł 3: a completeness theorem will be shown. This is the prosecution of the work initiated in [5] and [1], in which the authors construct a temporal semantics for the many-valued logics of Gödel [24,14] and Basic Logic [27]. © 2013 Elsevier Inc. All rights reserved.