A temporal semantics for Nilpotent Minimum logic

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] and [17], in which the logic of every instant is given by Ł3: 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] and [14] and Basic Logic [27].