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 and , 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 and and Basic Logic [27].

A temporal semantics for Nilpotent Minimum logic / M. Bianchi. - In: INTERNATIONAL JOURNAL OF APPROXIMATE REASONING. - ISSN 0888-613X. - 55:1(2014 Jan), pp. 391-401. [10.1016/j.ijar.2013.10.007]

A temporal semantics for Nilpotent Minimum logic

M. Bianchi
2014

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 and , 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 and and Basic Logic [27].
Łukasiewicz logic; Many-valued logics; Nilpotent Minimum logic; Pre-rough algebras; Rough sets; Temporal semantics
Settore INF/01 - Informatica
Settore MAT/01 - Logica Matematica
Settore MAT/02 - Algebra
gen-2014
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/227926
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