MNiBLoS: A SMT-based Solver for Continuous t-norm Based Logics and Some of their Modal Expansions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F16%3A00465844" target="_blank" >RIV/67985807:_____/16:00465844 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.ins.2016.08.072" target="_blank" >http://dx.doi.org/10.1016/j.ins.2016.08.072</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ins.2016.08.072" target="_blank" >10.1016/j.ins.2016.08.072</a>

Jazyk výsledku

angličtina

Název v původním jazyce

MNiBLoS: A SMT-based Solver for Continuous t-norm Based Logics and Some of their Modal Expansions

Popis výsledku v původním jazyce

In the literature, little attention has been paid to the development of solvers for systems of mathematical fuzzy logic, and in particular, there are few works concerned with infinitely-valued logics. In this paper it is presented mNiBLoS (a modal Nice BL-Logics Solver): a modular SMT-based solver complete with respect to a wide family of continuous t-norm based fuzzy modal logics (both with finite and infinite universes), restricting the modal structures to the finite ones. At the propositional level, the solver works with some of the best known infinitely-valued fuzzy logics (including BL, Lukasiewicz, Gödel and product logics), and with all the continuous t-norm based logics that can be finitely expressed in terms of the previous ones; concerning the modal expansion, mNiBLoS imposes no boundary on the cardinality of the modal structures considered. The solver allows to test 1-satisfiability of equations, tautologicity and logical consequence problems. The logical language supported extends the usual one of fuzzy modal logics with rational constants and the Monteiro-Baaz delta operator. The code of mNiBLoS is of free distribution and can be found in the web page of the author.

Název v anglickém jazyce

MNiBLoS: A SMT-based Solver for Continuous t-norm Based Logics and Some of their Modal Expansions

Popis výsledku anglicky

In the literature, little attention has been paid to the development of solvers for systems of mathematical fuzzy logic, and in particular, there are few works concerned with infinitely-valued logics. In this paper it is presented mNiBLoS (a modal Nice BL-Logics Solver): a modular SMT-based solver complete with respect to a wide family of continuous t-norm based fuzzy modal logics (both with finite and infinite universes), restricting the modal structures to the finite ones. At the propositional level, the solver works with some of the best known infinitely-valued fuzzy logics (including BL, Lukasiewicz, Gödel and product logics), and with all the continuous t-norm based logics that can be finitely expressed in terms of the previous ones; concerning the modal expansion, mNiBLoS imposes no boundary on the cardinality of the modal structures considered. The solver allows to test 1-satisfiability of equations, tautologicity and logical consequence problems. The logical language supported extends the usual one of fuzzy modal logics with rational constants and the Monteiro-Baaz delta operator. The code of mNiBLoS is of free distribution and can be found in the web page of the author.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

<a href="/cs/project/GF15-34650L" target="_blank" >GF15-34650L: Modelování vágních kvantifikátorů v matematické fuzzy logice</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Information Sciences

ISSN

0020-0255

e-ISSN

—

Svazek periodika

372

Číslo periodika v rámci svazku

1 December

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

22

Strana od-do

709-730

Kód UT WoS článku

000384864300044

EID výsledku v databázi Scopus

2-s2.0-84984653327