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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
MNiBLoS: A SMT-based Solver for Continuous t-norm Based Logics and Some of their Modal Expansions
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GF15-34650L" target="_blank" >GF15-34650L: Modeling vague quantifiers in mathematical fuzzy logic</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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