Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F19%3A00504854" target="_blank" >RIV/67985556:_____/19:00504854 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00500-019-03850-6" target="_blank" >https://link.springer.com/article/10.1007/s00500-019-03850-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-019-03850-6" target="_blank" >10.1007/s00500-019-03850-6</a>

Result language
angličtina
Original language name
Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic
Original language description
This paper is a contribution to graded model theory, in the context of mathematical fuzzy logic. We study characterizations of classes of graded structures in terms of the syntactic form of their first-order axiomatization. We focus on classes given by universal and universal–existential sentences. In particular, we prove two amalgamation results using the technique of diagrams in the setting of structures valued on a finite MTL-algebra, from which analogues of the Łoś–Tarski and the Chang–Łoś–Suszko preservation theorems follow.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA17-04630S" target="_blank" >GA17-04630S: Predicate graded logics and their applications to computer science</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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