Non-commutative EQ-logics and their extensions

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F09%3AA1000VNU" target="_blank" >RIV/61988987:17610/09:A1000VNU - isvavai.cz</a>
Výsledek na webu
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Jazyk výsledku
angličtina
Název v původním jazyce
Non-commutative EQ-logics and their extensions
Popis výsledku v původním jazyce
We discuss a formal many-valued logic called EQlogic which is based on a recently introduced special class of algebras called EQ-algebras. The latter have three basic binary operations (meet, multiplication, fuzzy equality) and a top element and, in a certain sense, generalize residuated lattices. The goal of EQ-logics is to present a possible direction in the development of mathematical logics in which axioms are formed as identities. In this paper we propose a basic EQ-logic and three extensions whichend up with a logic equivalent to the MTL-logic.
Název v anglickém jazyce
Non-commutative EQ-logics and their extensions
Popis výsledku anglicky
We discuss a formal many-valued logic called EQlogic which is based on a recently introduced special class of algebras called EQ-algebras. The latter have three basic binary operations (meet, multiplication, fuzzy equality) and a top element and, in a certain sense, generalize residuated lattices. The goal of EQ-logics is to present a possible direction in the development of mathematical logics in which axioms are formed as identities. In this paper we propose a basic EQ-logic and three extensions whichend up with a logic equivalent to the MTL-logic.

Rok uplatnění
2009
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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