De Morgan Algebras with Tense Operators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73583892" target="_blank" >RIV/61989592:15310/17:73583892 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14310/17:00097592
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
De Morgan Algebras with Tense Operators
Original language description
To every propositional logic satisfying double negation law is assigned a De Morgan poset epsilon. Using of axioms for an universal quantifier, we set up axioms for the so-called tense operators G and H on E. The triple D = (epsilon; G, H) is called a (partial) dynamic De Morgan algebra. We solve the following questions: first, if a time frame is given, how to construct tense operators G and H; second, if a (strict) dynamic De Morgan algebra is given, how to find a time frame such that its tense operators G and H can be reached by this construction. In particular, any strict dynamic De Morgan algebra is representable in its Dedekind-MacNeille completion with respect to a suitable countable time frame.
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
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OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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