Algebraic Structures Formalizing the Logic of Quantum Mechanics Incorporating Time Dimension

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73633164" target="_blank" >RIV/61989592:15310/25:73633164 - isvavai.cz</a>
Výsledek na webu
<a href="https://link.springer.com/article/10.1007/s11225-024-10103-7" target="_blank" >https://link.springer.com/article/10.1007/s11225-024-10103-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11225-024-10103-7" target="_blank" >10.1007/s11225-024-10103-7</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Algebraic Structures Formalizing the Logic of Quantum Mechanics Incorporating Time Dimension
Popis výsledku v původním jazyce
The aim of this paper is to show that tense operators can be introduced in every logic based on a complete lattice, in particular in the logic of quantum mechanics based on a complete orthomodular lattice.If the time set is given together with a preference relation, we introduce tense operators in a purely algebraic way. We investigate connections of these tense operators with logical connectives conjunction and implication derived by means of Sasaki projections. We solve the converse problem, namely to find for given time set and given tense operators a time preference relation.
Název v anglickém jazyce
Algebraic Structures Formalizing the Logic of Quantum Mechanics Incorporating Time Dimension
Popis výsledku anglicky
The aim of this paper is to show that tense operators can be introduced in every logic based on a complete lattice, in particular in the logic of quantum mechanics based on a complete orthomodular lattice.If the time set is given together with a preference relation, we introduce tense operators in a purely algebraic way. We investigate connections of these tense operators with logical connectives conjunction and implication derived by means of Sasaki projections. We solve the converse problem, namely to find for given time set and given tense operators a time preference relation.

Projekt
<a href="/cs/project/GF20-09869L" target="_blank" >GF20-09869L: Ortomodularita z různých pohledů</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění
2025
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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