Relevance implication and orthomodular posets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00137942" target="_blank" >RIV/00216224:14310/24:00137942 - isvavai.cz</a>
Result on the web
<a href="https://ieeexplore.ieee.org/document/10628568" target="_blank" >https://ieeexplore.ieee.org/document/10628568</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/ISMVL60454.2024.00026" target="_blank" >10.1109/ISMVL60454.2024.00026</a>

Result language
angličtina
Original language name
Relevance implication and orthomodular posets
Original language description
We establish five distinct multiple-valued quantum implications for orthogonal 2-lub-complete posets, encompassing Kalmbach implication, non-tollens implication, Dishkant implication, Sasaki implication, and relevance implication. We demonstrate that if any of these implications adhere to the order property, the corresponding poset transforms into a quantum logic, and vice versa. Additionally, we obtain a corresponding result for the modus ponens rule.
Czech name
—
Czech description
—

Project
<a href="/en/project/GF20-09869L" target="_blank" >GF20-09869L: The many facets of orthomodularity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
2024 IEEE 54th International Symposium on Multiple-Valued Logic (ISMVL)
ISBN
9798350343090
ISSN
0195-623X
e-ISSN
2378-2226
Number of pages
6
Pages from-to
85-90
Publisher name
IEEE COMPUTER SOC
Place of publication
LOS ALAMITOS
Event location
Brno, CZECH REPUBLIC
Event date
Dec 1, 2024
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001310032500015

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