Informace o publikaci
Relevance implication and orthomodular posets
| Autoři | |
|---|---|
| Rok publikování | 2024 |
| Druh | Článek ve sborníku |
| Konference | 2024 IEEE 54th International Symposium on Multiple-Valued Logic (ISMVL) |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://ieeexplore.ieee.org/document/10628568 |
| Doi | http://dx.doi.org/10.1109/ISMVL60454.2024.00026 |
| Klíčová slova | multiple-valued implication; Kalmbach implication; non-tollens implication; Dishkant implication; Sasaki implication; relevance implication; classical implication; orthomodular poset; modus ponens rule |
| Popis | 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. |
| Související projekty: |