On some classes of formulas in S5 which are pre-complete relative to existential expressibility
Existential expressibility for all $k$-valued functions was proposed by A.~V. Kuz\-ne\-tsov and later was investigated in more details by S.~S.~Mar\-chen\-kov. In the present paper, we consider existential expressibility in the case of formulas defined by a logical calculus and find out some conditi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vladimir Andrunachievici Institute of Mathematics and Computer Science
2023-12-01
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| Series: | Computer Science Journal of Moldova |
| Subjects: | |
| Online Access: | http://www.math.md/files/csjm/v31-n3/v31-n3-(pp395-408).pdf |
| Summary: | Existential expressibility for all $k$-valued functions was proposed by A.~V. Kuz\-ne\-tsov and later was investigated in more details by S.~S.~Mar\-chen\-kov. In the present paper, we consider existential expressibility in the case of formulas defined by a logical calculus and find out some conditions for a system of formulas to be closed relative to existential expressibility. As a consequence, it has been established some pre-complete as to existential expressibility classes of formulas in some finite extensions of the paraconsistent modal logic $S5$. |
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| ISSN: | 1561-4042 2587-4330 |