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SM ISO690:2012 LYALETSKI, Alexander. Admissibility, compatibility, and deducibility in first-order sequent logics. In: Computer Science Journal of Moldova, 2015, nr. 3(69), pp. 289-303. ISSN 1561-4042. |
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Computer Science Journal of Moldova | ||||||
Numărul 3(69) / 2015 / ISSN 1561-4042 /ISSNe 2587-4330 | ||||||
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CZU: 512.54.05:004.42.021 | ||||||
Pag. 289-303 | ||||||
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The paper is about the notions of admissibility and compat- ibility and their significance for deducibility in different sequent logics including first-order classical and intuitionistic ones both without and with equality and, possibly, with modal rules. Re- sults on the coextensivity of the proposed sequent calculi with usual Gentzen and Kanger sequent calculi as well as with their equality and modal extensions are given. |
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Cuvinte-cheie First-order classical logic, sequent calculus, admissibility, compatibility, validity, first-order intuitionistic logic, first-order modal logic, deducibility, coextensivity |
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