Hereditarily Structurally Complete Intermediate Logics: Citkin’s Theorem Via Duality
نویسندگان
چکیده
Abstract A deductive system is said to be structurally complete if its admissible rules are derivable. In addition, it called hereditarily all extensions complete. Citkin (1978) proved that an intermediate logic and only the variety of Heyting algebras associated with omits five finite algebras. Despite importance in theory rules, a direct proof Citkin’s theorem not widely accessible. this paper we offer self-contained theorem, based on Esakia duality method subframe formulas. As corollary, obtain short 2019 characterization positive logics.
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ژورنال
عنوان ژورنال: Studia Logica
سال: 2022
ISSN: ['0039-3215', '1572-8730']
DOI: https://doi.org/10.1007/s11225-022-10012-7