We establish the dichotomy property for stable canonical multi-conclusionrules for IPC, K4, and S4. This yields an alternative proof of existence of explicit bases of admissible rules for these logics.

Admissible Bases Via Stable Canonical Rules / N. Bezhanishvili, D. Gabelaia, S. Ghilardi, M. Jibladze. - In: STUDIA LOGICA. - ISSN 0039-3215. - 104:2(2016), pp. 317-341. [10.1007/s11225-015-9642-z]

Admissible Bases Via Stable Canonical Rules

S. Ghilardi
Penultimo
;
2016

Abstract

We establish the dichotomy property for stable canonical multi-conclusionrules for IPC, K4, and S4. This yields an alternative proof of existence of explicit bases of admissible rules for these logics.
Admissible bases; Admissible rules; Canonical formulas; Heyting algebras; Intuitionistic logic; Modal algebras; Modal logic; Logic; History and Philosophy of Science
Settore MAT/01 - Logica Matematica
2016
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/374669
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