Mathematical Logic Quarterly 47 (4):441-446 (2001)

Abstract
We find an explicit basis for all admissible rules of the modal logic S4. Our basis consists of an infinite sequence of rules which have compact and simple, readable form and depend on increasing set of variables. This gives a basis for all quasi-identities valid in the free modal algebra ℱS4 of countable rank
Keywords Basis for admissible rules  Free algebra  Kripke model  Admissible rule  Inference rule  Modal logic
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DOI 10.1002/1521-3870(200111)47:4
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Linear Temporal Logic with Until and Next, Logical Consecutions.V. Rybakov - 2008 - Annals of Pure and Applied Logic 155 (1):32-45.

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