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Proof theory for admissible rules
2009
Annals of Pure and Applied Logic
Admissible rules of a logic are those rules under which the set of theorems of the logic is closed. In this paper, a Gentzen-style framework is introduced for analytic proof systems that derive admissible rules of non-classical logics. While Gentzen systems for derivability treat sequents as basic objects, for admissibility, the basic objects are sequent rules. Proof systems are defined here for admissible rules of classes of modal logics, including K4, S4, and GL, and also Intuitionistic Logic
doi:10.1016/j.apal.2008.10.011
fatcat:7z7trrc4gjg3vo2z76ppxksd2e