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Hypersequent systems for the admissible rules of modal and intermediate logics
authors Iemhoff, R.; Metcalfe, George
source Logic Group preprint series, Volume: 270 (2008), pp. 1-15
full text [Full text]
publisher Department of Philosophy, University of Utrecht
URL publisher [Website publisher]
document type Preprint
disciplines Wijsbegeerte
abstract The admissible rules of a logic are those rules under which the set of theorems of the logic is closed. In a previous paper by the authors, formal systems for deriving the admissible rules of Intuitionistic Logic and a class of modal logics were defined in a proof-theoretic framework where the basic objects of the systems are sequent rules. Here, the framework is extended to cover derivability of the admissible rules of intermediate logics and a wider class of modal logics, in this case, by taking hypersequent rules as the basic objects.
ISSN 0929-0710