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On unification and admissible rules in Gabbay-de Jongh logics
authors Goudsmit, Jeroen; Iemhoff, R.
source Logic Group Preprint Series, Volume: 297 (2012), pp. 1-18
full text [Full text]
publisher Department of Philosophy of Utrecht University
URL publisher [Website publisher]
document type Preprint
version Preprint version
disciplines Wijsbegeerte
abstract In this paper we study the admissible rules of intermediate logics with the disjunction property. We establish some general results on extension of models and sets of formulas, and eventually specialize to provide a a basis for the admissible rules of the Gabbay-de Jongh logics and to show that that logic has finitary unification type.
keywords intuitionistic logic, intermediate logic, admissible rules, disjunction property, extension property
ISSN 0929-0710