The Admissible Rules of BD2 and GSc

J.P. Goudsmit

Research output: Working paperAcademic

Abstract

The Visser rules form a basis of admissibility for the intuitionistic propositional calculus. We show how one can characterise the existence of covers in certain models, by means of formulae. Through this characterisation, we provide a new proof of the admissibility of a weak form of the Visser rules. Finally, we use this observation, coupled with a description of a generalisation of the disjunction property, to provide a basis of admissibility for the intermediate logics BD2 and GSc.
Original languageEnglish
Place of PublicationUtrecht University
PublisherLogic Group preprint series: http://www.phil.uu.nl/preprints/lgps/
Publication statusPublished - 3 Sept 2013

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PublisherLogic Group preprint series: http://www.phil.uu.nl/preprints/lgps/

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