The Visser rules form a basis of admissibility for the intuitionistic propositional calculus. We show how one can characterize the existence of covers in certain models by means of formulae. Through this characterization, 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 generalization of the disjunction property, to provide a basis of admissibility for the intermediate logics BD2 and GSc.
|Number of pages||29|
|Journal||NOTRE DAME JOURNAL OF FORMAL LOGIC|
|Publication status||Published - 2018|
- admissible rules
- intermediate logics
- intuitionistic logic
- universal model