On unification and admissible rules in Gabbay–de Jongh logics

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Annals of Pure and Applied Logic 165 (2):652-672 (2014)
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Abstract

In this paper we study the admissible rules of intermediate logics. We establish some general results on extensions of models and sets of formulas. These general results are then employed to provide a basis for the admissible rules of the Gabbay–de Jongh logics and to show that these logics have finitary unification type

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10.1016/j.apal.2013.09.003

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Rosalie Iemhoff
Utrecht University

Citations of this work

Unification in intermediate logics.Rosalie Iemhoff & Paul Rozière - 2015 - Journal of Symbolic Logic 80 (3):713-729.
The Admissible Rules of ${{mathsf{BD}_{2}}}$ and ${mathsf{GSc}}$.Jeroen P. Goudsmit - 2018 - Notre Dame Journal of Formal Logic 59 (3):325-353.

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References found in this work

Theory of Logical Calculi: Basic Theory of Consequence Operations.Ryszard Wójcicki - 1988 - Dordrecht, Boston and London: Kluwer Academic Publishers.
Unification in intuitionistic logic.Silvio Ghilardi - 1999 - Journal of Symbolic Logic 64 (2):859-880.
One hundred and two problems in mathematical logic.Harvey Friedman - 1975 - Journal of Symbolic Logic 40 (2):113-129.

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