Decidability of admissibility: On a problem by Friedman and its solution by Rybakov

Bulletin of Symbolic Logic 27 (1):1-38 (2021)
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Abstract

Rybakov proved that the admissible rules of $\mathsf {IPC}$ are decidable. We give a proof of the same theorem, using the same core idea, but couched in the many notions that have been developed in the mean time. In particular, we illustrate how the argument can be interpreted as using refinements of the notions of exactness and extendibility.

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On a Problem of Friedman and its Solution by Rybakov.Jeroen P. Goudsmit - forthcoming - Bulletin of Symbolic Logic:1-48.
Decidability: theorems and admissible rules.Vladimir Rybakov - 2008 - Journal of Applied Non-Classical Logics 18 (2-3):293-308.

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Constructivism in Mathematics, An Introduction.A. Troelstra & D. Van Dalen - 1991 - Tijdschrift Voor Filosofie 53 (3):569-570.
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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