Mojtaba Mojtahedi
Published 2022-05-11Version 1
This paper studies relative unification and admissibility in the intuitionistic logic. We generalize results of [Ghilardi, 1999; Iemhoff, 2001a] and prove them relative in NNIL(par) propositions, the class of propositions with No Nested Implications in the Left made up from parameters. The main application of such generalization is to characterize provability logic of Heyting Arithmetic HA and prove its decidability [Mojtahedi, 2022].
Finite semantics for fragments of intuitionistic logic
Copies of classical logic in intuitionistic logic
Failure of interpolation in the intuitionistic logic of constant domains
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