An application of Rieger-Nishimura formulas to the intuitionistic modal logics

Studia Logica 44 (1):79 - 85 (1985)
The main results of the paper are the following: For each monadic prepositional formula which is classically true but not intuitionistically so, there is a continuum of intuitionistic monotone modal logics L such that L+ is inconsistent.There exists a consistent intuitionistic monotone modal logic L such that for any formula of the kind mentioned above the logic L+ is inconsistent.
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DOI 10.1007/BF00370811
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