Collapsing Modalities

Notre Dame Journal of Formal Logic 50 (2):119-132 (2009)

Lloyd Humberstone
Monash University
Sections 1 and 2 respectively raise and settle the question of whether, if an affirmative modality collapses (reduces to the null modality, that is) in a normal modal logic, then all modalities of the same length collapse in that logic, while Section 3 considers some special cases of an analogous phenomenon for congruential modal logics, closing with a general question about collapsing modalities in this broader range of logics
Keywords modal logic   modalities
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DOI 10.1215/00294527-2009-001
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Inverse Images of Box Formulas in Modal Logic.Lloyd Humberstone - 2013 - Studia Logica 101 (5):1031-1060.

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