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  1. Modal reduction principles.J. F. A. K. van Benthem - 1976 - Journal of Symbolic Logic 41 (2):301-312.
  • Collapsing Modalities.Lloyd Humberstone - 2009 - Notre Dame Journal of Formal Logic 50 (2):119-132.
    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.
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