Studia Logica

, Volume 49, Issue 4, pp 501–514

Models for relevant modal logics


  • André Fuhrmann
    • Universität Konstanz Zentrum Philosophie und Wissenschaftstheorie

DOI: 10.1007/BF00370161

Cite this article as:
Fuhrmann, A. Studia Logica (1990) 49: 501. doi:10.1007/BF00370161


Semantics are given for modal extensions of relevant logics based on the kind of frames introduced in [7]. By means of a simple recipe we may obtain from a class FRM (L) of unreduced frames characterising a (non-modal) logic L, frame-classes FRM (L.M) characterising conjunctively regular modal extensions L.M of L. By displaying an incompleteness phenomenon, it is shown how the recipe fails when reduced frames are under consideration.

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© Polish Academy of Sciences 1990