Unification in Pretabular Extensions of S4

Logica Universalis 15 (3):381-397 (2021)
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Abstract

L.L. Maksimova and L. Esakia, V. Meskhi showed that the modal logic \ has exactly 5 pretabular extensions PM1–PM5. In this paper, we study the problem of unification for all given logics. We showed that PM2 and PM3 have finitary, and PM1, PM4, PM5 have unitary types of unification. Complete sets of unifiers in logics are described.

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References found in this work

Unification in modal and description logics.Franz Baader & Silvio Ghilardi - 2011 - Logic Journal of the IGPL 19 (6):705-730.
Best solving modal equations.Silvio Ghilardi - 2000 - Annals of Pure and Applied Logic 102 (3):183-198.
Extensions of the Lewis system S5.Schiller Joe Scroggs - 1951 - Journal of Symbolic Logic 16 (2):112-120.
Five critical modal systems.L. Esakia & V. Meskhi - 1977 - Theoria 43 (1):52-60.

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