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Unifiability and Structural Completeness in Relation Algebras and in Products of Modal Logic S5
Bulletin of the Section of Logic 44 (1/2):1-14 (2015)
Abstract
Unifiability of terms (and formulas) and structural completeness in the variety of relation algebras RA and in the products of modal logic S5 is investigated. Nonunifiable terms (formulas) which are satisfiable in varieties (in logics) are exhibited. Consequently, RA and products of S5 as well as representable diagonal-free n-dimensional cylindric algebras, RDfn, are almost structurally complete but not structurally complete. In case of S5n a basis for admissible rules and the form of all passive rules are provided.Other Versions
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References found in this work
Unification in intuitionistic logic.Silvio Ghilardi - 1999 - Journal of Symbolic Logic 64 (2):859-880.
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.
Projective unification in modal logic.Wojciech Dzik & Piotr Wojtylak - 2012 - Logic Journal of the IGPL 20 (1):121-153.
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