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arXiv · 1902.03770

About the unification type of simple symmetric modal logics

Philippe Balbiani·Çiğdem Gencer
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Abstract

The unification problem in a normal modal logic is to determine, given a formula F, whether there exists a substitution s such that s(F) is in that logic. In that case, s is a unifier of F. We shall say that a set of unifiers of a unifiable formula F is complete if for all unifiers s of F, there exists a unifier t of F in that set such that t is more general than s. When a unifiable formula has no minimal complete set of unifiers, the formula is nullary. In this paper, we prove that KB, KDB and KTB possess nullary formulas.

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Philippe Balbiani, Çiğdem Gencer. 2019-02-11. About the unification type of simple symmetric modal logics. https://arxiv.org/abs/1902.03770

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