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Nominal Substitution at Work with the Global and Converse Modalities

In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 59-76 (1998)

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  1. An efficient approach to nominal equalities in hybrid logic tableaux.Serenella Cerrito & Marta Cialdea Mayer - 2010 - Journal of Applied Non-Classical Logics 20 (1-2):39-61.
    Basic hybrid logic extends modal logic with the possibility of naming worlds by means of a distinguished class of atoms (called nominals) and the so-called satisfaction operator, that allows one to state that a given formula holds at the world named a, for some nominal a. Hence, in particular, hybrid formulae include “equality” assertions, stating that two nominals are distinct names for the same world. The treatment of such nominal equalities in proof systems for hybrid logics may induce many redundancies. (...)
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