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IMCS/Publications/BASM/Issues/BASM n.2 (63), 2010/

A criterion for parametrical completeness in the 8-valued algebraic model of modal logic S5

Authors: Cebotari Vadim

Abstract

The problem of parametrical completeness in the logic of 8-element topological Boolean algebra with trivial open elements is considered. The conditions permitting to determine the parametrical completeness of an arbitrary system of formulas in the mentioned logic are established in terms of 25 parametrical pre-complete classes of formulas.

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