The axiom of McKinsey-Sobocinski in the framework of discussive logics

Marek Nasieniewski

Abstract


In this paper we use Jaskowski’s method of defining a propositional logic with the help of the M-fragment of a given modal logic to express classical logic. We use as weak tools as possible to do this. A strengthening of some results by Scott and Lemmon concerning the McKinsey-Sobocinski axiom is presented. This paper is a part of the investigation of building the adaptive logic on the basis of the logic D2.

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