On Homogenous Fragments Of Normal Modal Propositional Logics


Abstract
The purpose of the present paper is to discuss the L-fragments and M-fragments of normal modal propositional logic, where by L-fragment of the modal, logic P we mean the set of all theorems belonging to P, whose rst symbol is L . The paper is divided into three sections. In x1 we describe notations and terminology used in the sequel and we dene some notations which are basic for our paper. In x2 for some classes of axiomatizable normal calculi we axiomatize their L- and M-counterparts. Finally, in x3 the fragments of some modal normal logics are investigated
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