Relevance Logics, Paradoxes Of Consistency And The K Rule Ii

Logic and Logical Philosophy 15:175-191 (2006)

Authors
Gemma Robles
Universidad de León
José M. Méndez
Universidad de Salamanca
Abstract
The logic B+ is Routley and Meyer’s basic positive logic. Wedefine the logics BK+ and BK′+ by adding to B+ the K rule and to BK+the characteristic S4 axiom, respectively. These logics are endowed witha relatively strong non-constructive negation. We prove that all the logicsdefined lack the K axiom and the standard paradoxes of consistency
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