Converse Ackermann croperty and semiclassical negation

Studia Logica 47 (2):159 - 168 (1988)
Abstract
A prepositional logic S has the Converse Ackermann Property (CAP) if (AB)C is unprovable in S when C does not contain . In A Routley-Meyer semantics for Converse Ackermann Property (Journal of Philosophical Logic, 16 (1987), pp. 65–76) I showed how to derive positive logical systems with the CAP. There I conjectured that each of these positive systems were compatible with a so-called semiclassical negation. In the present paper I prove that this conjecture was right. Relational Routley-Meyer type semantics are provided for each one of the resulting systems (the positive systems plus the semiclassical negation).
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    References found in this work BETA
    Robert K. Meyer (1973). On Conserving Positive Logics. Notre Dame Journal of Formal Logic 14 (2):224-236.
    Alasdair Urquhart (1972). Semantics for Relevant Logics. Journal of Symbolic Logic 37 (1):159-169.
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