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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DOI 10.1007/BF00370290
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Semantics for Relevant Logics.Alasdair Urquhart - 1972 - Journal of Symbolic Logic 37 (1):159-169.
Begründung Einer Strengen Implikation.Wilhelm Ackermann - 1956 - Journal of Symbolic Logic 21 (2):113-128.
On Conserving Positive Logics.Robert K. Meyer - 1973 - Notre Dame Journal of Formal Logic 14 (2):224-236.

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