First-order anti-intuitionistic logic with apartness

Logic and Logical Philosophy 13:77-88 (2004)
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Abstract

In this paper we will develop a first-order anti-intuitionistic logic withoutand with paraconsistent apartness. We will give a system of Hilbert-type counteraxioms, that we show to be correct and complete with respect to a deictic Kripkesemantics. Also we will illustrate some examples about objects being apart and notapart in some possible world

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References found in this work

Dual-Intuitionistic Logic.Igor Urbas - 1996 - Notre Dame Journal of Formal Logic 37 (3):440-451.
The Logic of Contradiction.Nicolas D. Goodman - 1981 - Mathematical Logic Quarterly 27 (8-10):119-126.

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