Logique Et Analyse 52 (207):193-218 (2009)

Abstract
In this paper, I will present a Fitch–style natural deduction proof theory for modal paralogics (modal logics with gaps and/or gluts for negation). Besides the standard classical subproofs, the presented proof theory also contains modal subproofs, which express what would follow from a hypothesis, in case it would be true in some arbitrary world
Keywords Modal paralogics  Fitch–style natural deduction  paraconsistent logics  modal logics  proof theory
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