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  1. Inconsistency-Adaptive Modal Logics. On How to Cope with Modal Inconsistency.Hans Lycke - 2010 - Logic and Logical Philosophy 19 (1-2):31-61.
    In this paper, I will characterize a new class of inconsistency-adaptive logics, namely inconsistency-adaptive modal logics. These logics cope with inconsistencies in a modal context. More specifically, when faced with inconsistencies, inconsistency-adaptive modal logics avoid explosion, but still allow the derivation of sufficient consequences to adequately explicate the part of human reasoning they are intended for.
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  2.  31
    Fitch-Style Natural Deduction for Modal Paralogics.Hans Lycke - 2009 - Logique Et Analyse 52 (207):193-218.
    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.
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    An Adaptive Logic for Relevant Classical Deduction.Hans Lycke - 2007 - Journal of Applied Logic 5 (4):602-612.