Minimally abnormal models in some adaptive logics

Synthese 125 (1-2):5-18 (2000)
In an adaptive logic APL, based on a (monotonic) non-standardlogic PL the consequences of can be defined in terms ofa selection of the PL-models of . An important property ofthe adaptive logics ACLuN1, ACLuN2, ACLuNs1, andACLuNs2 logics is proved: whenever a model is not selected, this isjustified in terms of a selected model (Strong Reassurance). Theproperty fails for Priest's LP m because its way of measuring thedegree of abnormality of a model is incoherent – correcting thisdelivers the property.
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    Marcel Crabbé (2011). Reassurance for the Logic of Paradox. Review of Symbolic Logic 4 (3):479-485.
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