%0 Journal Article %J Logique et Analyse %D 1994 %T Inconsistency-Adaptive Logics and the Foundation of Non-Monotonic Logics %A Batens, Diderik %X

This paper contains the reconstruction of (what I shall call) mixed non-monotonic logics as a combination of a deductive and a preferential component. The first leads from the premises to a possibly inconsistent consequence set; the second weeds out the inconsistencies. Among the candidates for the deductive component inconsistency-adaptive logics prove most suitable. The ensuing preferential component is formulated in terms of models and is itself split into two parts: (i) a transparent, purely logical procedure leads from a set of inconsistent models to a set of associated consistent models and (ii) the choice between the latter relies on the preferences. The real fight between mixed non-monotonic logics should concentrate on this last aspect. The outlined approach has a broader domain of application than mixed non-monotonic logics.

%B Logique et Analyse %V 37 %P 57–94 %G eng