%0 Journal Article %J Journal of Philosophical Logic %D 2013 %T Preferential Semantics using Non-smooth Preference Relations %A Van De Putte, Frederik %A Straßer, Christian %X

This paper studies the properties of eight semantic consequence relations defined from a Tarski-logic L and a preference relation &\#8826;. They are equivalent to Shoham’s so-called preferential entailment for smooth model structures, but avoid certain problems of the latter in non-smooth configurations. Each of the logics can be characterized in terms of what we call multi-selection semantics. After discussing this type of semantics, we focus on some concrete proposals from the literature, checking a number of meta-theoretic properties and elaborating on their intuitive motivation. As it turns out, many of their meta-properties only hold in case &\#8826; is transitive. To tackle this problem, we propose slight modifications of each of the systems, showing the resulting logics to behave better at the intuitive level and in metatheoretic terms, for arbitrary &\#8826;.

%B Journal of Philosophical Logic %V 43 %P 903–942 %G eng