Preferential semantics using non-smooth preference relations

• Autores: Frederik Van De Putte, Christian Straßer
• Localización: Journal of Philosophical Logic, ISSN-e 1573-0433, Vol. 43, Nº. 5, 2014, págs. 903-942
• Idioma: alemán
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• Resumen

  • This paper studies the properties of eight semantic consequence relations defined from a Tarski-logic L and a preference relation ? . 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 ? 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