Semantics for dual preferential entailment
Journal of Philosophical Logic 38 (4):433 - 446 (2009)
| Abstract | We introduce and explore the notion of duality for entailment relations induced by preference orderings on states. We discuss the relationship between these preferential entailment relations from the perspectives of Boolean algebra, inference rules, and modal axiomatisation. Interpreting the preference relations as accessibility relations establishes modular Gödel-Löb logic as a suitable modal framework for rational preferential reasoning. | |||||||||
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Karl Schlechta (2000). New Techniques and Completeness Results for Preferential Structures. Journal of Symbolic Logic 65 (2):719-746.
Katalin Bimbó (2009). Dual Gaggle Semantics for Entailment. Notre Dame Journal of Formal Logic 50 (1):23-41.
Thomas Lukasiewicz (2005). Nonmonotonic Probabilistic Reasoning Under Variable-Strength Inheritance with Overriding. Synthese 146 (1-2):153 - 169.
Michael Philips (1991). Preferential Hiring and the Question of Competence. Journal of Business Ethics 10 (2):161 - 163.
Lou Goble (2003). Neighborhoods for Entailment. Journal of Philosophical Logic 32 (5):483-529.
Dov M. Gabbay & Karl Schlechta (2010). A Theory of Hierarchical Consequence and Conditionals. Journal of Logic, Language and Information 19 (1).
Zhaohui Zhu, Zhenghua Pan, Shifu Chen & Wujia Zhu (2002). Valuation Structure. Journal of Symbolic Logic 67 (1):1-23.
B. A. Davey, M. Haviar & H. A. Priestley (1995). The Syntax and Semantics of Entailment in Duality Theory. Journal of Symbolic Logic 60 (4):1087-1114.
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