Language Invariance and Spectrum Exchangeability in Inductive Logic

Landes, Jürgen; Paris, Jeff B. and Vencovská, Alena (2007): Language Invariance and Spectrum Exchangeability in Inductive Logic. Symbolic and Quantitative Approaches to Reasoning with Uncertainty, Hammamet, Tunisia, October 31 - November 2, 2007. Mellouli, Khaled (ed.) : In: Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2007, Berlin, Heidelberg: pp. 151-160

Abstract

A sufficient condition, in terms of a de Finetti style representation, is given for a probability function in Inductive Logic (with relations of all arities) satisfying Spectrum Exchangeability to additionally satisfy Language Invariance. This condition is shown to also be necessary in the case of homogeneous probability functions. In contrast it is proved that (purely) t-heterogeneous probability functions can never be members of a language invariant family satisfying Spectrum Exchangeability.

• Item Type: Conference or Workshop Item (Speech)
• Faculties: Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP); Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) > Logic
• Subjects: 100 Philosophy and Psychology > 100 Philosophy; 100 Philosophy and Psychology > 160 Logic
• Place of Publication: Berlin, Heidelberg
• Annotation: Lecture Notes in Computer Science ; 4724
• Language: English