Representation theorems for probability functions satisfying spectrum exchangeability in inductive logic
نویسندگان
چکیده
منابع مشابه
A characterization of the Language Invariant families satisfying Spectrum Exchangeability in Polyadic Inductive Logic
A necessary and sufficient condition in terms of a de Finetti style representation is given for a probability function in Polyadic Inductive Logic to satisfy being part of a Language Invariant family satisfying Spectrum Exchangeability. This theorem is then considered in relation to the unary Carnap and Nix-Paris Continua.
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A sufficient condition 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.
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ژورنال
عنوان ژورنال: International Journal of Approximate Reasoning
سال: 2009
ISSN: 0888-613X
DOI: 10.1016/j.ijar.2009.07.001