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NMR
2004
Springer

A probabilistic approach to default reasoning

13 years 9 months ago
A probabilistic approach to default reasoning
A logic is defined which in addition to propositional calculus contains several types of probabilistic operators which are applied only to propositional formulas. For every s ∈ S, where S is the unit interval of a recursive nonarchimedean field, an unary operator P≥s(α) and binary operators CP=s(α, β) and CP≥s(α, β) (with the intended meaning ”the probability of α is at least s”, ”the conditional probability of α given β is s, and ”the conditional probability of α given β is at least s”, respectively) are introduced. Since S is a non-archimedean field, we can also introduce a binary operator CP≈1(α, β) with the intended meaning ”probabilities of α ∧ β and β are infinitely close”. Possible-world semantics with a probability measure on an algebra of subsets of the set of all possible worlds is provided. A simple set of axioms is given but some of the rules of inference are infinitary. As a result we can prove the strong completeness theorem fo...
Miodrag Raskovic, Zoran Ognjanovic, Zoran Markovic
Added 02 Jul 2010
Updated 02 Jul 2010
Type Conference
Year 2004
Where NMR
Authors Miodrag Raskovic, Zoran Ognjanovic, Zoran Markovic
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