Artificial Intelligence
A logic for reasoning about probabilities
Information and Computation - Selections from 1988 IEEE symposium on logic in computer science
Reasoning about knowledge and probability
Journal of the ACM (JACM)
Some first-order probability logics
Theoretical Computer Science
Probabilistic Reasoning Under Coherence in System P
Annals of Mathematics and Artificial Intelligence
Probabilistic Default Reasoning with Conditional Constraints
Annals of Mathematics and Artificial Intelligence
A complete probabilistic belief logic
CLIMA VII'06 Proceedings of the 7th international conference on Computational logic in multi-agent systems
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In this paper we investigate a probability logic which enriches propositional calculus with a class of conditional probability operators of de Finetti's type. The logic allows making formulas such as CP≥s(β|α), with the intended meaning ”the conditional probability of β given α is at least s”. A possible-world approach is proposed to give semantics to such formulas. An infinitary axiomatic system for our logic which is sound and complete with respect to the mentioned class of models is given. We prove decidability of the presented logic.