Journal of Computer and Systems Sciences International · 2007 · 11 citations · 3 references
ComputingComputer ScienceMathematicsAlgebraLogicProbability TheoryBayesian InferenceBoolean AlgebraMathematical LogicModel TheoryRelational AlgebraUncertainty RepresentationProbabilistic LogicProbabilistic Process AlgebraProbabilistic Reasoning
The concept of “probabilistic logic” known in artificial intelligence needs a more through substantiation. A new approach to constructing probabilistic logic based on the n-tuple algebra developed by the author is proposed. A brief introduction is given to the n-tuple algebra and its properties that provide efficient paralleling of algorithms for solving problems of logical analysis of systems in computer implementation are generalized. Methods for solving direct and inverse problems of probabilistic simulation of logical systems are considered.
3
Foundations of the Theory of Probability
B. C. Brookes, A. N. Kolmogorov · The Mathematical Gazette · 1951 · 1.7K citations
Nils J. Nilsson · Artificial Intelligence · 1986 · 1.2K citations
A logic for reasoning about probabilities
Ronald Fagin, Joseph Y. Halpern, Nimrod Megiddo · Information and Computation · 1990 · 588 citations
Natural Sciences, Mathematics, Logic +13