Artificial Intelligence
Quantitative deduction and its fixpoint theory
Journal of Logic Programming
Evidential support logic programming
Fuzzy Sets and Systems
Paraconsistent logic programming
Theoretical Computer Science
A logic for reasoning about probabilities
Information and Computation - Selections from 1988 IEEE symposium on logic in computer science
Representing and reasoning with probabilistic knowledge: a logical approach to probabilities
Representing and reasoning with probabilistic knowledge: a logical approach to probabilities
Constraint propagation with imprecise conditional probabilities
Proceedings of the seventh conference (1991) on Uncertainty in artificial intelligence
Non-monotonic negation in probabilistic deductive databases
Proceedings of the seventh conference (1991) on Uncertainty in artificial intelligence
Bilattices and the semantics of logic programming
Journal of Logic Programming
Probabilistic reasoning in logic programming
Methodologies for intelligent systems, 5
Implementing deductive databases by linear programming
PODS '92 Proceedings of the eleventh ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
Theory of generalized annotated logic programming and its applications
Journal of Logic Programming
Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference
Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference
Default reasoning: causal and conditional theories
Default reasoning: causal and conditional theories
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We address the problem of supporting empirical probabilities in monadic logic databases. Though the semantics of multivalued logic programs has been studied extensively, the treatment of probabilities as results of statistical findings has not been studied in logic programming/deductive databases. We develop a model-theoretic characterization of logic databases that facilitates such a treatment. We present an algorithm for checking consistency of such databases and prove its total correctness. We develop a sound and complete query processing procedure for handling queries to such databases.