The Semantics of Predicate Logic as a Programming Language
Journal of the ACM (JACM)
Contributions to the Theory of Logic Programming
Journal of the ACM (JACM)
Logic Programs and Many-Valued Logic
STACS '84 Proceedings of the Symposium of Theoretical Aspects of Computer Science
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A fixpoint semantics is given for logic programming using domain theory, with undefined as one truth value, allowing negation, and arbitrary data structures. This generalizes the conventional semantics, and agrees with it on 'successes' for Horn clause programs. Consequences of requiring the data structure to be a compact topological space and the given relations to be continuous are investigated, extending results in the last chapter of Lloyd's book.