Introduction to higher order categorical logic
Introduction to higher order categorical logic
Quantitative deduction and its fixpoint theory
Journal of Logic Programming
Foundations of logic programming; (2nd extended ed.)
Foundations of logic programming; (2nd extended ed.)
A notion of map between logic programs
Logic programming
Category theory for computing science
Category theory for computing science
Theory of generalized annotated logic programming and its applications
Journal of Logic Programming
Fixpoint semantics for logic programming a survey
Theoretical Computer Science
A Fibrational Semantics for Logic Programs
ELP '96 Proceedings of the 5th International Workshop on Extensions of Logic Programming
Logic Programming in Tau Categories
CSL '94 Selected Papers from the 8th International Workshop on Computer Science Logic
Automated deduction for many-valued logics
Handbook of automated reasoning
A Top-Down Query Answering Procedure for Normal Logic Programs Under the Any-World Assumption
ECSQARU '07 Proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Coalgebraic semantics for parallel derivation strategies in logic programming
AMAST'10 Proceedings of the 13th international conference on Algebraic methodology and software technology
Coalgebraic semantics for derivations in logic programming
CALCO'11 Proceedings of the 4th international conference on Algebra and coalgebra in computer science
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We introduce a fibrational semantics for many-valued logic programming, use it to define an SLD-resolution for annotation-free many valued logic programs as defined by Fitting, and prove a soundness and completeness result relating the two. We show that fibrational semantics corresponds with the traditional declarative (ground) semantics and deduce a soundness and completeness result for our SLD-resolution algorithm with respect to the ground semantics.