Fixpoint Semantics for DatalogMTL with Negation
Abstract
DatalogMTL with negation is an extension of Datalog with metric temporal operators enriched with unstratifiable negation. In this paper, we define the stable, well-founded, Kripke-Kleene, and supported model semantics for DatalogMTL with negation in a very simple and straightforward way, by using the solid mathematical formalism of Approximation Fixpoint Theory (AFT). Moreover, we prove that the stable model semantics obtained via AFT coincides with the one defined in previous work, through the employment of pairs of interpretations stemming from the logic of here-and-there.
Fields of Study & Subjects
Logic
Reasoning
and Knowledge
Formal Methods in Verification
Semantic Web and Ontologies
Publication details
- Journal / source
- Electronic Proceedings in Theoretical Computer Science
- Volume
- 439
- Pages
- 263–277
- Publication date
- 8 January 2026
- Language
- EN