Stratified Negation in Datalog with Metric Temporal Operators

David J Tena Cucala; Przemysław A Wałęga; Bernardo Cuenca Grau; Egor Kostylev

AAAI 2021technical28 citations

Stratified Negation in Datalog with Metric Temporal Operators

David J Tena Cucala, Przemysław A Wałęga, Bernardo Cuenca Grau, Egor Kostylev

Abstract

We extend DatalogMTL—Datalog with operators from metric temporal logic—by adding stratified negation as failure. The new language provides additional expressive power for representing and reasoning about temporal data and knowledge in a wide range of applications. We consider models over the rational timeline, study their properties, and establish the computational complexity of reasoning. We show that, as in negation-free DatalogMTL, fact entailment in our language is PSPACE-complete in data and EXPSPACE-complete in combined complexity. Thus, the extension with stratified negation does not lead to higher complexity.

BibTeX

@inproceedings{aaai2021_stratifiednegati,
  title = {Stratified Negation in Datalog with Metric Temporal Operators},
  author = {David J Tena Cucala and Przemysław A Wałęga and Bernardo Cuenca Grau and Egor Kostylev},
  booktitle = {AAAI 2021},
  year = {2021}
}