English

Data-Complexity of the Two-Variable Fragment with Counting Quantifiers

Logic in Computer Science 2024-04-19 v1 Artificial Intelligence Computational Complexity

Abstract

The data-complexity of both satisfiability and finite satisfiability for the two-variable fragment with counting is NP-complete; the data-complexity of both query-answering and finite query-answering for the two-variable guarded fragment with counting is co-NP-complete.

Cite

@article{arxiv.0806.1636,
  title  = {Data-Complexity of the Two-Variable Fragment with Counting Quantifiers},
  author = {Ian Pratt-Hartmann},
  journal= {arXiv preprint arXiv:0806.1636},
  year   = {2024}
}
R2 v1 2026-06-21T10:49:07.552Z