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

Pratt-Hartmann, Ian

arXiv.org Artificial Intelligence 

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.

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