中文

Complexity of the Two-Variable Fragment with (Binary-Coded) Counting Quantifiers

计算机科学中的逻辑 2024-04-19 v1

摘要

We show that the satisfiability and finite satisfiability problems for the two-variable fragment of first-order logic with counting quantifiers are both in NEXPTIME, even when counting quantifiers are coded succinctly.

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引用

@article{arxiv.cs/0411031,
  title  = {Complexity of the Two-Variable Fragment with (Binary-Coded) Counting Quantifiers},
  author = {Ian Pratt-Hartmann},
  journal= {arXiv preprint arXiv:cs/0411031},
  year   = {2024}
}

备注

24 pages, 1 pstex_t figure