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We determine the decidability of Karp’s NP-complete problems on structures which are first-order definable over the theory of equality, also known as orbit-finite sets with atoms or nominal sets.

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Karp’s NP-Complete Problems over First-Order Definable Structures

  • 会议论文

  • 发表日期：

    2026年

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  • Aidan Healy,
  • Bartek Klin

摘要

We determine the decidability of Karp’s NP-complete problems on structures which are first-order definable over the theory of equality, also known as orbit-finite sets with atoms or nominal sets.