A Cyclic Proof System for HFL_ℕ

  title={A Cyclic Proof System for HFL\_ℕ},
  author={Mayuko Kori and Takeshi Tsukada and Naoki Kobayashi},
A cyclic proof system allows us to perform inductive reasoning without explicit inductions. We propose a cyclic proof system for HFLN, which is a higher-order predicate logic with natural numbers and alternating fixed-points. Ours is the first cyclic proof system for a higher-order logic, to our knowledge. Due to the presence of higher-order predicates and alternating fixed-points, our cyclic proof system requires a more delicate global condition on cyclic proofs than the original system of… 
2 Citations
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  • 2015
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