A Cyclic Proof System for HFL_ℕ

@inproceedings{Kori2021ACP,
  title={A Cyclic Proof System for HFL\_ℕ},
  author={Mayuko Kori and Takeshi Tsukada and Naoki Kobayashi},
  booktitle={CSL},
  year={2021}
}
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… Expand
2 Citations
An Overview of the HFL Model Checking Project
  • Naoki Kobayashi
  • Computer Science
  • HCVS@ETAPS
  • 2021
TLDR
This article presents its methods for automatically solving the HFL(Z) model/validity checking problems, using higher-order model checkers and CHC solvers as backends. Expand
A Cyclic Proof System for HFLN
TLDR
This work proposes a cyclic proof system for HFLN, which is a higher-order predicate logic with natural numbers and alternating fixed-points, and proves the decidability of checking the global condition and soundness of this system, and also proves a restricted form of standard completeness for an infinitary variant of the system. Expand

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