HFL(Z) Validity Checking for Automated Program Verification

Author:

Kobayashi Naoki1ORCID,Tanahashi Kento1ORCID,Sato Ryosuke1ORCID,Tsukada Takeshi2ORCID

Affiliation:

1. University of Tokyo, Japan

2. Chiba University, Japan

Abstract

We propose an automated method for checking the validity of a formula of HFL(Z), a higher-order logic with fixpoint operators and integers. Combined with Kobayashi et al.'s reduction from higher-order program verification to HFL(Z) validity checking, our method yields a fully automated, uniform verification method for arbitrary temporal properties of higher-order functional programs expressible in the modal mu-calculus, including termination, non-termination, fair termination, fair non-termination, and also branching-time properties. We have implemented our method and obtained promising experimental results.

Funder

Japan Society for the Promotion of Science

Publisher

Association for Computing Machinery (ACM)

Subject

Safety, Risk, Reliability and Quality,Software

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Productivity Verification for Functional Programs by Reduction to Termination Verification;Proceedings of the 2024 ACM SIGPLAN International Workshop on Partial Evaluation and Program Manipulation;2024-01-11

2. Higher-Order Property-Directed Reachability;Proceedings of the ACM on Programming Languages;2023-08-30

3. Refinement Types for Call-by-name Programs;Journal of Information Processing;2023

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