arXiv:2510.10189cs.LOcs.AI2025-10

用形式化验证确保时间规划问题无解的可信认证

Formally Verified Certification of Unsolvability of Temporal Planning Problems

  • 将时间规划转为时序自动机网络,用模型检测求解
  • 通过形式化证明确保编码与检测结果正确
  • 适合需要高可信度的航空航天、医疗系统规划

我们提出一种时间规划问题无解认证的方法。该方法将规划问题编码为时序自动机网络,利用高效模型检测器进行分析,并通过已有的形式化验证证书检查器对结果进行认证。整个流程强调认证的可信性:我们使用Isabelle/HOL定理证明器对编码过程进行了形式化验证,同时采用另一已在Isabelle/HOL中形式化验证过的证书检查器来确认模型检测结果的正确性。

原文摘要 · Abstract (English)

We present an approach to unsolvability certification of temporal planning. Our approach is based on encoding the planning problem into a network of timed automata, and then using an efficient model checker on the network followed by a certificate checker to certify the output of the model checker. Our approach prioritises trustworthiness of the certification: we formally verify our implementation of the encoding to timed automata using the theorem prover Isabelle/HOL and we use an existing certificate checker (also formally verified in Isabelle/HOL) to certify the model checking result.

形式化验证规划求解时序自动机

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