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Formally Verified Certification of Unsolvability of Temporal Planning Problems

2025/10/11 by David Wang, Wang, David, Mohammad Abdulaziz +1
Computer Science · #Formal Methods in Verification #AI-based Problem Solving and Planning #Logic, Reasoning, and Knowledge

paper · pdf · doi:10.48550/arxiv.2510.10189

Abstract

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.

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