4 papers
Refined Barrier Conditions for Finite-Time Safety and Reach-Avoid Guarantees in Stochastic Systems
Bai Xue, Luke Ong, Dominik Wagner +1
Providing finite-time probabilistic safety and reach-avoid guarantees is crucial for safety-critical stochastic systems. Existing state-of-the-art barrier methods often rely on a r…
Neural Theorem Proving for Verification Conditions: A Real-World Benchmark
Qiyuan Xu, Xiaokun Luan, Renxi Wang +5
Theorem proving is fundamental to program verification, where the automated proof of Verification Conditions (VCs) remains a primary bottleneck. Real-world program verification fre…
Comparative Analysis of Barrier-like Function Methods for Reach-Avoid Verification in Stochastic Discrete-Time Systems
Zhipeng Cao, Peixin Wang, Luke Ong +3
In this paper, we compare several representative barrier-like conditions from the literature for infinite-horizon reach-avoid verification of stochastic discrete-time systems. Our…
PCRLLM: Proof-Carrying Reasoning with Large Language Models under Stepwise Logical Constraints
Tangrui Li, Pei Wang, Hongzheng Wang Christian Hahm +2
Large Language Models (LLMs) often exhibit limited logical coherence, mapping premises to conclusions without adherence to explicit inference rules. We propose Proof-Carrying Reaso…