Anti-chain based algorithms for timed/probabilistic refinement checking

Refinement checking answers the question on whether an implementation model is a refinement of a specification model, which is of great value for system verification. Some refinement relationships, e.g., trace refinement and failures/divergence refinement, have been recognized for different verifica...

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Bibliographic Details
Main Authors: Wang, Ting, Chen, Tieming, Liu, Yang, Wang, Ye
Other Authors: School of Computer Science and Engineering
Format: Article
Language:English
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/10356/140644
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Institution: Nanyang Technological University
Language: English
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Summary:Refinement checking answers the question on whether an implementation model is a refinement of a specification model, which is of great value for system verification. Some refinement relationships, e.g., trace refinement and failures/divergence refinement, have been recognized for different verification purposes. In general, refinement checking algorithms often rely on subset construction, which incurs in the state space explosion problem. Recently the anti-chain based approach has been suggested for trace refinement checking, and the results show a significant improvement. In this paper, we investigate the problems of applying the anti-chain approach to timed refinement checking (a timed implementation vs. a timed or untimed specification) and probabilistic refinement checking (a probabilistic implementation vs. a non-probabilistic specification), and show that the state space can be reduced considerably by employing the anti-chain approach. All the algorithms have been integrated into the model checking tool PAT, and the experiments have been conducted to show the efficiency of the application of anti-chains.