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An Improved HHL Prover: An Interactive Theorem Prover for Hybrid Systems

  • Shuling Wang
  • Naijun Zhan
  • Liang Zou
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9407)

Abstract

Hybrid systems are integrations of discrete computation and continuous physical evolution. To guarantee the correctness of hybrid systems, formal techniques on modelling and verification of hybrid systems have been proposed. Hybrid CSP (HCSP) is an extension of CSP with differential equations and some forms of interruptions for modelling hybrid systems, and Hybrid Hoare logic (HHL) is an extension of Hoare logic for specifying and verifying hybrid systems that are modelled using HCSP. In this paper, we report an improved HHL prover, which is an interactive theorem prover based on Isabelle/HOL for verifying HCSP models. Compared with the prototypical release in [22], the new HHL prover realises the proof system of HHL as a shallow embedding in Isabelle/HOL, rather than deep embedding in [22]. In order to contrast the new HHL prover in shallow embedding and the old one in deep embedding, we demonstrate the use of both variants on the safety verification of a lunar lander case study.

Keywords

Model Check Hybrid System Inference Rule Verification Condition Proof Assistant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

This paper is supported partly by “973 Program” under grant No. 2014CB340701, by NSFC under grants 91118007 and 91418204, by CDZ project CAP (GZ 1023), and by the CAS/SAFEA International Partnership Program for Creative Research Teams.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.State Key Laboratory of Computer ScienceInstitute of Software, Chinese Academy of SciencesBeijingChina

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