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ARCH-COMP20 Category Report:Hybrid Systems Theorem Proving

22 pagesPublished: September 25, 2020


This paper reports on the Hybrid Systems Theorem Proving (HSTP) category in the ARCH-COMP Friendly Competition 2020. The characteristic features of the HSTP category remain as in the previous editions [MST+18, MST+19]: i) The flexibility of pro- gramming languages as structuring principles for hybrid systems, ii) The unambiguity and precision of program semantics, and iii) The mathematical rigor of logical reason- ing principles. The HSTP category especially features many nonlinear and parametric continuous and hybrid systems. Owing to the nature of theorem proving, HSTP again accommodates three modes: A) Automatic in which the entire verification is performed fully automatically without any additional input beyond the original hybrid system and its safety specification. H) Hints in which select proof hints are provided as part of the input problem specification, allowing users to communicate specific advice about the sys- tem such as loop invariants. S) Scripted in which a significant part of the verification is done with dedicated proof scripts or problem-specific proof tactics. This threefold split makes it possible to better identify the sources of scalability and efficiency bottlenecks in hybrid systems theorem proving. The existence of all three categories also makes it easier for new tools with a different focus to participate in the competition, wherever they focus on in the spectrum from fast proof checking all the way to full automation. The types of benchmarks considered and experimental findings with the participating theorem provers KeYmaera, KeYmaera X 4.6.3, KeYmaera X 4.8.0, Isabelle/HOL/Hybrid-Systems-VCs, and HHL Prover are described in this paper as well.

Keyphrases: benchmark, hybrid games, hybrid systems, nonlinear continuous systems, theorem proving

In: Goran Frehse and Matthias Althoff (editors). ARCH20. 7th International Workshop on Applied Verification of Continuous and Hybrid Systems (ARCH20), vol 74, pages 153--174

BibTeX entry
  author    = {Stefan Mitsch and Jonathan Juli\textbackslash{}'an Huerta Y Munive and Xiangyu Jin and Bohua Zhan and Shuling Wang and Naijun Zhan},
  title     = {ARCH-COMP20 Category Report:Hybrid Systems Theorem Proving},
  booktitle = {ARCH20. 7th International Workshop on Applied Verification of Continuous and Hybrid Systems (ARCH20)},
  editor    = {Goran Frehse and Matthias Althoff},
  series    = {EPiC Series in Computing},
  volume    = {74},
  pages     = {153--174},
  year      = {2020},
  publisher = {EasyChair},
  bibsource = {EasyChair,},
  issn      = {2398-7340},
  url       = {},
  doi       = {10.29007/bdq9}}
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