ARCH-COMP25 Category Report: Continuous and Hybrid Systems with Nonlinear Dynamics

32 pages•Published: December 22, 2025

Luca Geretti, Julien Alexandre Dit Sandretto, Matthias Althoff, Luis Benet, Pieter Collins, Marcelo Forets, Stefan Mitsch, Ismail Patel, Maximilian Perschl, Christian Schilling and Joris Tillet

Abstract

We present the results of a friendly competition for formal verification of continuous and hybrid systems with nonlinear continuous dynamics. The friendly competition took place as part of the workshop Applied Verification for Continuous and Hybrid Systems (ARCH) in 2025. This year, 5 tools participated: Ariadne, CORA, DynIbex, JuliaReach and KeYmaera X (in alphabetic order). These tools are applied to solve reachability analysis problems on seven benchmark problems, three of them featuring some aspects of hybrid dynamics. We do not rank the tools based on the results, but show the current status and discover the potential advantages of different tools.

Keyphrases: formal verification, hybrid systems, nonlinear systems, reachability analysis, theorem proving

In: Goran Frehse and Matthias Althoff (editors). Proceedings of 12th Int. Workshop on Applied Verification for Continuous and Hybrid Systems, vol 108, pages 39-70.

Links:	https://easychair.org/publications/paper/m9FM
	https://doi.org/10.29007/7br2

BibTeX entry

@inproceedings{ARCH25:ARCH_COMP25_Category_Report,
  author    = {Luca Geretti and Julien Alexandre Dit Sandretto and Matthias Althoff and Luis Benet and Pieter Collins and Marcelo Forets and Stefan Mitsch and Ismail Patel and Maximilian Perschl and Christian Schilling and Joris Tillet},
  title     = {ARCH-COMP25 Category Report: Continuous and Hybrid Systems with Nonlinear Dynamics},
  booktitle = {Proceedings of 12th Int. Workshop on Applied Verification for Continuous and Hybrid Systems},
  editor    = {Goran Frehse and Matthias Althoff},
  series    = {EPiC Series in Computing},
  volume    = {108},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {/publications/paper/m9FM},
  doi       = {10.29007/7br2},
  pages     = {39-70},
  year      = {2025}}

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