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

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

doi:10.29007/7br2

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

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

Research output: Contribution to journal › Conference article in journal › Academic › peer-review

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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.

Original language	English
Pages (from-to)	39-70
Number of pages	32
Journal	EPiC Series in Computing
Volume	108
DOIs	https://doi.org/10.29007/7br2
Publication status	Published - 2025
Event	12th International Workshop on Applied Verification of Continuous and Hybrid Systems - Virtual, Online, Virtual Duration: 4 Jun 2025 → 4 Jun 2025 Conference number: 12 https://cps-vo.org/group/ARCH/Archive

Keywords

formal verification
hybrid systems
nonlinear systems
reachability analysis
theorem proving

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title = "ARCH-COMP25 Category Report: Continuous and Hybrid Systems with Nonlinear Dynamics",

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.",

keywords = "formal verification, hybrid systems, nonlinear systems, reachability analysis, theorem proving",

author = "Luca Geretti and Sandretto, \{Julien Alexandre Dit\} 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",

note = "Funding Information: Matthias Althoff and Maximilian Perschl acknowledge support by the German Research Foundation (DFG) project ConVeY under grant number GRK 2428. Julien Alexandre dit Sandretto and Joris Tillet acknowledge support from CIEDS (STARTS project). Luis Benet acknowledges support from PAPIIT-UNAM project IG-101122. Christian Schilling acknowledges support from the Independent Research Fund Denmark under reference number 10.46540/3120-00041B and the Villum Investigator Grant S4OS under reference number 37819. Publisher Copyright: {\textcopyright} 2025, EasyChair. All rights reserved.; 12th International Workshop on Applied Verification of Continuous and Hybrid Systems, ARCH 2025 ; Conference date: 04-06-2025 Through 04-06-2025",

year = "2025",

doi = "10.29007/7br2",

language = "English",

volume = "108",

pages = "39--70",

journal = "EPiC Series in Computing",

issn = "2398-7340",

publisher = "EasyChair",

url = "https://cps-vo.org/group/ARCH/Archive",

}

TY - JOUR

T1 - ARCH-COMP25 Category Report

T2 - 12th International Workshop on Applied Verification of Continuous and Hybrid Systems

AU - Geretti, Luca

AU - Sandretto, Julien Alexandre Dit

AU - Althoff, Matthias

AU - Benet, Luis

AU - Collins, Pieter

AU - Forets, Marcelo

AU - Mitsch, Stefan

AU - Patel, Ismail

AU - Perschl, Maximilian

AU - Schilling, Christian

AU - Tillet, Joris

N1 - Conference code: 12

PY - 2025

Y1 - 2025

N2 - 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.

AB - 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.

KW - formal verification

KW - hybrid systems

KW - nonlinear systems

KW - reachability analysis

KW - theorem proving

U2 - 10.29007/7br2

DO - 10.29007/7br2

M3 - Conference article in journal

SN - 2398-7340

VL - 108

SP - 39

EP - 70

JO - EPiC Series in Computing

JF - EPiC Series in Computing

Y2 - 4 June 2025 through 4 June 2025

ER -

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

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Keywords

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