research-article

A program logic to verify signal temporal logic specifications of hybrid systems

Authors:

Jean-Baptiste JeanninAuthors Info & Claims

HSCC '21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control

Article No.: 10, Pages 1 - 11

https://doi.org/10.1145/3447928.3456648

Published: 19 May 2021 Publication History

Abstract

Signal temporal logic (STL) was introduced for monitoring temporal properties of continuous-time signals for continuous and hybrid systems. Differential dynamic logic (dL) was introduced to reason about the end states of a hybrid program. Over the past decade, STL and its variants have significantly gained in popularity in the industry for monitoring purposes, while dL has gained in popularity for verification of hybrid systems. In this paper, we bridge the gap between the two different logics by introducing signal temporal dynamic logic (STdL) - a dynamic logic that reasons about a subset of STL specifications over executions of hybrid systems. Our work demonstrates that STL can be used for deductive verification of hybrid systems. STdL significantly augments the expressiveness of dL by allowing reasoning about temporal properties in given time intervals. We provide a semantics and a proof calculus for STdL, along with a proof of soundness and relative completeness.

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Cited By

Cardona GKamale DVasile C(2025)STL and wSTL control synthesis: A disjunction-centric mixed-integer linear programming approachNonlinear Analysis: Hybrid Systems10.1016/j.nahs.2025.10157656(101576)Online publication date: May-2025
https://doi.org/10.1016/j.nahs.2025.101576
Lercher FAlthoff M(2024)Using Four-Valued Signal Temporal Logic for Incremental Verification of Hybrid SystemsComputer Aided Verification10.1007/978-3-031-65633-0_12(259-281)Online publication date: 24-Jul-2024
https://dl.acm.org/doi/10.1007/978-3-031-65633-0_12
Yao YSun JZhang Y(2023)Multitask Synthesis of Hybrid Systems via Temporal LogicIEEE Transactions on Automatic Control10.1109/TAC.2023.325034968:11(6883-6890)Online publication date: Nov-2023
https://doi.org/10.1109/TAC.2023.3250349

Index Terms

A program logic to verify signal temporal logic specifications of hybrid systems
1. Computer systems organization
  1. Embedded and cyber-physical systems
2. Theory of computation
  1. Logic
    1. Modal and temporal logics
    2. Programming logic

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cover image ACM Conferences

HSCC '21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control

May 2021

300 pages

ISBN:9781450383394

DOI:10.1145/3447928

Program Chairs:
Sergiy Bogomolov
Newcastle University, UK
,
Raphaël Jungers
UCLouvain, Belgium

Copyright © 2021 ACM.

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SIGBED: ACM Special Interest Group on Embedded Systems

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 19 May 2021

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Toyota Research Institute

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HSCC '21

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SIGBED

HSCC '21: 24th ACM International Conference on Hybrid Systems: Computation and Control

May 19 - 21, 2021

Tennessee, Nashville

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HSCC '21 Paper Acceptance Rate 27 of 77 submissions, 35%;

Overall Acceptance Rate 153 of 373 submissions, 41%

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Cited By

Cardona GKamale DVasile C(2025)STL and wSTL control synthesis: A disjunction-centric mixed-integer linear programming approachNonlinear Analysis: Hybrid Systems10.1016/j.nahs.2025.10157656(101576)Online publication date: May-2025
https://doi.org/10.1016/j.nahs.2025.101576
Lercher FAlthoff M(2024)Using Four-Valued Signal Temporal Logic for Incremental Verification of Hybrid SystemsComputer Aided Verification10.1007/978-3-031-65633-0_12(259-281)Online publication date: 24-Jul-2024
https://dl.acm.org/doi/10.1007/978-3-031-65633-0_12
Yao YSun JZhang Y(2023)Multitask Synthesis of Hybrid Systems via Temporal LogicIEEE Transactions on Automatic Control10.1109/TAC.2023.325034968:11(6883-6890)Online publication date: Nov-2023
https://doi.org/10.1109/TAC.2023.3250349

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