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We present a post-region-based verification system for distributed hybrid systems modeled with Hybrid Active Objects. The post-region of a class method is the region of the state space where a physical process must be proven safe to ensure…

Programming Languages · Computer Science 2023-10-03 Eduard Kamburjan , Michael Lienhardt

We extend a semantic verification framework for hybrid systems with the Isabelle/HOL proof assistant by an algebraic model for hybrid program stores, a shallow expression model for hybrid programs and their correctness specifications, and…

Logic in Computer Science · Computer Science 2021-06-14 Simon Foster , Jonathan Julián Huerta y Munive , Mario Gleirscher , Georg Struth

Deductive verification of hybrid systems (HSs) increasingly attracts more attention in recent years because of its power and scalability, where a powerful specification logic for HSs is the cornerstone. Often, HSs are naturally modelled by…

Logic in Computer Science · Computer Science 2024-07-16 Naijun Zhan , Xiangyu Jin , Bohua Zhan , Shuling Wang , Dimitar Guelev

We study a proof methodology for verifying the safety of data invariants of highly-available distributed applications that replicate state. The proof is (1) modular: one can reason about each individual operation separately, and (2)…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-08 Sreeja Nair , Gustavo Petri , Marc Shapiro

We present a semantic framework for the deductive verification of hybrid systems with Isabelle/HOL. It supports reasoning about the temporal evolutions of hybrid programs in the style of differential dynamic logic modelled by flows or…

Logic in Computer Science · Computer Science 2021-09-21 Jonathan Julián Huerta y Munive , Georg Struth

Real world systems of interest often feature interactions between discrete and continuous dynamics. Various hybrid system formalisms have been used to model and analyze this combination of dynamics, ranging from mathematical descriptions,…

Logic in Computer Science · Computer Science 2021-09-22 Yong Kiam Tan , André Platzer

For the design and implementation of engineering systems, performing model-based analysis can disclose potential safety issues at an early stage. The analysis of hybrid system models is in general difficult due to the intrinsic complexity…

Systems and Control · Computer Science 2015-01-26 Yi Deng , Agung Julius

Hybrid systems with memory refer to dynamical systems exhibiting both hybrid and delay phenomena. While systems of this type are frequently encountered in many physical and engineering systems, particularly in control applications, various…

Optimization and Control · Mathematics 2017-02-13 Jun Liu , Andrew R. Teel

In this paper we give an overview of results on the analysis of parametric linear hybrid automata, and of systems of similar linear hybrid automata: We present possibilities of describing systems with a parametric (i.e. not explicitly…

Logic in Computer Science · Computer Science 2025-05-15 Viorica Sofronie-Stokkermans , Philipp Marohn

A common technique for verifying the safety of complex systems is the inductive invariant method. Inductive invariants are inductive formulas that overapproximate the reachable states of a system and imply a desired safety property.…

Logic in Computer Science · Computer Science 2025-09-09 Ian Dardik , Eunsuk Kang

This work establishes fundamental principles for verifying contract for interconnected hybrid systems. When system's hybrid arcs conform to the contract for a certain duration but subsequently violate it, the composition of hybrid dynamical…

Systems and Control · Electrical Eng. & Systems 2024-05-14 Sadek Belamfedel Alaoui , Adnane Saoud

A hybrid model involves the cooperation of an interpretable model and a complex black box. At inference, any input of the hybrid model is assigned to either its interpretable or complex component based on a gating mechanism. The advantages…

Machine Learning · Computer Science 2023-03-09 Julien Ferry , Gabriel Laberge , Ulrich Aïvodji

The spread of autonomous systems into safety-critical areas has increased the demand for their formal verification, not only due to stronger certification requirements but also to public uncertainty over these new technologies. However, the…

Artificial Intelligence · Computer Science 2018-04-19 Maryam Kamali , Sven Linker , Michael Fisher

We combine quantified differential dynamic logic (QdL) for reasoning about the possible behavior of distributed hybrid systems with temporal logic for reasoning about the temporal behavior during their operation. Our logic supports…

Logic in Computer Science · Computer Science 2012-07-12 Ping Hou

We propose a general framework to allow: (a) specifying the operational semantics of a programming language; and (b) stating and proving properties about program correctness. Our framework is based on a many-sorted system of hybrid modal…

Logic in Computer Science · Computer Science 2025-12-01 Ioana Leustean , Natalia Moanga , Traian Florin Serbanuta

Many practical engineering systems and their components have multiple performance levels and failure modes. If these systems form a monotonically increasing structure function (system model) with respect to the performance of their…

Logic in Computer Science · Computer Science 2021-12-28 Shahid Ali Murtza , Waqar Ahmed , Adnan Rashid , Osman Hasan

Reactive systems are composed of a well defined set of input events that the system reacts with by executing an associated handler to each event. In concurrent environments, event handlers can interact with the execution of other programs…

Software Engineering · Computer Science 2018-10-19 Yongwang Zhao , David Sanan , Fuyuan Zhang , Yang Liu

The compositional approach is important for reasoning about large and complex systems. In this work, we address synchronous systems with hierarchical structures, which are often used to model cyber-physical systems. We revisit the theory of…

Software Engineering · Computer Science 2024-03-19 Daisuke Ishii

Abstract interpretation has been shown to be a promising technique for the thread-modular verification of concurrent programs. Central to this is the generation of interferences, in the form of rely-guarantee conditions, conforming to a…

Logic in Computer Science · Computer Science 2026-02-20 James Tobler , Graeme Smith

We present a tool for verification of hybrid systems expressed in the sequential fragment of HCSP (Hybrid Communicating Sequential Processes). The tool permits annotating HCSP programs with pre- and postconditions, invariants, and proof…

Logic in Computer Science · Computer Science 2023-02-22 Huanhuan Sheng , Alexander Bentkamp , Bohua Zhan
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