{"title":"Fossil 2.0: Design, usage and impact of a software tool for verification and control of dynamical models","authors":"Alec Edwards , Andrea Peruffo , Alessandro Abate","doi":"10.1016/j.scico.2025.103354","DOIUrl":null,"url":null,"abstract":"<div><div>This paper introduces <span>Fossil</span> 2.0, an advanced software tool designed for synthesizing certificates such as Lyapunov and barrier functions for dynamical systems represented by ordinary differential equations and difference equations. <span>Fossil</span> 2.0 features a range of significant enhancements, including improved user interfaces, an expanded library of certificates, controller synthesis capabilities, and an extensible architecture. These advancements are detailed as part of this paper. The core of <span>Fossil</span> is a counterexample-guided inductive synthesis (CEGIS) framework that ensures soundness. The tool employs neural networks as templates to generate candidate functions, which are rigorously validated using a satisfiability modulo theories (SMT) solver. Key improvements over the previous release include support for a broader class of certificates, integration of control law synthesis, and compatibility with discrete-time models.</div></div>","PeriodicalId":49561,"journal":{"name":"Science of Computer Programming","volume":"247 ","pages":"Article 103354"},"PeriodicalIF":1.5000,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science of Computer Programming","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167642325000930","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, SOFTWARE ENGINEERING","Score":null,"Total":0}
引用次数: 0
Abstract
This paper introduces Fossil 2.0, an advanced software tool designed for synthesizing certificates such as Lyapunov and barrier functions for dynamical systems represented by ordinary differential equations and difference equations. Fossil 2.0 features a range of significant enhancements, including improved user interfaces, an expanded library of certificates, controller synthesis capabilities, and an extensible architecture. These advancements are detailed as part of this paper. The core of Fossil is a counterexample-guided inductive synthesis (CEGIS) framework that ensures soundness. The tool employs neural networks as templates to generate candidate functions, which are rigorously validated using a satisfiability modulo theories (SMT) solver. Key improvements over the previous release include support for a broader class of certificates, integration of control law synthesis, and compatibility with discrete-time models.
期刊介绍:
Science of Computer Programming is dedicated to the distribution of research results in the areas of software systems development, use and maintenance, including the software aspects of hardware design.
The journal has a wide scope ranging from the many facets of methodological foundations to the details of technical issues andthe aspects of industrial practice.
The subjects of interest to SCP cover the entire spectrum of methods for the entire life cycle of software systems, including
• Requirements, specification, design, validation, verification, coding, testing, maintenance, metrics and renovation of software;
• Design, implementation and evaluation of programming languages;
• Programming environments, development tools, visualisation and animation;
• Management of the development process;
• Human factors in software, software for social interaction, software for social computing;
• Cyber physical systems, and software for the interaction between the physical and the machine;
• Software aspects of infrastructure services, system administration, and network management.