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We study the classical problem of verifying programs with respect to formal specifications given in the linear temporal logic (LTL). We first present novel sound and complete witnesses for LTL verification over imperative programs. Our…

Virtual integration techniques focus on building architectural models of systems that can be analyzed early in the design cycle to try to lower cost, reduce risk, and improve quality of complex embedded systems. Given appropriate…

Software Engineering · Computer Science 2015-11-18 Andreas Katis , Andrew Gacek , Michael W. Whalen

The focus of this paper is on reducing the complexity in verification by exploiting modularity at various levels: in specification, in verification, and structurally. For specifications, we use the modular language CSP-OZ-DC, which allows…

Software Engineering · Computer Science 2015-05-20 Johannes Faber , Carsten Ihlemann , Swen Jacobs , Viorica Sofronie-Stokkermans

As simulation is increasingly used in scenario-based approaches to test Automated Driving Systems, the credibility of simulation results is a major concern. Arguably, credibility depends on the validity of the simulation setup and…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Niklas Braun , Markus Steimle , Martin Törngren , Markus Maurer

We present a simple and concise semantics for temporal planning. Our semantics are developed and formalised in the logic of the interactive theorem prover Isabelle/HOL. We derive from those semantics a validation algorithm for temporal…

Artificial Intelligence · Computer Science 2022-03-28 Mohammad Abdulaziz , Lukas Koller

This paper presents a novel approach to the design verification of Software Product Lines(SPL). The proposed approach assumes that the requirements and designs are modeled as finite state machines with variability information. The…

Software Engineering · Computer Science 2012-12-19 Jean-Vivien Millo , S. Ramesh , Shankara Narayanan Krishna , Ganesh Khandu Narwane

We present Isabellm, an LLM-powered theorem prover for Isabelle/HOL that performs fully automatic proof synthesis. Isabellm works with any local LLM on Ollama and APIs such as Gemini CLI, and it is designed to run on consumer grade…

Artificial Intelligence · Computer Science 2026-01-09 Zhe Hou

Synchronous systems provide a basic model of embedded systems and industrial systems are modeled as Simulink diagrams and/or Lustre programs. Although the test generation problem is critical in the development of safe systems, it often…

Software Engineering · Computer Science 2021-12-13 Daisuke Ishii , Takashi Tomita , Kenji Onishi , Toshiaki Aoki

{log} (read 'setlog') was born as a Constraint Logic Programming (CLP) language where sets and binary relations are first-class citizens, thus fostering set programming. Internally, {log} is a constraint satisfiability solver implementing…

Logic in Computer Science · Computer Science 2026-03-13 Maximiliano Cristiá , Alfredo Capozucca , Gianfranco Rossi

This informal contribution presents an ongoing line of research that is pursuing a new approach to the construction of sound proofs for the formal verification and control of complex stochastic models of dynamical systems, of reactive…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Alessandro Abate

Hybrid games model cyber-physical systems (CPS), like cars, trains, and airplanes, where discrete control decisions interact with continuous physical dynamics. We use Large Language Models (LLMs) to scale formal verification and synthesis…

Logic in Computer Science · Computer Science 2026-03-03 Aditi Kabra , Jonathan Laurent , Ruben Martins , Stefan Mitsch , André Platzer

A principled approach to the design of program verification and con- struction tools is applied to separation logic. The control flow is modelled by power series with convolution as separating conjunction. A generic construction lifts…

Logic in Computer Science · Computer Science 2014-10-17 Brijesh Dongol , Victor B. F. Gomes , Georg Struth

System development is not a linear, one-shot process. It proceeds through refinements and revisions. To support assurance that the system satisfies its requirements, it is desirable that continuous verification can be performed after each…

Logic in Computer Science · Computer Science 2018-11-28 Claudio Menghi , Alessandro Maria Rizzi , Anna Bernasconi

This paper presents the deductive formal verification of high-level properties of control systems with theorem proving, using the Why3 tool. Properties that can be verified with this approach include stability, feedback gain, and…

Systems and Control · Computer Science 2014-10-22 Dejanira Araiza-Illan , Kerstin Eder , Arthur Richards

Current approaches for formal verification of algorithms face important limitations. For specification, they cannot express algorithms naturally and concisely, especially for algorithms with states and flexible control flow. For…

Programming Languages · Computer Science 2025-05-01 Chengxi Yang , Shushu Wu , Qinxiang Cao

The need for rigorous process composition is encountered in many situations pertaining to the development and analysis of complex systems. We discuss the use of Classical Linear Logic (CLL) for correct-by-construction resource-based process…

Logic in Computer Science · Computer Science 2018-08-20 Petros Papapanagiotou , Jacques Fleuriot

In this paper, we propose conformal inference based approach for statistical verification of CPS models. Cyber-physical systems (CPS) such as autonomous vehicles, avionic systems, and medical devices operate in highly uncertain…

Systems and Control · Electrical Eng. & Systems 2021-07-16 Chuchu Fan , Xin Qin , Yuan Xia , Aditya Zutshi , Jyotirmoy Deshmukh

Verification problems of programs written in various paradigms (such as imperative, logic, concurrent, functional, and object-oriented ones) can be reduced to problems of solving Horn clause constraints on predicate variables that represent…

Programming Languages · Computer Science 2016-10-24 Hiroshi Unno , Sho Torii

Automatic verification deals with the validation by means of computers of correctness certificates. The related tools, usually called proof assistants or interactive provers, provide an interactive environment for the creation of formal…

Logic in Computer Science · Computer Science 2017-01-16 Andrea Asperti

Software testing plays a critical role in ensuring that systems behave as intended. However, existing automated testing approaches struggle to match the capabilities of human engineers due to key limitations such as test locality, lack of…

Software Engineering · Computer Science 2025-06-16 Kangping Xu , Yifan Luo , Yang Yuan , Andrew Chi-Chih Yao