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Formal verification of control systems' properties with theorem proving

Research output: Contribution to conferencePaper

Original languageEnglish
Number of pages6
DatePublished - 2014
Event2014 UKACC International Conference on Control - Loughborough, United Kingdom
Duration: 9 Jul 201411 Jul 2014


Conference2014 UKACC International Conference on Control
CountryUnited Kingdom


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 robustness, among others. For the systems, modelled in Simulink, we propose three main steps to achieve the verification: specifying the properties of interest over the signals within the model using Simulink blocks, an automatic translation of the model into Why3, and the automatic verification of the properties with theorem provers in Why3. We present a methodology to specify the properties in the model and a library of relevant assertion blocks (logic expressions), currently in development. The functionality of the blocks in the Simulink models are automatically translated to Why3 as ‘theories’ and verification goals by our tool implemented in MATLAB. A library of theories in Why3 corresponding to each supported block has been developed to facilitate the process of translation. The goals are automatically verified in Why3 with relevant theorem provers. A simple first-order discrete system is used to exemplify the specification of the Simulink model, the translation process from Simulink to the Why3 formal logic language, and the verification of Lyapunov stability.


2014 UKACC International Conference on Control

Duration9 Jul 201411 Jul 2014
CountryUnited Kingdom
Degree of recognitionInternational event

Event: Conference

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