arXiv subjects

Christian Attiogbé

Publications and source records attributed to Christian Attiogbé.

7 recordsLinked to original sources

arXiv2025

Mechanizing Operads with Event-B

Rigorous modelling of natural and industrial systems still conveys various challenges related to abstractions, methods to proceed with and easy-to-use tools to build, compose and reason on models. Operads are mathematical structures that provide such abstractions to compose various objects and garanteeing well-formedness. Concrete implementations of operads will offer practical means to exploit operads and to use them for various technical applications. Going from the mathematical structures, we develop with Event-B a complete refinement chain that implements algebraic operads and their basic operations. The result of this work, can be used from the methodological point of view to handle similar implementations for symbolic computation questions, and also to reason on symbolic computation applications supported by operads structures.

cs.LO↗

arXiv2021

Multi-Facets Contract for Modeling and Verifying Heterogeneous Systems

Critical and cyber-physical systems (CPS) that exist in large industries, such as nuclear power plants, railway, automotive or aeronautical industries are complex heterogeneous systems. They are complex because they are open, perimeter-less, often built by assembling various heterogeneous and interacting components which are frequently reconfigured due to requirements. Consequently, the modeling and analysis of such systems is a challenge in software engineering. We introduce a new method for modeling and verifying heterogeneous systems. The method consists in: equipping individual components with generalized contract, ordering these contracts according to given facets, composing these components and verifying the resulting system with respect to the facets. We illustrate the use of the method by a case study. The proposed method may be extended to cover more facets, and by strengthening assistance tool through proactive aspects in modelling and property verification.

cs.SE↗

arXiv2019

Architectural Invariants and Correctness of IoT-based Systems

Internet of Things applications impact more and more industrial areas such as smart manufacturing, smart health monitoring and home automation; physical objects or devices equipped with sensors and actuators are interconnected and then controlled with software applications. Ensuring the correct construction, the well-functioning and the reliability of these applications constitute important issues for some of these applications which can be critical in case of dysfunction. We propose on the basis of the formal model of their common architectural properties, a generic framework for the formal modelling of IoT-based applications, the rigorous analysis of their consistency properties, their rigorous construction and evolution. Specific properties can be gradually added and checked. The proposed framework is then implemented and experimented using Event-B. We exploit the observation that the main requirements of the IoT-based physical architectures and control software are common to all IoT-based applications; this leaded us to the definition of the generic formal model together with invariant architectural and consistency properties. The proposed approach is generic, extensible, and can be profitably adapted to more general hybrid or cyber-physical systems. Our current implementation is independent of the formal model, it can be achieved in various other formal analysis environments.

cs.SE↗

arXiv2018

Building Correct SDN-Based Components from a Global Formal Mode

Software Defined Networking (SDN) brings flexibility in the construction and managment of distributed applications by reducing the constraints imposed by physical networks and by moving the control of networks closer to the applications. However mastering SDN still poses numerous challenges among which the design of correct SDN components (more specifically controller and switches). In this work we use a formal stepwise approach to model and reason on SDN. Although formal approaches have already been used in this area, this contribution is the first state-based approach; it is based on the Event-B formal method, and it enables a correct-by-construction of SDN components. We provide the steps to build, using several refinements, a global formal model of a SDN system; correct SDN components are then systematically built from the global formal model satisfying the desired properties. Event-B is used to experiment the approach.

cs.SE↗

arXiv2018

Modelling and Analysing the Landing Gear System: a Solution with Event-B/Rodin

This paper presents a solution to the landing gear system case study using Event-B and Rodin. We study the whole system (both the digital part and the controlled part). We use feature augmentation to build an abstract model of the whole system and structural refinement to detail more specifically the digital part. The required safety properties are formalised and proved. We propose a specific approach to deal with a family of reachability properties. The experimentations conducted during the study are supported by the Rodin tools. We show that the presented solution is systematic and it can be applied to similar case studies.

cs.SE↗

arXiv2011

Dynamic Composition of Evolving Process Types

Classical approaches like process algebras or labelled transition systems deal with static composition to model non-trivial concurrent or distributed systems; this is not sufficient for systems with dynamic architecture and with variable number of components. We introduce a method to guide the modelling and the dynamic composition of processes to build large distributed systems with dynamic adhoc architecture. The modelling and the composition are based on an event-based approach that favour the decoupling of the system components. The composition uses the sharing of abstract communication channels. The method is appropriate to deal with evolving processes (with mobility, mutation). The event-B method is used for practical support. A fauna and its evolution are considered as a working system; this system presents some specificities, its behaviour is not foreseeable, it has an adhoc (not statically fixed) architecture.

cs.SE↗

arXiv2010

Multilevel Contracts for Trusted Components

This article contributes to the design and the verification of trusted components and services. The contracts are declined at several levels to cover then different facets, such as component consistency, compatibility or correctness. The article introduces multilevel contracts and a design+verification process for handling and analysing these contracts in component models. The approach is implemented with the COSTO platform that supports the Kmelia component model. A case study illustrates the overall approach.

cs.SE↗