Abstract
Context-awareness is an important feature in system design. We argue that in proof systems and conceptual modelling this notion should be precisely highlighted. Since we focus on conceptual modelling, understandability and clarity are provided precedence for reasoning about proofs done. In this paper, we introduce a new definition for proof context in state-based formalisms with an application in the Event-B modelling language. Furthermore, we introduce a dependency relation between two Event-B models. The contextualization of Event-B models is based on knowledge provided from domains that we classified into constraints, hypotheses and dependencies, according to their truthfulness in proofs. The dependency mechanism between two models makes possible to structure the development of systems models, by organizing phases identified in the analyzed process. These ideas are inspired by works based on the modelling of situations in situation theory that emphasize capabilities of type theory with regard to situation modelling to represent knowledge. Our approach is illustrated on small case studies, and have been validated on a development of design patterns for voting protocols.
This work was supported by grant ANR-13-INSE-0001 (The IMPEX Project http://impex.gforge.inria.fr) from the Agence Nationale de la Recherche (ANR).
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Notes
- 1.
A moment is an individual that existentially depends on other individuals.
- 2.
Leads to: Under the fairness assumptions L of the model \(\mathcal {M}\), the specification of the model \(\mathcal {S}pec(\mathcal {M})\) satisfies the property \(P \leadsto Q \), if for all traces
, the following property holds:
.
- 3.
We will talk, indifferently, about Event-B contexts or models in partonomic relation.
- 4.
In his work, Barlatier is interested only in the dependency-based “Part-Whole” relationships.
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Kherroubi, S., Méry, D. (2017). Contextualization and Dependency in State-Based Modelling - Application to Event-B. In: Ouhammou, Y., Ivanovic, M., Abelló, A., Bellatreche, L. (eds) Model and Data Engineering. MEDI 2017. Lecture Notes in Computer Science(), vol 10563. Springer, Cham. https://doi.org/10.1007/978-3-319-66854-3_11
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