Abstract
While refinement can help structure the modeling and proving process, it also forces the modeler to introduce features in a particular order. This means that features deeper in the refinement chain cannot be validated in isolation, making some reasoning unnecessarily intricate. In this paper, we present the AVoiR (Abstraction-Validation Obligation-Refinement) framework to ease validation of such complex refinement chains. The triptych AVoiR framework operates as follows: 1) We first simplify a complex model by abstracting away the noise, i.e., removing the information unrelated to properties under analysis. 2) Using the Validation Obligations (VOs) technique, we formalize the validation tasks of the desired property. 3) Finally, we trickle down the validation results by establishing the noiseless model as a parent of the initially investigated model through the standard refinement relationship. Furthermore, by using the technique of VO refinement, we establish the VOs of the abstract model on the initial model. We use a case study from the aviation domain to show the proposed framework’s effectiveness.
The research presented in this paper has been conducted within the IVOIRE project, which is funded by “Deutsche Forschungsgemeinschaft” (DFG) and the Austrian Science Fund (FWF) grant # I 4744-N. The work of Sebastian Stock and Atif Mashkoor and Alexander Egyed has been partly funded by the LIT Secure and Correct Systems Lab sponsored by the province of Upper Austria.
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Notes
- 1.
Original case study code: https://github.com/hhu-stups/AMAN-case-study/.
- 2.
Code for this paper: https://github.com/hhu-stups/AMAN-abstraction-example.
- 3.
The whole example is available under https://figshare.com/articles/code/Abstraction_Examples/19786924/3.
- 4.
For full details, we refer to the files.
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Stock, S., Vu, F., Geleßus, D., Leuschel, M., Mashkoor, A., Egyed, A. (2023). Validation by Abstraction and Refinement. In: Glässer, U., Creissac Campos, J., Méry, D., Palanque, P. (eds) Rigorous State-Based Methods. ABZ 2023. Lecture Notes in Computer Science, vol 14010. Springer, Cham. https://doi.org/10.1007/978-3-031-33163-3_12
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