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arXiv · 1909.02070

Correct-by-construction requirement decomposition

Minghui Sun·Georgios Bakirtzis·Hassan Jafarzadeh·Cody Fleming
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Abstract

In systems engineering, accurately decomposing requirements is crucial for creating well-defined and manageable system components, particularly in safety-critical domains. Despite the critical need, rigorous, top-down methodologies for effectively breaking down complex requirements into precise, actionable sub-requirements are scarce, especially compared to the wealth of bottom-up verification techniques. Addressing this gap, we introduce a formal decomposition for contract-based design that guarantees the correctness of decomposed requirements if specific conditions are met. Our (semi-)automated methodology augments contract-based design with reachability analysis and constraint programming to systematically identify, verify, and validate sub-requirements representable by continuous bounded sets -- continuous relations between real-valued inputs and outputs. We demonstrate the efficacy and practicality of a correct-by-construction approach through a comprehensive case study on a cruise control system, highlighting how our methodology improves the interpretability, tractability, and verifiability of system requirements.

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Minghui Sun, Georgios Bakirtzis, Hassan Jafarzadeh, Cody Fleming. 2019-09-04. Correct-by-construction requirement decomposition. https://doi.org/10.1007/s10270-025-01291-4

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