Encoding Event-B Proof Rules in Prolog for ProB

We encoded over 600 Event-B proof rules in Prolog, enabling an interactive sequent prover with proof tree visualization in ProB. Ideal for teaching and

sábado, 25 de julio de 2026 • 3 min read • Q2BSTUDIO Team

Demostrador interactivo de secuentes con Prolog

Formal methods like Event-B provide a rigorous approach to verifying critical systems, based on predicate logic and set theory. The recent encoding of over 600 proof rules in Prolog for the ProB tool represents a significant advance in the accessibility and maintainability of these systems. Unlike previous Java implementations, the Prolog version is more compact and extensible, simplifying updates and customization. This approach not only benefits academia but also has deep implications for enterprise software development, where reliability is a differentiating factor. Companies like Q2BSTUDIO, specialized in custom software, can integrate these formal techniques to ensure the correctness of their solutions from the design stage.

The integration with ProB allows interactive visualization of proof trees, giving developers direct control over rule selection. This is particularly useful in educational settings, where students can understand step by step how a proof is constructed. Additionally, the tool exports results in multiple formats: traces to replay proofs in ProB, interactive HTML documents independent of the tool, and files compatible with the Rodin platform. This interoperability makes formal methods more practical in real workflows, where a team can review proofs without specialized software. For a development company like Q2BSTUDIO, this means being able to integrate formal verification into their process automation without friction.

The adoption of Prolog as the proof rule encoding language not only improves readability but also enables simple heuristics for an iterative deepening prover. Although still a prototype, it can already find short proofs automatically. This is a first step toward fast automatic provers that can compete with commercial solutions. In the context of artificial intelligence, these techniques are essential for verifying autonomous systems and AI agents. The ability to prove safety and correctness properties at design time reduces risks in critical applications such as autonomous driving or medical diagnosis, areas where Q2BSTUDIO could offer consulting and development services.

Cybersecurity also benefits from these formal methods. By modeling systems with Event-B, it is possible to prove that certain security properties, such as confidentiality or data integrity, hold. This is especially relevant for applications handling sensitive information. A company like Q2BSTUDIO, with expertise in cybersecurity, can combine formal proofs with pentesting to provide comprehensive assurance. Furthermore, formal verification helps comply with regulations like GDPR by demonstrating that systems behave as specified.

In the cloud domain, formally verified systems can be deployed on platforms such as AWS or Azure with greater confidence. Users of cloud AWS/Azure can integrate these models into their CI/CD pipelines, ensuring that every change meets defined invariants. Similarly, integration with Business Intelligence tools like Power BI allows monitoring system performance and generating dashboards that reflect verification status. Q2BSTUDIO, as a provider of BI / Power BI, can help companies connect their formal proof data with real-time control panels.

The flexibility of the Prolog-based approach also facilitates creating domain-specific proof rules. For example, in custom software development, rules can be coded to verify complex business properties. This reduces the need for exhaustive testing and speeds up the development cycle. Q2BSTUDIO leverages these capabilities to offer robust solutions tailored to each client's needs, combining formal methods with agile methodologies.

The future of fast automatic provers lies in improving heuristics and computational efficiency. The Event-B and ProB community is working on advanced search algorithms, and the Prolog implementation allows rapid iteration due to the interpreted nature of the language. For companies investing in R&D, like Q2BSTUDIO, this represents an opportunity to stay at the forefront of software verification. Adopting these tools can be a key factor in attracting clients who demand high quality standards.

In summary, encoding Event-B proof rules in Prolog for ProB is not just a technical advancement but opens new possibilities for the software industry. From teaching to enterprise development, through artificial intelligence, cybersecurity, and cloud computing, formal methods prove their worth. Companies like Q2BSTUDIO are ready to integrate these techniques into their custom software services, offering more reliable and secure solutions in an increasingly demanding market.

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