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Pipit on the Post: Proving Pre- and Post-Conditions of Reactive Systems

Authors Amos Robinson , Alex Potanin

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Amos Robinson
  • Sydney, Australia
Alex Potanin
  • Australian National University, Canberra, Australia

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Amos Robinson and Alex Potanin. Pipit on the Post: Proving Pre- and Post-Conditions of Reactive Systems. In 38th European Conference on Object-Oriented Programming (ECOOP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 313, pp. 34:1-34:28, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024) https://doi.org/10.4230/LIPIcs.ECOOP.2024.34

Abstract

Synchronous languages such as Lustre and Scade are used to implement safety-critical control systems; proving such programs correct and having the proved properties apply to the compiled code is therefore equally critical. We introduce Pipit, a small synchronous language embedded in F*, designed for verifying control systems and executing them in real-time. Pipit includes a verified translation to transition systems; by reusing F*’s existing proof automation, certain safety properties can be automatically proved by k-induction on the transition system. Pipit can also generate executable code in a subset of F* which is suitable for compilation and real-time execution on embedded devices. The executable code is deterministic and total and preserves the semantics of the original program.

Subject Classification

ACM Subject Classification
  • Computer systems organization → Real-time languages
  • Theory of computation → Program verification
  • Software and its engineering → Specialized application languages
Keywords
  • Lustre
  • streaming
  • reactive
  • verification

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