Hybrid Systems Verification with Isabelle/HOL: Simpler Syntax, Better Models, Faster Proofs

Simon David Foster, Jonathan Huerta y Munive, Georg Struth, Mario Gleirscher

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We extend a semantic verification framework for hybrid systems with the Isabelle/HOL proof assistant by an algebraic model for hybrid program stores, a shallow expression model for hybrid programs and their correctness specifications, and domain-specific deductive and calculational support. The new store model yields clean separations and dynamic local views of variables, e.g. discrete/continuous, mutable/immutable, program/logical, and enhanced ways of manipulating them using combinators, projections and framing. This leads to more local inference rules, procedures and tactics for reasoning with invariant sets, certifying solutions of hybrid specifications or calculating derivatives with increased proof automation and scalability. The new expression model provides more user-friendly syntax, better control of name spaces and interfaces connecting the framework with real-world modelling languages.
Original languageEnglish
Title of host publication24th International Symposium on Formal Methods
Number of pages18
Publication statusAccepted/In press - 16 Jul 2021

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