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Predicate Transformer Semantics for Hybrid Systems: Verification Components for Isabelle/HOL

2019/09/12 by Munive, Jonathan Julián Huerta y, Struth, Georg
#FOS: Computer and information sciences #Logic in Computer Science (cs.LO)

paper · doi:10.48550/arxiv.1909.05618

Abstract

We present a semantic framework for the deductive verification of hybrid systems with Isabelle/HOL. It supports reasoning about the temporal evolutions of hybrid programs in the style of differential dynamic logic modelled by flows or invariant sets for vector fields. We introduce the semantic foundations of this framework and summarise their Isabelle formalisation as well as the resulting verification components. A series of simple examples shows our approach at work.

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