Differential Hoare Logics and Refinement Calculi for Hybrid Systems with Isabelle/HOL

Munive, Jonathan Huerta y, Struth, Georg and Foster, Simon David orcid.org/0000-0002-9889-9514 (2020) Differential Hoare Logics and Refinement Calculi for Hybrid Systems with Isabelle/HOL. In: 18th International Conference on Relational and Algebraic Methods in Computer Science (RAMiCS 2020). Lecture Notes in Computer Science . Springer .

Abstract

We present simple new Hoare logics and refinement calculi for hybrid systems in the style of differential dynamic logic. (Refinement) Kleene algebra with tests is used for reasoning about the program structure and generating verification conditions at this level. Lenses capture hybrid program stores in a generic algebraic way. The approach has been formalised with the Isabelle/HOL proof assistant. A number of examples explains the workflow with the resulting verification components.

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Proceedings Paper

Authors/Creators:

Munive, Jonathan Huerta y
Struth, Georg
Foster, Simon David https://orcid.org/0000-0002-9889-9514

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