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

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Title: Predicate Transformer Semantics for Hybrid Systems: Verification Components for Isabelle/HOL.
Authors: Huerta y Munive, Jonathan Julián1 jonathan.munive@di.ku.dk, Struth, Georg1
Source: Journal of Automated Reasoning. Feb2022, Vol. 66 Issue 1, p93-139. 47p.
Subjects: Hybrid systems, Invariant sets, Vector fields, Mathematical models, Mathematical analysis
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. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Automated Reasoning is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
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PubType: Academic Journal
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  Data: Predicate Transformer Semantics for Hybrid Systems: Verification Components for Isabelle/HOL.
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  Data: <searchLink fieldCode="DE" term="%22Hybrid+systems%22">Hybrid systems</searchLink><br /><searchLink fieldCode="DE" term="%22Invariant+sets%22">Invariant sets</searchLink><br /><searchLink fieldCode="DE" term="%22Vector+fields%22">Vector fields</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink>
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  Data: 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Journal of Automated Reasoning is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s10817-021-09607-x
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      – Code: eng
        Text: English
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      – SubjectFull: Hybrid systems
        Type: general
      – SubjectFull: Invariant sets
        Type: general
      – SubjectFull: Vector fields
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      – SubjectFull: Mathematical models
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      – SubjectFull: Mathematical analysis
        Type: general
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      – TitleFull: Predicate Transformer Semantics for Hybrid Systems: Verification Components for Isabelle/HOL.
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            NameFull: Huerta y Munive, Jonathan Julián
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              Text: Feb2022
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