Towards an Approximate Conformance Relation for Hybrid I/O Automata

Several notions of conformance have been proposed for checking the behavior of cyber-physical systems against their hybrid systems models. In this paper, we explore the initial idea of a notion of approximate conformance that allows for comparison of both observable discrete actions and (sampled) co...

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Main Authors: Morteza Mohaqeqi, Mohammad Reza Mousavi
Format: Article
Language:English
Published: Open Publishing Association 2016-12-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1612.04975v1
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author Morteza Mohaqeqi
Mohammad Reza Mousavi
author_facet Morteza Mohaqeqi
Mohammad Reza Mousavi
author_sort Morteza Mohaqeqi
collection DOAJ
description Several notions of conformance have been proposed for checking the behavior of cyber-physical systems against their hybrid systems models. In this paper, we explore the initial idea of a notion of approximate conformance that allows for comparison of both observable discrete actions and (sampled) continuous trajectories. As such, this notion will consolidate two earlier notions, namely the notion of Hybrid Input-Output Conformance (HIOCO) by M. van Osch and the notion of Hybrid Conformance by H. Abbas and G.E. Fainekos. We prove that our proposed notion of conformance satisfies a semi-transitivity property, which makes it suitable for a step-wise proof of conformance or refinement.
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spelling doaj.art-05fda192db724ea7a73f30456f05ffae2022-12-22T02:47:44ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802016-12-01232Proc. V2CPS-16536410.4204/EPTCS.232.8:3Towards an Approximate Conformance Relation for Hybrid I/O AutomataMorteza Mohaqeqi0Mohammad Reza Mousavi1 Department of Information Technology Uppsala University, Sweden Centre for Research on Embedded Systems, School of IT, Halmstad University, Sweden Several notions of conformance have been proposed for checking the behavior of cyber-physical systems against their hybrid systems models. In this paper, we explore the initial idea of a notion of approximate conformance that allows for comparison of both observable discrete actions and (sampled) continuous trajectories. As such, this notion will consolidate two earlier notions, namely the notion of Hybrid Input-Output Conformance (HIOCO) by M. van Osch and the notion of Hybrid Conformance by H. Abbas and G.E. Fainekos. We prove that our proposed notion of conformance satisfies a semi-transitivity property, which makes it suitable for a step-wise proof of conformance or refinement.http://arxiv.org/pdf/1612.04975v1
spellingShingle Morteza Mohaqeqi
Mohammad Reza Mousavi
Towards an Approximate Conformance Relation for Hybrid I/O Automata
Electronic Proceedings in Theoretical Computer Science
title Towards an Approximate Conformance Relation for Hybrid I/O Automata
title_full Towards an Approximate Conformance Relation for Hybrid I/O Automata
title_fullStr Towards an Approximate Conformance Relation for Hybrid I/O Automata
title_full_unstemmed Towards an Approximate Conformance Relation for Hybrid I/O Automata
title_short Towards an Approximate Conformance Relation for Hybrid I/O Automata
title_sort towards an approximate conformance relation for hybrid i o automata
url http://arxiv.org/pdf/1612.04975v1
work_keys_str_mv AT mortezamohaqeqi towardsanapproximateconformancerelationforhybridioautomata
AT mohammadrezamousavi towardsanapproximateconformancerelationforhybridioautomata