Algebraic Quantitative Semantics for Efficient Online Temporal Monitoring

We investigate efficient algorithms for the online monitoring of properties written in metric temporal logic (MTL). We employ an abstract algebraic semantics based on semirings. It encompasses the Boolean semantics and a quantitative semantics capturing the robustness of satisfaction, which is based...

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Autores principales: Mamouras, Konstantinos, Chattopadhyay, Agnishom, Wang, Zhifu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7979233/
http://dx.doi.org/10.1007/978-3-030-72016-2_18
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author Mamouras, Konstantinos
Chattopadhyay, Agnishom
Wang, Zhifu
author_facet Mamouras, Konstantinos
Chattopadhyay, Agnishom
Wang, Zhifu
author_sort Mamouras, Konstantinos
collection PubMed
description We investigate efficient algorithms for the online monitoring of properties written in metric temporal logic (MTL). We employ an abstract algebraic semantics based on semirings. It encompasses the Boolean semantics and a quantitative semantics capturing the robustness of satisfaction, which is based on the max-min semiring over the extended real numbers. We provide a precise equational characterization of the class of semirings for which our semantics can be viewed as an approximation to an alternative semantics that quantifies the distance of a system trace from the set of all traces that satisfy the desired property.
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spelling pubmed-79792332021-03-23 Algebraic Quantitative Semantics for Efficient Online Temporal Monitoring Mamouras, Konstantinos Chattopadhyay, Agnishom Wang, Zhifu Tools and Algorithms for the Construction and Analysis of Systems Article We investigate efficient algorithms for the online monitoring of properties written in metric temporal logic (MTL). We employ an abstract algebraic semantics based on semirings. It encompasses the Boolean semantics and a quantitative semantics capturing the robustness of satisfaction, which is based on the max-min semiring over the extended real numbers. We provide a precise equational characterization of the class of semirings for which our semantics can be viewed as an approximation to an alternative semantics that quantifies the distance of a system trace from the set of all traces that satisfy the desired property. 2021-03-01 /pmc/articles/PMC7979233/ http://dx.doi.org/10.1007/978-3-030-72016-2_18 Text en © The Author(s) 2021 Open Access This chapter is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this chapter are included in the chapter's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the chapter's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
spellingShingle Article
Mamouras, Konstantinos
Chattopadhyay, Agnishom
Wang, Zhifu
Algebraic Quantitative Semantics for Efficient Online Temporal Monitoring
title Algebraic Quantitative Semantics for Efficient Online Temporal Monitoring
title_full Algebraic Quantitative Semantics for Efficient Online Temporal Monitoring
title_fullStr Algebraic Quantitative Semantics for Efficient Online Temporal Monitoring
title_full_unstemmed Algebraic Quantitative Semantics for Efficient Online Temporal Monitoring
title_short Algebraic Quantitative Semantics for Efficient Online Temporal Monitoring
title_sort algebraic quantitative semantics for efficient online temporal monitoring
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7979233/
http://dx.doi.org/10.1007/978-3-030-72016-2_18
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