Real-time MTL with durations as SMT with applications to schedulability analysis

Detalhes bibliográficos
Autor(a) principal: Pedro, André de Matos
Data de Publicação: 2020
Outros Autores: Leucker, Martin, Pereira, David, Pinto, Jorge Sousa
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/1822/68771
Resumo: This paper introduces a synthesis procedure for the satisfiability problem of RMTL-D formulas as SAT solving modulo theories. RMTL-D is a real-time version of metric temporal logic (MTL) extended by a duration quantifier allowing to measure time durations. For any given formula, a SAT instance modulo the theory of arrays, uninterpreted functions with equality and non-linear real-arithmetic is synthesized and may then be further investigated using appropriate SMT solvers. We show the benefits of using RMTL-D with the given SMT encoding on a diversified set of examples that include in particular its application in the area of schedulability analysis. Therefore, we introduce a simple language for formalizing schedulability problems and show how to formulate timing constraints as RMTL-D formulas. Our practical evaluation based on our synthesis and Z3 as back-end SMT solver also shows the feasibility of the overall approach.
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spelling Real-time MTL with durations as SMT with applications to schedulability analysismetric temporal logicschedulability analysisconstraint programmingsatisfiability modulo theoriessatisfiabilily modulo theoriesEngenharia e Tecnologia::Engenharia Eletrotécnica, Eletrónica e InformáticaScience & TechnologyThis paper introduces a synthesis procedure for the satisfiability problem of RMTL-D formulas as SAT solving modulo theories. RMTL-D is a real-time version of metric temporal logic (MTL) extended by a duration quantifier allowing to measure time durations. For any given formula, a SAT instance modulo the theory of arrays, uninterpreted functions with equality and non-linear real-arithmetic is synthesized and may then be further investigated using appropriate SMT solvers. We show the benefits of using RMTL-D with the given SMT encoding on a diversified set of examples that include in particular its application in the area of schedulability analysis. Therefore, we introduce a simple language for formalizing schedulability problems and show how to formulate timing constraints as RMTL-D formulas. Our practical evaluation based on our synthesis and Z3 as back-end SMT solver also shows the feasibility of the overall approach.This work was partially supported by BMVI project IHATEC / SecurePort; by National Funds through FCT/M- CTES (Portuguese Foundation for Science and Technology), within the CISTER Research Unit (UID/CEC/04234) and the INESC TEC (UIDB/50014/2020); also by the Norte Portugal Regional Operational Programme (NORTE 2020) under the Portugal 2020 Partnership Agreement, through the European Regional Development Fund (ERDF) and also by national funds through the FCT, within project NORTE-01-0145- FEDER-028550 (REASSURE).Institute of Electrical and Electronics Engineers (IEEE)Universidade do MinhoPedro, André de MatosLeucker, MartinPereira, DavidPinto, Jorge Sousa2020-122020-12-01T00:00:00Zconference paperinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/1822/68771eng978-1-7281-4086-510.1109/TASE49443.2020.00016https://ieeexplore.ieee.org/xpl/conhome/1001758/all-proceedingsinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T06:07:55Zoai:repositorium.sdum.uminho.pt:1822/68771Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:42:02.086902Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Real-time MTL with durations as SMT with applications to schedulability analysis
title Real-time MTL with durations as SMT with applications to schedulability analysis
spellingShingle Real-time MTL with durations as SMT with applications to schedulability analysis
Pedro, André de Matos
metric temporal logic
schedulability analysis
constraint programming
satisfiability modulo theories
satisfiabilily modulo theories
Engenharia e Tecnologia::Engenharia Eletrotécnica, Eletrónica e Informática
Science & Technology
title_short Real-time MTL with durations as SMT with applications to schedulability analysis
title_full Real-time MTL with durations as SMT with applications to schedulability analysis
title_fullStr Real-time MTL with durations as SMT with applications to schedulability analysis
title_full_unstemmed Real-time MTL with durations as SMT with applications to schedulability analysis
title_sort Real-time MTL with durations as SMT with applications to schedulability analysis
author Pedro, André de Matos
author_facet Pedro, André de Matos
Leucker, Martin
Pereira, David
Pinto, Jorge Sousa
author_role author
author2 Leucker, Martin
Pereira, David
Pinto, Jorge Sousa
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Pedro, André de Matos
Leucker, Martin
Pereira, David
Pinto, Jorge Sousa
dc.subject.por.fl_str_mv metric temporal logic
schedulability analysis
constraint programming
satisfiability modulo theories
satisfiabilily modulo theories
Engenharia e Tecnologia::Engenharia Eletrotécnica, Eletrónica e Informática
Science & Technology
topic metric temporal logic
schedulability analysis
constraint programming
satisfiability modulo theories
satisfiabilily modulo theories
Engenharia e Tecnologia::Engenharia Eletrotécnica, Eletrónica e Informática
Science & Technology
description This paper introduces a synthesis procedure for the satisfiability problem of RMTL-D formulas as SAT solving modulo theories. RMTL-D is a real-time version of metric temporal logic (MTL) extended by a duration quantifier allowing to measure time durations. For any given formula, a SAT instance modulo the theory of arrays, uninterpreted functions with equality and non-linear real-arithmetic is synthesized and may then be further investigated using appropriate SMT solvers. We show the benefits of using RMTL-D with the given SMT encoding on a diversified set of examples that include in particular its application in the area of schedulability analysis. Therefore, we introduce a simple language for formalizing schedulability problems and show how to formulate timing constraints as RMTL-D formulas. Our practical evaluation based on our synthesis and Z3 as back-end SMT solver also shows the feasibility of the overall approach.
publishDate 2020
dc.date.none.fl_str_mv 2020-12
2020-12-01T00:00:00Z
dc.type.driver.fl_str_mv conference paper
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/68771
url http://hdl.handle.net/1822/68771
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 978-1-7281-4086-5
10.1109/TASE49443.2020.00016
https://ieeexplore.ieee.org/xpl/conhome/1001758/all-proceedings
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers (IEEE)
publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers (IEEE)
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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