A Formal Link Between Response Time Analysis and Network Calculus - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2022

A Formal Link Between Response Time Analysis and Network Calculus

Abstract

Classical Response Time Analysis (RTA) and Network Calculus (NC) are two major formalisms used for the verification of real-time properties. We offer mathematical links between these two different theories. Based on these links, we then prove the equivalence of various key notions in both frameworks. This enables specialists of both formalisms to get increase confidence on their models, or even, like the authors, to discover errors in theorems by investigating apparent discrepancies between some notions expected to be equivalent. The presented mathematical results are all mechanically checked with the interactive theorem prover Coq, building on existing formalizations of RTA and NC. Establishing such a link between NC and RTA paves the way for improved real-time analyses obtained by combining both theories to enjoy their respective strengths (e.g., multicore analyses for RTA or clock drifts for NC).
Fichier principal
Vignette du fichier
DTIS22153.pdf (410.72 Ko) Télécharger le fichier
Origin : Publication funded by an institution

Dates and versions

hal-03770727 , version 1 (20-09-2022)

Licence

Attribution

Identifiers

Cite

Pierre Roux, Sophie Quinton, Marc Boyer. A Formal Link Between Response Time Analysis and Network Calculus. ECRTS 2022 - 34th Euromicro Conference on Real-Time Systems, Jul 2022, Modene, Italy. ⟨10.4230/DARTS.8.1.3⟩. ⟨hal-03770727⟩
120 View
68 Download

Altmetric

Share

Gmail Facebook X LinkedIn More