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@InProceedings{DBLP:conf/sas/Ben-AmramDG19,
author = {Amir M. Ben{-}Amram and Jes{\'{u}}s J. Dom{\'{e}}nech and Samir Genaim},
booktitle = {Static Analysis - 26th International Symposium, {SAS} 2019, Porto, Portugal, October 8-11, 2019, Proceedings},
title = {Multiphase-Linear Ranking Functions and Their Relation to Recurrent Sets},
year = {2019},
editor = {Bor{-}Yuh Evan Chang},
pages = {459--480},
publisher = {Springer},
series = {Lecture Notes in Computer Science},
volume = {11822},
bibsource = {dblp computer science bibliography, https://dblp.org},
biburl = {https://dblp.org/rec/conf/sas/Ben-AmramDG19.bib},
doi = {10.1007/978-3-030-32304-2\_22},
timestamp = {Mon, 03 Jan 2022 22:21:24 +0100},
url = {https://doi.org/10.1007/978-3-030-32304-2\_22},
}
$x = u$\;
\lWhile{$1 \leq x \leq 3$}{
$x = x+1 \oplus_\frac{1}{2} x = x$
}
\lWhile{$y \geq 0$}{
$y = y-1 \oplus_\frac{1}{2} y = y$
}
$x = u$\,\;
\lWhile{$1 \leq x \leq 3$}{ $x = x+1 \oplus_\frac{1}{2} x = x$ }
\lWhile{$y \geq 0$}{ $y = y-1 \oplus_\frac{1}{2} y = y$ }
\newcommand{\pr}[0]{\textit{pr}}
\newcommand{\prSs}[0]{\textit{pr}_{\scheduler, s_0}}
\newcommand{\prSns}[0]{\textit{pr}_{\scheduler', s_0}}
\newcommand{\pr}[0]{\mathit{pr}}
\newcommand{\prSs}[0]{\mathit{pr}_{\scheduler, s_0}}
\newcommand{\prSns}[0]{\mathit{pr}_{\scheduler', s_0}}