Internet Archive Scholar

An Efficient Synthesis Algorithm for Parametric Markov Chains Against Linear Time Properties [article]

Yong Li and Wanwei Liu and Andrea Turrini and Ernst Moritz Hahn and Lijun Zhang
<span title="2016-05-14">2016</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (222.6 kB)
https://web.archive.org/web/20200929153005/https://arxiv.org/pdf/1605.04400v1.pdf

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit <a rel="external noopener" href="https://arxiv.org/pdf/1605.04400v1.pdf">the original URL</a>. The file type is <code>application/pdf</code>.

In this paper, we propose an efficient algorithm for the parameter synthesis of PLTL formulas with respect to parametric Markov chains. The PLTL formula is translated to an almost fully partitioned B\"uchi automaton which is then composed with the parametric Markov chain. We then reduce the problem to solving an optimisation problem, allowing to decide the satisfaction of the formula using an SMT solver. The algorithm works also for interval Markov chains. The complexity is linear in the size
more &raquo; ... the Markov chain, and exponential in the size of the formula. We provide a prototype and show the efficiency of our approach on a number of benchmarks.
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1605.04400v1">arXiv:1605.04400v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pwquduxrvvdifekzku4ajj3dlq">fatcat:pwquduxrvvdifekzku4ajj3dlq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200929153005/https://arxiv.org/pdf/1605.04400v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/8d/6e/8d6e87405d84b21088137a43bb1cead7a1c33baf.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1605.04400v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>
Citation

Yong Li and Wanwei Liu and Andrea Turrini and Ernst Moritz Hahn and Lijun Zhang. "An Efficient Synthesis Algorithm for Parametric Markov Chains Against Linear Time Properties." arXiv (2016)