Document Zbl 1145.68518

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Proceedings. Berlin: Springer (ISBN 978-3-540-74969-1/pbk). Lecture Notes in Computer Science 4741, 364-378 (2007). </div> <div class="abstract">Summary: This paper deals with the problem of solving efficiently structured CSPs. It is well known that (hyper)tree-decompositions offer the best approaches from a theoretical viewpoint, but from the practical viewpoint, these methods do not offer efficient algorithms. Therefore, we introduce here a framework founded on coverings of CSP by acyclic hypergraphs. We study their properties and relations, and evaluate theoretically their interest with respect to the solving of structured problems. This framework does not define a new decomposition, but makes easier a dynamic management of the CSP structure during the search, and so an exploitation of dynamic variables ordering heuristics in the solving method. Thus, we provide a new complexity result which outperforms significantly the previous one given in the literature about heuristics for solving a decomposed problem. Finally, we present experimental results to assess the practical interest of these notions.<br class="zbmathjax-paragraph">For the entire collection see [<a href="/1142.68007">Zbl 1142.68007</a>].</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A5318827">Cited in <strong>3</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A68T20" title="MSC2020">68T20</a> </td> <td class="space"> Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.) </td> </tr></table> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1145.68518" data-ciurl="/ci/05318827" data-biburl="/bibtex/05318827.bib" data-amsurl="/amsrefs/05318827.bib" data-xmlurl="/xml/05318827.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05318827.pdf" title="Zbl 1145.68518 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-3-540-74970-7_27" aria-label="DOI for “Dynamic management of heuristics for solving structured CSPs”" title="10.1007/978-3-540-74970-7_27">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Rish, I.; Dechter, R., Resolution versus Search: Two Strategies for SAT, Journal of Automated Reasoning, 24, 225-275 (2000) · <a href="/0967.68147" class="nowrap">Zbl 0967.68147</a> · <a href="https://doi.org/10.1023/A:1006303512524" class="nowrap">doi:10.1023/A:1006303512524</a></td> </tr><tr> <td>[2]</td> <td class="space">Huang, J., Darwiche, A.: A structure-based variable ordering heuristic for SAT. 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In: Proceedings of ICTAI, pp. 542-548 (2004)</td> </tr><tr> <td>[4]</td> <td class="space">Dechter, R.; Pearl, J., Tree-Clustering for Constraint Networks, Artificial Intelligence, 38, 353-366 (1989) · <a href="/0665.68084" class="nowrap">Zbl 0665.68084</a> · <a href="https://doi.org/10.1016/0004-3702(89)90037-4" class="nowrap">doi:10.1016/0004-3702(89)90037-4</a></td> </tr><tr> <td>[5]</td> <td class="space">Dechter, R., Bucket Elimination: A Unifying Framework for Reasoning, Artificial Intelligence, 113, 1-2, 41-85 (1999) · <a href="/0939.68847" class="nowrap">Zbl 0939.68847</a> · <a href="https://doi.org/10.1016/S0004-3702(99)00059-4" class="nowrap">doi:10.1016/S0004-3702(99)00059-4</a></td> </tr><tr> <td>[6]</td> <td class="space">Darwiche, A., Recursive conditioning, Artificial Intelligence, 126, 5-41 (2001) · <a href="/0969.68150" class="nowrap">Zbl 0969.68150</a> · <a href="https://doi.org/10.1016/S0004-3702(00)00069-2" class="nowrap">doi:10.1016/S0004-3702(00)00069-2</a></td> </tr><tr> <td>[7]</td> <td class="space">Beeri, C.; Fagin, R.; Maier, D.; Yannakakis, M., On the desirability of acyclic database schemes, J. 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In: Proc. of ECAI, pp. 138-142 (2006)</td> </tr><tr> <td>[18]</td> <td class="space">Jégou, P., Ndiaye, S.N., Terrioux, C.: Dynamic Heuristics for Backtrack Search on Tree-Decomposition of CSPs. In: Proc. of IJCAI, pp. 112-117 (2007) · <a href="/1145.68518" class="nowrap">Zbl 1145.68518</a></td> </tr><tr> <td>[19]</td> <td class="space">Dechter, R., Constraint processing (2003), San Francisco: Morgan Kaufmann, San Francisco</td> </tr><tr> <td>[20]</td> <td class="space">Sachenbacher, M., Williams, B.C.: Bounded Search and Symbolic Inference for Constraint Optimization. In: Proc. of IJCAI, pp. 286-291 (2005)</td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching. </div> </div></article> </div></div> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>

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