{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T01:56:02Z","timestamp":1772243762396,"version":"3.50.1"},"reference-count":0,"publisher":"IOS Press","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009]]},"abstract":"<jats:p>In the last twenty years a significant amount of effort has been devoted to the study of randomly generated satisfiability instances. While a number of generative models have been proposed, uniformly random k-CNF formulas are by now the dominant and most studied model. One reason for this is that such formulas enjoy a number of intriguing mathematical properties, including the following: for each k&amp;ge;3, there is a critical value, rk, of the clauses-to-variables ratio, r, such that for r&amp;lt;rka random k-CNF formula is satisfiable with probability that tends to 1 as n&amp;rarr;&amp;infin;, while for r&amp;gt;rkit is unsatisfiable with probability that tends to 1 as n&amp;rarr;&amp;infin;.<\/jats:p>","DOI":"10.3233\/978-1-58603-929-5-245","type":"book-chapter","created":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T05:26:53Z","timestamp":1740115613000},"source":"Crossref","is-referenced-by-count":3,"title":["Random Satisfiability"],"prefix":"10.3233","author":[{"family":"Achlioptas Dimitris","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"7437","container-title":["Frontiers in Artificial Intelligence and Applications","Handbook of Satisfiability"],"original-title":[],"deposited":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T05:50:05Z","timestamp":1740117005000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.medra.org\/servlet\/aliasResolver?alias=iospressISSNISBN&issn=0922-6389&volume=185&spage=245"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"references-count":0,"URL":"https:\/\/doi.org\/10.3233\/978-1-58603-929-5-245","relation":{"is-cited-by":[{"id-type":"doi","id":"10.1007\/978-3-030-58475-7_21","asserted-by":"object"},{"id-type":"doi","id":"10.21468\/SciPostPhys.2.2.013","asserted-by":"object"}]},"ISSN":["0922-6389"],"issn-type":[{"value":"0922-6389","type":"print"}],"subject":[],"published":{"date-parts":[[2009]]}}}