{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:36:05Z","timestamp":1753889765652,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2006,10,18]],"date-time":"2006-10-18T00:00:00Z","timestamp":1161129600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/assumed-1991-2003"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>&lt;i&gt;H&lt;\/i&gt; is the theory extending &amp;#946;-conversion by identifying all closed\nunsolvables. &lt;i&gt;H&lt;\/i&gt;&amp;#969; is the closure of this theory under the &amp;#969;-rule\n(and &amp;#946;-conversion). A long-standing conjecture of H. Barendregt states\nthat the provable equations of &lt;i&gt;H&lt;\/i&gt;&amp;#969; form\n&amp;#928;&lt;sub&gt;1&lt;\/sub&gt;&lt;sup&gt;1&lt;\/sup&gt;-complete set. Here we prove that conjecture.<\/jats:p>","DOI":"10.2168\/lmcs-2(4:5)2006","type":"journal-article","created":{"date-parts":[[2006,11,23]],"date-time":"2006-11-23T09:29:09Z","timestamp":1164274149000},"source":"Crossref","is-referenced-by-count":2,"title":["Solution of a Problem of Barendregt on Sensible lambda-Theories"],"prefix":"10.46298","volume":"Volume 2, Issue 4","author":[{"given":"Benedetto","family":"Intrigila","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Richard","family":"Statman","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"25203","published-online":{"date-parts":[[2006,10,18]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/lmcs.episciences.org\/2241\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/lmcs.episciences.org\/2241\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,11]],"date-time":"2023-04-11T20:10:29Z","timestamp":1681243829000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/2241"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,10,18]]},"references-count":0,"URL":"https:\/\/doi.org\/10.2168\/lmcs-2(4:5)2006","relation":{"is-same-as":[{"id-type":"arxiv","id":"cs\/0609080","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.cs\/0609080","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2006,10,18]]},"article-number":"2241"}}