{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T10:09:50Z","timestamp":1760954990039},"reference-count":1,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":5430,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1992,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We shall prove here that any binary relation on a base <jats:italic>E<\/jats:italic> with cardinality <jats:italic>n<\/jats:italic> &gt; 6 is reconstructible from its restrictions of cardinality 2, 3, 4 and (<jats:italic>n<\/jats:italic> \u2010 1). This proof needs results of part I of this paper where we characterize any pair of relations <jats:italic>R<\/jats:italic>, <jats:italic>R<\/jats:italic>' which are 2\u2010, 3\u2010 and 4\u2010hypomorphic. As a corollary we obtain that any binary relation is (<jats:italic>n<\/jats:italic> \u2010 4)\u2010reconstructible (when <jats:italic>n<\/jats:italic> &gt; 9).<\/jats:p>","DOI":"10.1002\/malq.19920380111","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T05:45:23Z","timestamp":1180417523000},"page":"157-168","source":"Crossref","is-referenced-by-count":12,"title":["RECONSTRUCTION OF BINARY RELATIONS FROM THEIR RESTRICTIONS OF CARDINALITY 2, 3, 4 and (<i>n<\/i> \u2010 1) II"],"prefix":"10.1002","volume":"38","author":[{"given":"G\u00e9rard","family":"Lopez","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Claire","family":"Rauzy","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_1","first-page":"27","volume":"38","year":"1992","journal-title":"This Zeitschrift"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19920380111","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19920380111","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,27]],"date-time":"2023-09-27T20:35:37Z","timestamp":1695846937000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19920380111"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,1]]},"references-count":1,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1992,1]]}},"alternative-id":["10.1002\/malq.19920380111"],"URL":"https:\/\/doi.org\/10.1002\/malq.19920380111","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,1]]}}}