{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,17]],"date-time":"2023-09-17T19:42:17Z","timestamp":1694979737794},"reference-count":12,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2018,7,18]],"date-time":"2018-07-18T00:00:00Z","timestamp":1531872000000},"content-version":"vor","delay-in-days":17,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2018,7]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We show that the well partial orderedness of the finite downwards closed subsets of <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201700040-math-0003.png\" xlink:title=\"urn:x-wiley:09425616:media:malq201700040:malq201700040-math-0003\" \/>, ordered by inclusion, is equivalent to the well foundedness of the ordinal <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201700040-math-0004.png\" xlink:title=\"urn:x-wiley:09425616:media:malq201700040:malq201700040-math-0004\" \/>. Since we use Friedman's adjacent Ramsey theorem for fixed dimensions in the upper bound, we also give a treatment of the reverse mathematical status of that theorem.<\/jats:p>","DOI":"10.1002\/malq.201700040","type":"journal-article","created":{"date-parts":[[2018,7,19]],"date-time":"2018-07-19T00:45:26Z","timestamp":1531961126000},"page":"178-182","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Reverse mathematics of the finite downwards closed subsets of  ordered by inclusion and adjacent Ramsey for fixed dimension"],"prefix":"10.1002","volume":"64","author":[{"given":"Florian","family":"Pelupessy","sequence":"first","affiliation":[{"name":"Mathematical Institute Tohoku University 6\u20103, Aoba, Aramaki, Aoba\u2010ku Sendai 980\u20108578 Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,7,18]]},"reference":[{"key":"e_1_2_5_2_1","volume-title":"The Theory of Partitions, Encyclopedia of Mathematics and its Applications","author":"Andrews G. E.","year":"1998"},{"key":"e_1_2_5_3_1","unstructured":"H. M.Friedman Adjacent Ramsey theory unpublished manuscript (2010)."},{"key":"e_1_2_5_4_1","doi-asserted-by":"publisher","DOI":"10.1090\/proc12759"},{"key":"e_1_2_5_5_1","doi-asserted-by":"publisher","DOI":"10.2307\/2268019"},{"key":"e_1_2_5_6_1","volume-title":"Metamathematics of First\u2010order Arithmetic","author":"H\u00e1jek P.","year":"1998"},{"key":"e_1_2_5_7_1","doi-asserted-by":"publisher","DOI":"10.1017\/jsl.2016.17"},{"key":"e_1_2_5_8_1","doi-asserted-by":"publisher","DOI":"10.2307\/2006985"},{"key":"e_1_2_5_9_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0219061316500045"},{"key":"e_1_2_5_10_1","unstructured":"F.Pelupessy On \u03b1\u2010largeness and the Paris\u2010Harrington principle inand unpublished manuscript (2016) arXiv:1611.08988."},{"key":"e_1_2_5_11_1","unstructured":"S. G.Simpson Comparingwithinduction unpublished manuscript (2015) arXiv:1508.02655."},{"key":"e_1_2_5_12_1","doi-asserted-by":"publisher","DOI":"10.2307\/2274585"},{"key":"e_1_2_5_13_1","volume-title":"Subsystems of Second Order Arithmetic","author":"Simpson S. G.","year":"2010"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.201700040","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.201700040","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,17]],"date-time":"2023-09-17T19:25:41Z","timestamp":1694978741000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.201700040"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,7]]},"references-count":12,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2018,7]]}},"alternative-id":["10.1002\/malq.201700040"],"URL":"https:\/\/doi.org\/10.1002\/malq.201700040","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,7]]},"assertion":[{"value":"2017-07-04","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2017-07-28","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2018-07-18","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}