{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T15:22:17Z","timestamp":1648999337842},"reference-count":11,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":5855,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1998,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>It has been known for more than thirty years that the degree of a non-standard model of true arithmetic is a subuniform upper bound for the arithmetic sets (suub). Here a notion of generic enumeration is presented with the property that the degree of such an enumeration is an suub but not the degree of a non-standard model of true arithmetic. This answers a question posed in the literature.<\/jats:p>","DOI":"10.2307\/2586587","type":"journal-article","created":{"date-parts":[[2006,4,18]],"date-time":"2006-04-18T18:43:03Z","timestamp":1145385783000},"page":"59-72","source":"Crossref","is-referenced-by-count":1,"title":["Models of arithmetic and subuniform bounds for the arithmetic sets"],"prefix":"10.1017","volume":"63","author":[{"given":"Alistair H.","family":"Lachlan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Robert I.","family":"Soare","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200015322_ref007","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(85)90001-6"},{"key":"S0022481200015322_ref006","first-page":"977","volume":"59","author":"Lachlan","year":"1994","journal-title":"Models of arithmetic and upper bounds for arithmetic sets"},{"key":"S0022481200015322_ref004","first-page":"182","volume-title":"Proceedings of the U.S.-Israel workshop on model theory in mathematical logic: Classification theory, Chicago, December 15\u201319, 1985","author":"Knight","year":"1987"},{"key":"S0022481200015322_ref005","first-page":"787","volume":"55","author":"Knight","year":"1990","journal-title":"A metatheorem for constructions by finitely many workers"},{"key":"S0022481200015322_ref003","first-page":"623","volume":"55","author":"Knight","year":"1983","journal-title":"Additive structure in uncountable models for a fixed completion of p"},{"key":"S0022481200015322_ref001","first-page":"159","volume":"22","author":"Friedberg","year":"1957","journal-title":"A criterion for completeness of degrees of unsolvability"},{"key":"S0022481200015322_ref010","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1090\/pspum\/005\/0141595","volume-title":"Recursive function theory: Proceedings ofsympos. in pure mathematics","volume":"5","author":"Scott","year":"1961"},{"key":"S0022481200015322_ref009","first-page":"233","volume-title":"Proceedings of the Herbrand symposium: Logic colloquium","author":"Marker","year":"1981"},{"key":"S0022481200015322_ref002","first-page":"425","volume":"49","author":"Knight","year":"1984","journal-title":"Two theorems on degrees of models of arithmetic"},{"key":"S0022481200015322_ref011","unstructured":"Solovay R. M. , Degrees of models of true arithmetic, preliminary version, unpublished manuscript, 1984."},{"key":"S0022481200015322_ref008","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1984-0732105-5"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200015322","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,11]],"date-time":"2019-05-11T19:03:43Z","timestamp":1557601423000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200015322\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,3]]},"references-count":11,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1998,3]]}},"alternative-id":["S0022481200015322"],"URL":"https:\/\/doi.org\/10.2307\/2586587","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,3]]}}}