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Our method relies on a new approach to subrecursion due to Buchholz, Cichon and the author.<\/jats:p>","DOI":"10.2307\/2275597","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T18:57:36Z","timestamp":1146941856000},"page":"52-69","source":"Crossref","is-referenced-by-count":16,"title":["How to characterize provably total functions by local predicativity"],"prefix":"10.1017","volume":"61","author":[{"given":"Andreas","family":"Weiermann","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200017631_ref016","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(85)90030-2"},{"key":"S0022481200017631_ref014","volume-title":"Proof theory","author":"Sch\u00fctte"},{"key":"S0022481200017631_ref011","first-page":"251","volume-title":"Proof theory, Leeds 1990","author":"Rathjen"},{"key":"S0022481200017631_ref009","doi-asserted-by":"publisher","DOI":"10.1007\/BF01621474"},{"key":"S0022481200017631_ref004","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19940400212"},{"key":"S0022481200017631_ref006","unstructured":"Burr W. , Verschiedene Charakterisierungen der beweisbar rekursiven Funktionen von IEn+1 , Master's thesis , M\u00fcnster."},{"key":"S0022481200017631_ref021","doi-asserted-by":"publisher","DOI":"10.1007\/BF01387761"},{"key":"S0022481200017631_ref017","volume-title":"Proof theory","author":"Takeuti"},{"key":"S0022481200017631_ref001","unstructured":"Blankertz B. and Weiermann A. , A uniform approach for characterizing the provably total number-theoretic functions of KPM and (some of) its subsystems, preprint (submitted)."},{"key":"S0022481200017631_ref015","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19710170113"},{"key":"S0022481200017631_ref018","doi-asserted-by":"publisher","DOI":"10.1007\/BF01973619"},{"key":"S0022481200017631_ref003","first-page":"115","volume-title":"Proof theory, Leeds 1990","author":"Buchholz"},{"key":"S0022481200017631_ref019","first-page":"281","volume":"37","author":"Wainer","journal-title":"Ordinal recursion and a refinement of the ordinal recursive functions"},{"key":"S0022481200017631_ref012","doi-asserted-by":"publisher","DOI":"10.1007\/BF01621475"},{"key":"S0022481200017631_ref008","article-title":"Proof theory, an introduction","volume":"1407","author":"Pohlers","journal-title":"Springer Lecture Notes in Mathematics"},{"key":"S0022481200017631_ref002","doi-asserted-by":"publisher","DOI":"10.1007\/BF01621472"},{"key":"S0022481200017631_ref005","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/065\/891248"},{"key":"S0022481200017631_ref007","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(94)00003-L"},{"key":"S0022481200017631_ref013","volume-title":"Subrecursion: Functions and hierarchies","author":"Rose"},{"key":"S0022481200017631_ref020","volume-title":"Dissertation","author":"Weiermann"},{"key":"S0022481200017631_ref010","first-page":"115","volume-title":"Proof theory, Leeds 1990","author":"Pohlers"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200017631","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,13]],"date-time":"2019-05-13T15:06:49Z","timestamp":1557760009000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200017631\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,3]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1996,3]]}},"alternative-id":["S0022481200017631"],"URL":"https:\/\/doi.org\/10.2307\/2275597","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,3]]}}}