{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T06:10:52Z","timestamp":1698559852785},"reference-count":5,"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":3603,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1997,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In his 1953's paper, Grzegorczyk proved that a certain kind of relation classes of Grzegorczyk's hierarchy could be characterized inductively. We give a simpler version of this characterization.<\/jats:p>","DOI":"10.1002\/malq.19970430109","type":"journal-article","created":{"date-parts":[[2007,5,30]],"date-time":"2007-05-30T15:24:42Z","timestamp":1180538682000},"page":"73-77","source":"Crossref","is-referenced-by-count":0,"title":["Characterization of the Relations in Grzegorczyk's Hierarchy Revisited"],"prefix":"10.1002","volume":"43","author":[{"given":"Jean\u2010Sylvestre","family":"Gakwaya","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","unstructured":"Gakwaya J. S. La Hi\u00e9rarchie de Grzegorczyk. Univ. Mons\u2010Hainaut M\u00e9moire de licence en math\u00e9matiques juin1993."},{"key":"e_1_2_1_3_2","volume-title":"Some classes of recursive functions","author":"Grzegorczyk A.","year":"1953"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-36.2.193"},{"key":"e_1_2_1_5_2","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1090\/S0002-9947-1963-0158822-2","article-title":"Classes of predictably computable functions","volume":"106","author":"Ritchie R. W.","year":"1963","journal-title":"Trans. Amer. Math. Soc."},{"key":"e_1_2_1_6_2","volume-title":"Subrecursion, Functions and Hierarchies","author":"Rose H. E.","year":"1984"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19970430109","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19970430109","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,28]],"date-time":"2023-10-28T10:38:44Z","timestamp":1698489524000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19970430109"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,1]]},"references-count":5,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1997,1]]}},"alternative-id":["10.1002\/malq.19970430109"],"URL":"https:\/\/doi.org\/10.1002\/malq.19970430109","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,1]]}}}