{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T17:58:13Z","timestamp":1698602293733},"reference-count":15,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":3238,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1998,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This paper presents a new method \u2010 which does not rely on the cut\u2010elimination theorem \u2010 for characterizing the provably total functions of certain intuitionistic subsystems of arithmetic. The new method hinges on a realizability argument within an infinitary language. We illustrate the method for the intuitionistic counterpart of Buss's theory <jats:italic>S<\/jats:italic><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/tex2gif-stack-1.gif\" xlink:title=\"urn:x-wiley:09425616:media:MALQ19980440202:tex2gif-stack-1\" \/>, and we briefly sketch it for the other levels of bounded arithmetic and for the theory I\u03a3<jats:sub>1<\/jats:sub>.<\/jats:p>","DOI":"10.1002\/malq.19980440202","type":"journal-article","created":{"date-parts":[[2007,5,31]],"date-time":"2007-05-31T02:47:19Z","timestamp":1180579639000},"page":"143-160","source":"Crossref","is-referenced-by-count":1,"title":["Extracting Algorithms from Intuitionistic Proofs"],"prefix":"10.1002","volume":"44","author":[{"given":"Fernando","family":"Ferreira","sequence":"first","affiliation":[]},{"given":"Ant\u00f3nio","family":"Marques","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-16486-3_91"},{"key":"e_1_2_1_3_2","unstructured":"Buss S. Bounded Arithmetic. PhD thesis Princeton University June 1985. A revision of this thesis was published by Bibliopolis Napoli1986."},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(93)90044-E"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-5203-4_4"},{"key":"e_1_2_1_6_2","volume-title":"Constructive Mathematics: An Introduction","author":"van Dalen D.","year":"1988"},{"key":"e_1_2_1_7_2","volume-title":"Elements of Intuitionism. Volume 2 of Oxford Logic Guides","author":"Dummett M.","year":"1977"},{"key":"e_1_2_1_8_2","unstructured":"Ferreira F. Polynomial Time Computable Arithmetic and Conservative Extensions. PhD thesis Pennsylvania State University December1988."},{"key":"e_1_2_1_9_2","volume-title":"Logic and Computation","author":"Ferreira F.","year":"1990"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-3466-1_9"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-22156-3"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.2307\/2275282"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511529948"},{"key":"e_1_2_1_14_2","volume-title":"Subrecursion. Functions and Hierarchies","author":"Rose H. E.","year":"1984"},{"key":"e_1_2_1_15_2","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0066744"},{"key":"e_1_2_1_16_2","article-title":"Fragments of HA based on \u22111\u2010induction","author":"Wehmeier K.","journal-title":"Archive for Math. Logic"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19980440202","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19980440202","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,28]],"date-time":"2023-10-28T12:22:19Z","timestamp":1698495739000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19980440202"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,1]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1998,1]]}},"alternative-id":["10.1002\/malq.19980440202"],"URL":"https:\/\/doi.org\/10.1002\/malq.19980440202","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,1]]}}}