{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T22:53:18Z","timestamp":1725663198016},"publisher-location":"Berlin, Heidelberg","reference-count":13,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540514862"},{"type":"electronic","value":"9783540481768"}],"license":[{"start":{"date-parts":[[1989,1,1]],"date-time":"1989-01-01T00:00:00Z","timestamp":599616000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1989]]},"DOI":"10.1007\/3-540-51486-4_101","type":"book-chapter","created":{"date-parts":[[2012,2,25]],"date-time":"2012-02-25T20:59:28Z","timestamp":1330203568000},"page":"553-565","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Constructive aspects of the omega-rule : Application to proof systems in computer science and algorithmic logic"],"prefix":"10.1007","author":[{"given":"Serge","family":"Yoccoz","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2005,5,25]]},"reference":[{"key":"49_CR1","doi-asserted-by":"crossref","unstructured":":Barwise, J.: Infinitary Logics (in Modern Logic, Agazzi ed., Reidel, 1980)","DOI":"10.1007\/978-94-009-9056-2_6"},{"key":"49_CR2","doi-asserted-by":"crossref","unstructured":":Barwise, J. & Feferman, S. eds: Model-theoretic Logics (Springer-Verlag, 1988)","DOI":"10.7551\/mitpress\/3072.003.0008"},{"key":"49_CR3","unstructured":":Darondeau,P, & Yoccoz,S.: Proof systems for Infinite Behaviours (to appear in Information and Computation)"},{"key":"49_CR4","unstructured":":Girard, J.Y.: Proof Theory and Logical Complexity (Bibliopolis, 1987)"},{"key":"49_CR5","unstructured":":Goldblatt,: Axiomatizing the Logic of Computer Programming (Springer-Verlag, LNCS 130,1982)"},{"key":"49_CR6","doi-asserted-by":"crossref","unstructured":":Grzegorczyk,A., Mostowski, A. & Ryll-Nardzewski, C.: The classical and \u03c9-complete arithmetic (Journal of Symbolic Logic 23, 1958)","DOI":"10.2307\/2964398"},{"key":"49_CR7","doi-asserted-by":"crossref","unstructured":":Kreisel,G., Mints,G. & Simpson,S.: The use of abstract language in elementary mathematics: some pedagogic examples (Logic Colloquium, Boston, Springer-Verlag LNM 453, 1975)","DOI":"10.1007\/BFb0064871"},{"key":"49_CR8","doi-asserted-by":"crossref","unstructured":":Lopez-Escobar,: Infinite Rules in Finite Systems (in Non-classical Logics, Model Theory and Computability, Arruda, Da Costa and Chuaqui eds, North-Holland Studies in Logic 89, 1977)","DOI":"10.1016\/S0049-237X(08)70646-3"},{"key":"49_CR9","unstructured":":Mirkowska, G. & Salwicki,A.: Algorithmic Logic (Reidel, 1987)"},{"key":"49_CR10","unstructured":":Rogers,H.Jr: Theory of recursive functions and effective computability (McGraw-Hill, 1967)"},{"key":"49_CR11","doi-asserted-by":"crossref","unstructured":":Sch\u00fctte, K.: Proof Theory (Springer-Verlag, 1977)","DOI":"10.1007\/978-3-642-66473-1"},{"key":"49_CR12","doi-asserted-by":"crossref","unstructured":":Takahashi,: A theorem on the second order arithmetic with the \u03c9-rule (Journal of the Mathematical Society of Japan 22, 1970)","DOI":"10.2969\/jmsj\/02210015"},{"key":"49_CR13","unstructured":":Yoccoz,S.: Constructive aspects of the \u03c9-rule: part 1 (Universit\u00e9 de Bordeaux 1, Internal Report, May 1989)"}],"container-title":["Lecture Notes in Computer Science","Mathematical Foundations of Computer Science 1989"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-51486-4_101","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,20]],"date-time":"2024-04-20T13:18:48Z","timestamp":1713619128000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-51486-4_101"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989]]},"ISBN":["9783540514862","9783540481768"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/3-540-51486-4_101","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[1989]]},"assertion":[{"value":"25 May 2005","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}