{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,28]],"date-time":"2023-09-28T15:13:02Z","timestamp":1695913982609},"reference-count":25,"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":5430,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1992,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We consider iterations of satisfaction classes and apply them to construct expansions of models of Peano arithmetic to models of A<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:MALQ19920380106:tex2gif-stack-1\" \/>|\u0394<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/tex2gif-stack-2.gif\" xlink:title=\"urn:x-wiley:09425616:media:MALQ19920380106:tex2gif-stack-2\" \/>+\u2211<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/tex2gif-stack-3.gif\" xlink:title=\"urn:x-wiley:09425616:media:MALQ19920380106:tex2gif-stack-3\" \/>\u2010AC. 1991 MSC: 03F35, 03C62.<\/jats:p>","DOI":"10.1002\/malq.19920380106","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T05:46:03Z","timestamp":1180417563000},"page":"59-84","source":"Crossref","is-referenced-by-count":0,"title":["ITERATIONS OF SATISFACTION CLASSES AND MODELS OF PEANO ARITHMETIC"],"prefix":"10.1002","volume":"38","author":[{"given":"Roman","family":"Murawski","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(74)90001-1"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0080973"},{"key":"e_1_2_1_4_2","doi-asserted-by":"crossref","unstructured":"Gaifman H. A note on models and submodels of arithmetic. In: Proceedings of the Conference in Mathematical Logic London 1970 Springer Lecture Notes in Mathematics 255 (1972) 128\u2013144.","DOI":"10.1007\/BFb0059542"},{"key":"e_1_2_1_5_2","first-page":"187","article-title":"Fragments of Peano's arithmetic and the MRDP theorem","volume":"30","author":"Gaifman H.","year":"1982","journal-title":"L'Enseignement Math\u00e9matique"},{"key":"e_1_2_1_6_2","first-page":"223","article-title":"Some problems in elementary arithmetic, Fund","volume":"92","author":"Jensen D.","year":"1976","journal-title":"Math."},{"key":"e_1_2_1_7_2","unstructured":"Kirby L. Initial segments of models of arithmetic. Ph. D. Thesis Manchester University Manchester1971."},{"key":"e_1_2_1_8_2","doi-asserted-by":"crossref","first-page":"127","DOI":"10.4064\/fm-114-2-127-139","article-title":"Indicators, recursive saturation and expandability","volume":"114","author":"Kirby L.","year":"1981","journal-title":"Fund. Math."},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0067653"},{"key":"e_1_2_1_10_2","doi-asserted-by":"crossref","first-page":"205","DOI":"10.4064\/fm-120-3-205-222","article-title":"On elementary cuts in recursively saturated models of Peano arithmetic","volume":"12","author":"Kotlarski H.","year":"1984","journal-title":"Fund. Math."},{"key":"e_1_2_1_11_2","first-page":"531","article-title":"Bounded induction and satisfaction classes","volume":"32","author":"Kotlarski H.","year":"1986","journal-title":"This Zeitschrift"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0096898"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02123406"},{"key":"e_1_2_1_13_3","doi-asserted-by":"publisher","DOI":"10.1007\/BF02123407"},{"key":"e_1_2_1_13_4","doi-asserted-by":"publisher","DOI":"10.1007\/BF02121264"},{"key":"e_1_2_1_14_2","unstructured":"Murawski R. Models of Peano arithmetic expandable to models of fragments of second order arithmetic. Ph. D. Thesis Warsaw University Warsaw1978(in Polish)."},{"key":"e_1_2_1_15_2","first-page":"471","article-title":"Trace expansions of initial segments","volume":"30","author":"Murawski R.","year":"1984","journal-title":"This Zeitschrift"},{"key":"e_1_2_1_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01625830"},{"key":"e_1_2_1_17_2","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093637930"},{"key":"e_1_2_1_18_2","first-page":"265","article-title":"Some properties of the family of expansions to models of A|\u0394 + \u2211\u2010AC","volume":"37","author":"Murawski R.","year":"1991","journal-title":"This Zeitschrift"},{"key":"e_1_2_1_19_2","doi-asserted-by":"publisher","DOI":"10.2307\/2272817"},{"key":"e_1_2_1_20_2","volume-title":"Mathematical Logic","author":"Shoenfield J. R.","year":"1967"},{"key":"e_1_2_1_21_2","unstructured":"Smith S. T. Nonstandard syntax and semantics and full satisfaction classes for models of arithmetic. Ph. D. Thesis Yale University New Haven Connecticut1984."},{"key":"e_1_2_1_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0049-237X(08)71123-6"},{"key":"e_1_2_1_23_2","doi-asserted-by":"publisher","DOI":"10.2307\/2273620"},{"key":"e_1_2_1_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0049-237X(09)70160-0"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19920380106","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19920380106","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,27]],"date-time":"2023-09-27T20:34:49Z","timestamp":1695846889000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19920380106"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,1]]},"references-count":25,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1992,1]]}},"alternative-id":["10.1002\/malq.19920380106"],"URL":"https:\/\/doi.org\/10.1002\/malq.19920380106","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,1]]}}}