{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T21:10:31Z","timestamp":1706649031768},"reference-count":20,"publisher":"Duke University Press","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Notre Dame J. Formal Logic"],"published-print":{"date-parts":[[2012,1,1]]},"DOI":"10.1215\/00294527-1722728","type":"journal-article","created":{"date-parts":[[2012,11,8]],"date-time":"2012-11-08T14:20:17Z","timestamp":1352384417000},"source":"Crossref","is-referenced-by-count":0,"title":["Generic Expansions of Countable Models"],"prefix":"10.1215","volume":"53","author":[{"given":"Silvia","family":"Barbina","sequence":"first","affiliation":[]},{"given":"Domenico","family":"Zambella","sequence":"additional","affiliation":[]}],"member":"73","reference":[{"key":"1","doi-asserted-by":"publisher","unstructured":"[1] Baldwin, J. T., and S. Shelah, \u201cModel companions of $T_{\\mathrm{Aut}}$ for stable $T$,\u201d <i>Notre Dame Journal of Formal Logic<\/i>, vol. 42 (2001), pp. 129\u201342.","DOI":"10.1305\/ndjfl\/1063372196"},{"key":"2","doi-asserted-by":"publisher","unstructured":"[2] Barbina, S., and H. D. Macpherson, \u201cReconstruction of homogeneous relational structures,\u201d <i>Journal of Symbolic Logic<\/i>, vol. 72 (2007), pp. 792\u2013802.","DOI":"10.2178\/jsl\/1191333842"},{"key":"3","doi-asserted-by":"publisher","unstructured":"[3] Chatzidakis, Z., and E. Hrushovski, \u201cModel theory of difference fields,\u201d <i>Transactions of the American Mathematical Society<\/i>, vol. 351 (1999), pp. 2997\u20133071.","DOI":"10.1090\/S0002-9947-99-02498-8"},{"key":"4","doi-asserted-by":"publisher","unstructured":"[4] Chatzidakis Z., and A. Pillay, \u201cGeneric structures and simple theories,\u201d <i>Annals of Pure and Applied Logic<\/i>, vol. 95 (1998), pp. 71\u201392.","DOI":"10.1016\/S0168-0072(98)00021-9"},{"key":"5","unstructured":"[5] Hodges, W., <i>Building Models by Games<\/i>, vol. 2 of <i>London Mathematical Society Student Texts<\/i>, Cambridge University Press, Cambridge, 1985."},{"key":"6","unstructured":"[6] Hodges, W., <i>A Shorter Model Theory<\/i>, Cambridge University Press, Cambridge, 1997."},{"key":"7","doi-asserted-by":"publisher","unstructured":"[7] Hodges, W., I. Hodkinson, D. Lascar, and S. Shelah, \u201cThe small index property for $\\omega$-stable $\\omega$-categorical structures and for the random graph,\u201d <i>Journal of the London Mathematical Society (2)<\/i>, vol. 48 (1993), pp. 204\u201318.","DOI":"10.1112\/jlms\/s2-48.2.204"},{"key":"8","doi-asserted-by":"publisher","unstructured":"[8] Hrushovski, E., \u201cExtending partial isomorphisms of graphs,\u201d <i>Combinatorica<\/i>, vol. 12 (1992), pp. 411\u201316.","DOI":"10.1007\/BF01305233"},{"key":"9","doi-asserted-by":"publisher","unstructured":"[9] Ivanov, A. A., \u201cGeneric expansions of $\\omega$-categorical structures and semantics of generalized quantifiers,\u201d <i>Journal of Symbolic Logic<\/i>, vol. 64 (1999), pp. 775\u201389.","DOI":"10.2307\/2586500"},{"key":"10","doi-asserted-by":"publisher","unstructured":"[10] Kechris, A. S., and Ch. Rosendal, \u201cTurbulence, amalgamation, and generic automorphisms of homogeneous structures,\u201d <i>Proceedings of the London Mathematical Society (3)<\/i>, vol. 94 (2007), pp. 302\u201350.","DOI":"10.1112\/plms\/pdl007"},{"key":"11","doi-asserted-by":"publisher","unstructured":"[11] Kikyo, H., \u201cModel companions of theories with an automorphism,\u201d <i>Journal of Symbolic Logic<\/i>, vol. 65 (2000), pp. 1215\u201322.","DOI":"10.2307\/2586697"},{"key":"12","doi-asserted-by":"publisher","unstructured":"[12] Kikyo, H., and S. Shelah, \u201cThe strict order property and generic automorphisms,\u201d <i>Journal of Symbolic Logic<\/i>, vol. 67 (2002), pp. 214\u201316.","DOI":"10.2178\/jsl\/1190150038"},{"key":"13","unstructured":"[13] Kudaibergenov, K. Zh., and H. D. Macpherson, \u201cOn model companions for structures with an automorphism,\u201d <i>Siberian Advances in Mathematics<\/i>, vol. 16 (2006), pp. 63\u201378."},{"key":"14","doi-asserted-by":"publisher","unstructured":"[14] Lascar, D., \u201cAutour de la propri\u00e9t\u00e9 du petit indice,\u201d <i>Proceedings of the London Mathematical Society (3)<\/i>, vol. 62 (1991), pp. 25\u201353.","DOI":"10.1112\/plms\/s3-62.1.25"},{"key":"15","doi-asserted-by":"publisher","unstructured":"[15] Lascar, D., \u201cLes beaux automorphismes,\u201d <i>Archive for Mathematical Logic<\/i>, vol. 31 (1991), pp. 55\u201368.","DOI":"10.1007\/BF01370694"},{"key":"16","doi-asserted-by":"publisher","unstructured":"[16] Macpherson, H. D., and S. Thomas, \u201cComeagre conjugacy classes and free products with amalgamation,\u201d <i>Discrete Mathematics<\/i>, vol. 291 (2005), pp. 135\u201342.","DOI":"10.1016\/j.disc.2004.04.025"},{"key":"17","unstructured":"[17] Marker, D., <i>Model Theory: An Introduction<\/i>, vol. 217 of <i>Graduate Texts in Mathematics<\/i>, Springer, New York, 2002."},{"key":"18","doi-asserted-by":"publisher","unstructured":"[18] Rubin, M., \u201cOn the reconstruction of $\\aleph_{0}$-categorical structures from their automorphism groups,\u201d <i>Proceedings of the London Mathematical Society (3)<\/i>, vol. 69 (1992), pp. 225\u201349.","DOI":"10.1112\/plms\/s3-69.2.225"},{"key":"19","doi-asserted-by":"publisher","unstructured":"[19] Truss, J. K., \u201cGeneric automorphisms of homogeneous structures,\u201d <i>Proceedings of the London Mathematical Society (3)<\/i>, vol. 65 (1992), pp. 121\u201341.","DOI":"10.1112\/plms\/s3-65.1.121"},{"key":"20","doi-asserted-by":"publisher","unstructured":"[20] Truss, J. K., \u201cOn notions of genericity and mutual genericity,\u201d <i>Journal of Symbolic Logic<\/i>, vol. 72 (2007), pp. 755\u201366.","DOI":"10.2178\/jsl\/1191333840"}],"container-title":["Notre Dame Journal of Formal Logic"],"original-title":[],"link":[{"URL":"https:\/\/projecteuclid.org\/journalArticle\/Download?urlid=10.1215\/00294527-1722728","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T20:57:57Z","timestamp":1706648277000},"score":1,"resource":{"primary":{"URL":"https:\/\/projecteuclid.org\/journals\/notre-dame-journal-of-formal-logic\/volume-53\/issue-4\/Generic-Expansions-of-Countable-Models\/10.1215\/00294527-1722728.full"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,1,1]]},"references-count":20,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2012,1,1]]}},"URL":"https:\/\/doi.org\/10.1215\/00294527-1722728","relation":{},"ISSN":["0029-4527"],"issn-type":[{"value":"0029-4527","type":"print"}],"subject":[],"published":{"date-parts":[[2012,1,1]]}}}