{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T21:10:01Z","timestamp":1706649001555},"reference-count":8,"publisher":"Duke University Press","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Notre Dame J. Formal Logic"],"published-print":{"date-parts":[[2001,1,1]]},"DOI":"10.1305\/ndjfl\/1054301354","type":"journal-article","created":{"date-parts":[[2003,6,2]],"date-time":"2003-06-02T20:19:08Z","timestamp":1054585148000},"source":"Crossref","is-referenced-by-count":1,"title":["The Decidability of the $ \\forall^*\\exists$ Class and the Axiom of Foundation"],"prefix":"10.1215","volume":"42","author":[{"given":"Dorella","family":"Bell\u00e8","sequence":"first","affiliation":[]},{"given":"Franco","family":"Parlamento","sequence":"additional","affiliation":[]}],"member":"73","reference":[{"key":"1","unstructured":"Aczel, P., <i>Non-well-founded S<\/i>ets, CSLI Lecture Notes, CSLI, Stanford, 1988."},{"key":"2","doi-asserted-by":"publisher","unstructured":"Bell\u00e8, D., and F. Parlamento, \"Decidability and completeness for open formulas of membership theories\", <i>Notre Dame Journal of Formal Logic<\/i>, vol. 36 (1995), pp. 304\u201318.","DOI":"10.1305\/ndjfl\/1040248461"},{"key":"3","doi-asserted-by":"crossref","unstructured":"Bell\u00e8, D., and F. Parlamento, \"Undecidability in weak membership theories\", pp. 327\u201337 in <i>Logic and A<\/i>lgebra, Lecture Notes in Pure and Applied Mathematics, edited by A. Ursini and P. Aglian\u00f2, Dekker, New York, 1996.","DOI":"10.1201\/9780203748671-16"},{"key":"4","unstructured":"Lewis, H. R., <i>Unsolvable C<\/i>lasses of Quantificational Formulas, Addison-Wesley, 1979."},{"key":"5","doi-asserted-by":"publisher","unstructured":"Omodeo, E. G., F. Parlamento, and A. Policriti, \"Decidability of $\\exists\\sp *\\forall$\"-sentences in membership theories, <i>Mathematical Logic Quarterly<\/i>, vol. 42 (1996), pp. 41\u201358.","DOI":"10.1002\/malq.19960420105"},{"key":"6","doi-asserted-by":"publisher","unstructured":"Parlamento, F., A. Policriti, and K. P. S. B. Rao, \"Witnessing differences without redundancies\", <i>Proceedings of the American Mathematical Society<\/i>, vol. 125 (1997), pp. 587\u201394.","DOI":"10.1090\/S0002-9939-97-03630-7"},{"key":"7","doi-asserted-by":"crossref","unstructured":"Parlamento, F., and A. Policriti, \"Note on: `T\"he logically simplest form of the infinity axiom', <i>Proceedings of the American Mathematical Society<\/i>, vol. 108 (1990), pp. 285\u201386.","DOI":"10.2307\/2047726"},{"key":"8","doi-asserted-by":"publisher","unstructured":"Parlamento, F., and A. Policriti, \"Expressing infinity without foundation\", <i>The Journal of Symbolic Logic<\/i>, vol. 56 (1991), pp. 1230\u201335.","DOI":"10.2307\/2275470"}],"container-title":["Notre Dame Journal of Formal Logic"],"original-title":[],"link":[{"URL":"https:\/\/projecteuclid.org\/journalArticle\/Download?urlid=10.1305\/ndjfl\/1054301354","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T20:55:45Z","timestamp":1706648145000},"score":1,"resource":{"primary":{"URL":"https:\/\/projecteuclid.org\/journals\/notre-dame-journal-of-formal-logic\/volume-42\/issue-1\/The-Decidability-of-the--forallexists-Class-and-the-Axiom\/10.1305\/ndjfl\/1054301354.full"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,1,1]]},"references-count":8,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2001,1,1]]}},"URL":"https:\/\/doi.org\/10.1305\/ndjfl\/1054301354","relation":{},"ISSN":["0029-4527"],"issn-type":[{"value":"0029-4527","type":"print"}],"subject":[],"published":{"date-parts":[[2001,1,1]]}}}