{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,6]],"date-time":"2025-08-06T13:12:38Z","timestamp":1754485958744},"reference-count":6,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":2933,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2006,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A structure of finite signature is constructed so that: for all existential formulas <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200006496_inline1\" \/> and for all tuples of elements <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200006496_inline2\" \/> of the same length as the tuple <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200006496_inline3\" \/> one can decide in a quadratic time depending only on the length of the formula, if <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200006496_inline1\" \/> holds in the structure. In other words, the structure satisfies the relativized model-theoretic version of P=N P in the sense of [4]. This is a model-theoretical approach to results of Hemmerling and Ga\u00dfner.<\/jats:p>","DOI":"10.2178\/jsl\/1140641177","type":"journal-article","created":{"date-parts":[[2007,12,19]],"date-time":"2007-12-19T11:22:31Z","timestamp":1198063351000},"page":"321-328","source":"Crossref","is-referenced-by-count":3,"title":["Structure with fast elimination of quantifiers"],"prefix":"10.1017","volume":"71","author":[{"given":"Mihai","family":"Prunescu","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200006496_ref006","doi-asserted-by":"publisher","DOI":"10.1002\/1521-3870(200111)47:4<557::AID-MALQ557>3.0.CO;2-O"},{"key":"S0022481200006496_ref005","unstructured":"[5] Poizat Bruno , Une tentative malheureuse de construire une structure eliminant rapidement les quanteurs, Lecture Notes in Computer Science, vol. 1862, 2000, pp. 61\u201370."},{"key":"S0022481200006496_ref003","doi-asserted-by":"publisher","DOI":"10.2307\/2024634"},{"key":"S0022481200006496_ref004","volume-title":"Les petits cailloux","author":"Poizat","year":"1995"},{"key":"S0022481200006496_ref002","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2005.02.001"},{"key":"S0022481200006496_ref001","volume-title":"A structure of finite signature with identity relation and with P = NP\u2014A formal proof","author":"Ga\u00dfner","year":"2004"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200006496","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T16:34:35Z","timestamp":1556814875000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200006496\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,3]]},"references-count":6,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,3]]}},"alternative-id":["S0022481200006496"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1140641177","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,3]]}}}