{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,11]],"date-time":"2026-05-11T11:27:44Z","timestamp":1778498864866,"version":"3.51.4"},"reference-count":8,"publisher":"Elsevier BV","issue":"1-2","license":[{"start":{"date-parts":[[1988,2,1]],"date-time":"1988-02-01T00:00:00Z","timestamp":570672000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":9298,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Symbolic Computation"],"published-print":{"date-parts":[[1988,2]]},"DOI":"10.1016\/s0747-7171(88)80004-x","type":"journal-article","created":{"date-parts":[[2008,4,11]],"date-time":"2008-04-11T19:34:27Z","timestamp":1207942467000},"page":"29-35","source":"Crossref","is-referenced-by-count":243,"title":["Real quantifier elimination is doubly exponential"],"prefix":"10.1016","volume":"5","author":[{"given":"James H.","family":"Davenport","sequence":"first","affiliation":[]},{"given":"Joos","family":"Heintz","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0747-7171(88)80004-X_bib1","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1016\/0022-0000(86)90029-2","article-title":"The Complexity of Elementary Algebra and Geometry","volume":"32","author":"Ben-Or","year":"1986","journal-title":"J. Comput. Syst. Sci"},{"key":"10.1016\/S0747-7171(88)80004-X_bib2","series-title":"Proc. 2nd. GI Conf. Automata Theory & Formal Languages","first-page":"134","article-title":"Quantifier Elimination for Real Closed Fields by Cylindrical Algebraic Decomposition","volume":"33","author":"Collins","year":"1975"},{"key":"10.1016\/S0747-7171(88)80004-X_bib3","series-title":"TRITA-NA-8511, NADA, KTH, Stockholm, Sept. 1985","article-title":"Computer Algebra for Cylindrical Algebraic Decomposition","author":"Davenport","year":"1985"},{"key":"10.1016\/S0747-7171(88)80004-X_bib4","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/0304-3975(83)90002-6","article-title":"Definability and Fast Quantifier Elimination in Algebraically Closed Fields","volume":"26","author":"Heintz","year":"1983","journal-title":"Theor. Comp. Sci."},{"key":"10.1016\/S0747-7171(88)80004-X_bib5","first-page":"277","article-title":"An Improved Projection Operation for Cylindrical Algebraic Decomposition","volume":"2","author":"McCallum","year":"1985"},{"key":"10.1016\/S0747-7171(88)80004-X_bib6","series-title":"Computer Science Tech. Report 548","article-title":"An Improved Projection Operation for Cylindrical Algebraic Decomposition","author":"McCallum","year":"1985"},{"key":"10.1016\/S0747-7171(88)80004-X_bib7","series-title":"A Decision Method for Elementary Algebra and Geometry","author":"Tarski","year":"1951"},{"key":"10.1016\/S0747-7171(88)80004-X_bib8","series-title":"The Complexity of Linear Problems in Fields. Manuscript, 1985","author":"Weispfenning","year":"1985"}],"container-title":["Journal of Symbolic Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S074771718880004X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S074771718880004X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2018,12,30]],"date-time":"2018-12-30T08:23:40Z","timestamp":1546158220000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S074771718880004X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1988,2]]},"references-count":8,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[1988,2]]}},"alternative-id":["S074771718880004X"],"URL":"https:\/\/doi.org\/10.1016\/s0747-7171(88)80004-x","relation":{},"ISSN":["0747-7171"],"issn-type":[{"value":"0747-7171","type":"print"}],"subject":[],"published":{"date-parts":[[1988,2]]}}}