{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T04:19:16Z","timestamp":1750220356957,"version":"3.41.0"},"reference-count":11,"publisher":"Association for Computing Machinery (ACM)","issue":"3","license":[{"start":{"date-parts":[[2020,9,1]],"date-time":"2020-09-01T00:00:00Z","timestamp":1598918400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Commun. Comput. Algebra"],"published-print":{"date-parts":[[2020,9]]},"abstract":"<jats:p>One-block quantifier elimination is comprised of computing a semi-algebraic description of the projection of a semi-algebraic set or of deciding the truth of a semi-algebraic formula with a single quantifier.<\/jats:p>","DOI":"10.1145\/3457341.3457348","type":"journal-article","created":{"date-parts":[[2021,3,15]],"date-time":"2021-03-15T22:07:02Z","timestamp":1615846022000},"page":"109-113","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Towards fast one-block quantifier elimination through generalised critical values"],"prefix":"10.1145","volume":"54","author":[{"given":"J\u00e9r\u00e9my","family":"Berthomieu","sequence":"first","affiliation":[{"name":"Sorbonne Universit\u00e9, Paris, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrew","family":"Ferguson","sequence":"additional","affiliation":[{"name":"Sorbonne Universit\u00e9, Paris, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohab Safey El","family":"Din","sequence":"additional","affiliation":[{"name":"Sorbonne Universit\u00e9, Paris, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2021,3,15]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.2307\/2952457"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.4310\/jdg\/1090347525"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/980175.980185"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00031-004-7003-5"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-005-1203-1"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.5555\/1197095"},{"key":"e_1_2_1_7_1","first-page":"61","volume-title":"International Conference on Mathematical Aspects of Computer and Information Sciences","author":"Din M. Safey El","year":"2006","unstructured":"M. Safey El Din . \"Generalized critical values and testing sign conditions on a polynomial \". In: International Conference on Mathematical Aspects of Computer and Information Sciences . Beijing, China , July 2006 , pp. 61 -- 84 , https:\/\/hal.archives-ouvertes.fr\/hal-01351457 M. Safey El Din. \"Generalized critical values and testing sign conditions on a polynomial\". In: International Conference on Mathematical Aspects of Computer and Information Sciences. Beijing, China, July 2006, pp. 61--84, https:\/\/hal.archives-ouvertes.fr\/hal-01351457"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/1576702.1576729"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.5555\/1888390.1888412"},{"key":"e_1_2_1_10_1","unstructured":"The RegularChain Library. 2015 http:\/\/www.regularchains.org  The RegularChain Library. 2015 http:\/\/www.regularchains.org"},{"key":"e_1_2_1_11_1","first-page":"2020","author":"Research Wolfram","year":"2020","unstructured":"Wolfram Research , Inc. Mathematica , Version 12.1. Champaign , IL , 2020 . 2020 . https:\/\/www.wolfram.com\/mathematica Wolfram Research, Inc. Mathematica, Version 12.1. Champaign, IL, 2020. 2020. https:\/\/www.wolfram.com\/mathematica","journal-title":"Version 12.1. Champaign"}],"container-title":["ACM Communications in Computer Algebra"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3457341.3457348","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3457341.3457348","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T20:17:19Z","timestamp":1750191439000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3457341.3457348"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9]]},"references-count":11,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,9]]}},"alternative-id":["10.1145\/3457341.3457348"],"URL":"https:\/\/doi.org\/10.1145\/3457341.3457348","relation":{},"ISSN":["1932-2240"],"issn-type":[{"type":"print","value":"1932-2240"}],"subject":[],"published":{"date-parts":[[2020,9]]},"assertion":[{"value":"2021-03-15","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}