{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T10:03:19Z","timestamp":1770285799813,"version":"3.49.0"},"publisher-location":"New York, NY, USA","reference-count":15,"publisher":"ACM","license":[{"start":{"date-parts":[[2011,6,8]],"date-time":"2011-06-08T00:00:00Z","timestamp":1307491200000},"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":[],"published-print":{"date-parts":[[2011,6,8]]},"DOI":"10.1145\/1993886.1993903","type":"proceedings-article","created":{"date-parts":[[2011,6,14]],"date-time":"2011-06-14T14:45:32Z","timestamp":1308062732000},"page":"75-82","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":11,"title":["Computing with semi-algebraic sets represented by triangular decomposition"],"prefix":"10.1145","author":[{"given":"Changbo","family":"Chen","sequence":"first","affiliation":[{"name":"University of Western Ontario, London, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"James H.","family":"Davenport","sequence":"additional","affiliation":[{"name":"University of Bath, Bath, United Kingdom"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marc","family":"Moreno Maza","sequence":"additional","affiliation":[{"name":"University of Western Ontario, London, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bican","family":"Xia","sequence":"additional","affiliation":[{"name":"Peking University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rong","family":"Xiao","sequence":"additional","affiliation":[{"name":"UNIVERSITY OF WESTERN ONTARIO, London, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2011,6,8]]},"reference":[{"key":"e_1_3_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.5555\/1197095"},{"key":"e_1_3_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.2001.0463"},{"key":"e_1_3_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/1837934.1837972"},{"key":"e_1_3_2_1_4_1","series-title":"Lecture Notes in Computer Science","first-page":"73","volume-title":"Proc. of CASC'07","author":"Chen C.","year":"2007","unstructured":"C. Chen , O. Golubitsky , F. Lemaire , M. Moreno Maza , and W. Pan . Comprehensive triangular decomposition . In Proc. of CASC'07 , volume 4770 of Lecture Notes in Computer Science , pages 73 -- 101 , 2007 . C. Chen, O. Golubitsky, F. Lemaire, M. Moreno Maza, and W. Pan. Comprehensive triangular decomposition. In Proc. of CASC'07, volume 4770 of Lecture Notes in Computer Science, pages 73--101, 2007."},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/1993886.1993904"},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11704-008-0006-y"},{"key":"e_1_3_2_1_7_1","first-page":"134","volume-title":"Cylindrical Algebraic Decomposition. In Proc. of 2nd. GI Conference Automata Theory & Formal Languages","author":"Collins G.E.","year":"1975","unstructured":"G.E. Collins . Quantifier Elimination for Real Closed Fields by Cylindrical Algebraic Decomposition. In Proc. of 2nd. GI Conference Automata Theory & Formal Languages , pages 134 -- 183 , 1975 . G.E. Collins. Quantifier Elimination for Real Closed Fields by Cylindrical Algebraic Decomposition. In Proc. of 2nd. GI Conference Automata Theory & Formal Languages, pages 134--183, 1975."},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0747-7171(88)80004-X"},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2007.01.007"},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1145\/1576702.1576715"},{"key":"e_1_3_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1999.0327"},{"key":"e_1_3_2_1_13_1","volume-title":"Elimination Methods","author":"Wang D. M.","year":"2000","unstructured":"D. M. Wang . Elimination Methods . Springer , New York , 2000 . D. M. Wang. Elimination Methods. Springer, New York, 2000."},{"issue":"6","key":"e_1_3_2_1_15_1","first-page":"33","article-title":"A complete algorithm for automated discovering of a class of inequality-type theorems","volume":"44","author":"Yang L.","year":"2001","unstructured":"L. Yang , X. Hou , and B. Xia . A complete algorithm for automated discovering of a class of inequality-type theorems . Science in China, Series F , 44 ( 6 ): 33 -- 49 , 2001 . L. Yang, X. Hou, and B. Xia. A complete algorithm for automated discovering of a class of inequality-type theorems. Science in China, Series F, 44(6):33--49, 2001.","journal-title":"Science in China, Series F"},{"key":"e_1_3_2_1_16_1","first-page":"281","volume-title":"Proc. of the A3L'05","author":"Yang L.","year":"2005","unstructured":"L. Yang and B. Xia . Real solution classifications of a class of parametric semi-algebraic systems . In Proc. of the A3L'05 , pages 281 -- 289 , 2005 . L. Yang and B. Xia. Real solution classifications of a class of parametric semi-algebraic systems. In Proc. of the A3L'05, pages 281--289, 2005."},{"key":"e_1_3_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1145\/1940475.1940500"}],"event":{"name":"ISSAC '11: International Symposium on Symbolic and Algebraic Computation","location":"San Jose California USA","acronym":"ISSAC '11","sponsor":["SIGSAM ACM Special Interest Group on Symbolic and Algebraic Manipulation"]},"container-title":["Proceedings of the 36th international symposium on Symbolic and algebraic computation"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1993886.1993903","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1993886.1993903","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T11:05:52Z","timestamp":1750244752000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1993886.1993903"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,6,8]]},"references-count":15,"alternative-id":["10.1145\/1993886.1993903","10.1145\/1993886"],"URL":"https:\/\/doi.org\/10.1145\/1993886.1993903","relation":{},"subject":[],"published":{"date-parts":[[2011,6,8]]},"assertion":[{"value":"2011-06-08","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}