{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T14:59:00Z","timestamp":1775228340110,"version":"3.50.1"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1995,1,1]],"date-time":"1995-01-01T00:00:00Z","timestamp":788918400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Autom Reasoning"],"published-print":{"date-parts":[[1995]]},"DOI":"10.1007\/bf00881858","type":"journal-article","created":{"date-parts":[[2005,1,7]],"date-time":"2005-01-07T05:02:27Z","timestamp":1105074147000},"page":"257-291","source":"Crossref","is-referenced-by-count":18,"title":["Automated production of traditional proofs in solid geometry"],"prefix":"10.1007","volume":"14","author":[{"given":"Shang-Ching","family":"Chou","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiao-Shan","family":"Gao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jing-Zhong","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"CR1","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1090\/conm\/029\/14","volume":"29","author":"S. C. Chou","year":"1984","unstructured":"Chou, S. C.: Proving elementary geometry theorems using Wu's algorithm,Automated Theorem Proving: After 25 years, Amer. Math. Soc.,Contemporary Mathematics 29 (1984), 243?286.","journal-title":"Contemporary Mathematics"},{"key":"CR2","volume-title":"Mechanical Geometry Theorem Proving","author":"S. C. Chou","year":"1988","unstructured":"Chou, S. C.:Mechanical Geometry Theorem Proving, D. Reidel, Dordrecht, 1988."},{"key":"CR3","doi-asserted-by":"crossref","unstructured":"Chou, S. C., Gao, X. S., and Zhang, J. Z.: Automated production of traditional proofs for constructive geometry theorems, inProc. 8th IEEE Symp. Logic in Computer Science, 1993, pp. 48?56.","DOI":"10.1109\/LICS.1993.287601"},{"key":"CR4","doi-asserted-by":"crossref","unstructured":"Chou, S. C., Gao, X. S., and Zhang, J. Z.: Automated geometry theorem proving using vector calculation, inProc. of ISSAC'93, Kiev, 1993, pp. 284?291.","DOI":"10.1145\/164081.164142"},{"key":"CR5","doi-asserted-by":"crossref","unstructured":"Chou, S. C., Gao, X. S., and Zhang, J. Z.: Automated production of traditional proofs for theorems in Euclidean geometry, IV. A Collection of 400 Geometry Theorems, TR-92-7, CS Dept., WSU, 1992.","DOI":"10.1142\/9789814355858_0003"},{"key":"CR6","doi-asserted-by":"crossref","unstructured":"Gelerntner, H., Hanson, J. R. and Loveland, D. W.: Empirical explorations of the geometry-theorem proving machine, inProc. West. Joint Computer Conf., 1960, pp. 143?147.","DOI":"10.1145\/1460361.1460381"},{"key":"CR7","volume-title":"The Foundations of Geometry","author":"D. Hilbert","year":"1971","unstructured":"Hilbert, D.:The Foundations of Geometry, Open Court Pub. Comp., Lasalla, Illinois, 1971."},{"key":"CR8","doi-asserted-by":"crossref","unstructured":"Kapur, D.: Geometry theorem proving using Hilbert's nullstellensatz, inProc. SYM-SAC'86, Waterloo, 1986, pp. 202?208.","DOI":"10.1145\/32439.32479"},{"key":"CR9","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1207\/s15516709cog1404_2","volume":"14","author":"K. R. Koedinger","year":"1990","unstructured":"Koedinger, K. R. and Anderson, J. R.: Abstract planning and perceptual chunks: Elements of expertise in geometry,Cognitive Science 14 (1990), 511?550.","journal-title":"Cognitive Science"},{"key":"CR10","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1145\/164081.164144","volume-title":"Proc. of ISSAC-93","author":"S. Stifter","year":"1993","unstructured":"Stifter, S.: Geometry theorem proving in vector spaces by means of Gr\u00f6bner bases, inProc. of ISSAC-93, Kiev, ACM Press, 1993, pp. 301?310."},{"key":"CR11","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1109\/TC.1976.1674696","volume":"C-25","author":"J. D. Mccharen","year":"1976","unstructured":"Mccharen, J. D., Overbeek, R. A., and Wos, L. A.: Problems and experiments for and with Automated Theorem-proving programs,IEEE Trans. on Computers,C-25 (1976), 773?782.","journal-title":"IEEE Trans. on Computers"},{"key":"CR12","first-page":"159","volume":"21","author":"Wen-ts\u00fcn. Wu","year":"1978","unstructured":"Wu Wen-ts\u00fcn.: On the Decision Problem and the Mechanization of Theorem in Elementary Geometry,Scientia Sinica 21 (1978), 159?172; also inAutomated Theorem Proving: After 25 years, Contemp. Math.29 A.M.S. 1984, 213?234.","journal-title":"Scientia Sinica"},{"key":"CR13","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/S0252-9602(18)30628-3","volume":"2","author":"Wen-ts\u00fcn. Wu","year":"1982","unstructured":"Wu Wen-ts\u00fcn.: Toward mecahnization of geometry ? some comments on Hilbert's ?Grundlagen der Geometrie?,Acta Math. Scientia 2 (1982), 125?138.","journal-title":"Acta Math. Scientia"},{"key":"CR14","unstructured":"Zhang, J. Z. and Cao, P. S.:From Education of Mathematics to Mathematics for Education, Sichuan Educational Publishing Inc., 1988 (in Chinese)."},{"key":"CR15","unstructured":"Zhang, J. Z., Chou, S. C., and Gao, X. S.: Automated production of traditional proofs for theorems in Euclidean geometry, I. The Hilbert intersection point theorems, TR-92-3, Department of Computer Science, WSU, 1992.Ann. A.I. Math. (to appear)."}],"container-title":["Journal of Automated Reasoning"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF00881858.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF00881858\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF00881858","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,22]],"date-time":"2024-12-22T11:57:54Z","timestamp":1734868674000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF00881858"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1995]]}},"alternative-id":["BF00881858"],"URL":"https:\/\/doi.org\/10.1007\/bf00881858","relation":{},"ISSN":["0168-7433","1573-0670"],"issn-type":[{"value":"0168-7433","type":"print"},{"value":"1573-0670","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995]]}}}