{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T00:05:33Z","timestamp":1740096333937,"version":"3.37.3"},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642408847"},{"type":"electronic","value":"9783642408854"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-40885-4_1","type":"book-chapter","created":{"date-parts":[[2013,9,11]],"date-time":"2013-09-11T11:20:19Z","timestamp":1378898419000},"page":"1-6","source":"Crossref","is-referenced-by-count":0,"title":["MetiTarski\u2019s Menagerie of Cooperating Systems"],"prefix":"10.1007","author":[{"given":"Lawrence C.","family":"Paulson","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"1_CR1","series-title":"Lecture Notes in Artificial Intelligence","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1007\/978-3-540-85110-3_18","volume-title":"Intelligent Computer Mathematics","author":"B. Akbarpour","year":"2008","unstructured":"Akbarpour, B., Paulson, L.C.: MetiTarski: An automatic prover for the elementary functions. In: Autexier, S., Campbell, J., Rubio, J., Sorge, V., Suzuki, M., Wiedijk, F. (eds.) AISC\/Calculemus\/MKM 2008. LNCS (LNAI), vol.\u00a05144, pp. 217\u2013231. Springer, Heidelberg (2008)"},{"issue":"3","key":"1_CR2","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1007\/s10817-009-9149-2","volume":"44","author":"B. Akbarpour","year":"2010","unstructured":"Akbarpour, B., Paulson, L.: MetiTarski: An automatic theorem prover for real-valued special functions. Journal of Automated Reasoning\u00a044(3), 175\u2013205 (2010)","journal-title":"Journal of Automated Reasoning"},{"issue":"4","key":"1_CR3","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1006\/jsco.2000.0465","volume":"32","author":"M. Beeson","year":"2001","unstructured":"Beeson, M.: Automatic generation of a proof of the irrationality of e. Journal of Symbolic Computation\u00a032(4), 333\u2013349 (2001)","journal-title":"Journal of Symbolic Computation"},{"doi-asserted-by":"crossref","unstructured":"Bridge, J., Paulson, L.: Case splitting in an automatic theorem prover for real-valued special functions. Journal of Automated Reasoning (2012) (in press), http:\/\/dx.doi.org\/10.1007\/s10817-012-9245-6","key":"1_CR4","DOI":"10.1007\/s10817-012-9245-6"},{"issue":"4","key":"1_CR5","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1145\/968708.968710","volume":"37","author":"C.W. Brown","year":"2003","unstructured":"Brown, C.W.: QEPCAD B: a program for computing with semi-algebraic sets using CADs. SIGSAM Bulletin\u00a037(4), 97\u2013108 (2003)","journal-title":"SIGSAM Bulletin"},{"key":"1_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1007\/3-540-45657-0_29","volume-title":"Computer Aided Verification","author":"A. Cimatti","year":"2002","unstructured":"Cimatti, A., Clarke, E., Giunchiglia, E., Giunchiglia, F., Pistore, M., Roveri, M., Sebastiani, R., Tacchella, A.: NuSMV 2: An openSource tool for symbolic model checking. In: Brinksma, E., Larsen, K.G. (eds.) CAV 2002. LNCS, vol.\u00a02404, pp. 359\u2013364. Springer, Heidelberg (2002)"},{"issue":"1","key":"1_CR7","first-page":"56","volume":"3","author":"E. Clarke","year":"1993","unstructured":"Clarke, E., Zhao, X.: Analytica: A theorem prover for Mathematica. Mathematica Journal\u00a03(1), 56\u201371 (1993)","journal-title":"Mathematica Journal"},{"key":"1_CR8","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1016\/S0747-7171(88)80004-X","volume":"5","author":"J.H. Davenport","year":"1988","unstructured":"Davenport, J.H., Heintz, J.: Real quantifier elimination is doubly exponential. J. Symbolic Comp.\u00a05, 29\u201335 (1988)","journal-title":"J. Symbolic Comp."},{"key":"1_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1007\/978-3-540-78800-3_24","volume-title":"Tools and Algorithms for the Construction and Analysis of Systems","author":"L. Moura de","year":"2008","unstructured":"de Moura, L., Bj\u00f8rner, N.: Z3: An efficient SMT solver. In: Ramakrishnan, C.R., Rehof, J. (eds.) TACAS 2008. LNCS, vol.\u00a04963, pp. 337\u2013340. Springer, Heidelberg (2008)"},{"doi-asserted-by":"crossref","unstructured":"Dolzmann, A., Sturm, T., Weispfenning, V.: Real quantifier elimination in practice. In: Heinrich Matzat, B., Greuel, G.-M., Hiss, G. (eds.) Algorithmic Algebra and Number Theory, pp. 221\u2013247. Springer (1999)","key":"1_CR10","DOI":"10.1007\/978-3-642-59932-3_11"},{"issue":"1","key":"1_CR11","doi-asserted-by":"publisher","first-page":"7","DOI":"10.2307\/2274424","volume":"53","author":"L. Dries van den","year":"1988","unstructured":"van den Dries, L.: Alfred Tarski\u2019s elimination theory for real closed fields. Journal of Symbolic Logic\u00a053(1), 7\u201319 (1988)","journal-title":"Journal of Symbolic Logic"},{"issue":"6","key":"1_CR12","doi-asserted-by":"publisher","first-page":"72","DOI":"10.1109\/MCSE.2008.154","volume":"10","author":"M.A. Gray","year":"2008","unstructured":"Gray, M.A.: Sage: A new mathematics software system. Computing in Science Engineering\u00a010(6), 72\u201375 (2008)","journal-title":"Computing in Science Engineering"},{"unstructured":"Hong, H.: QEPCAD \u2014 quantifier elimination by partial cylindrical algebraic decomposition, Sources and documentation are on the Internet at http:\/\/www.cs.usna.edu\/~qepcad\/B\/QEPCAD.html","key":"1_CR13"},{"unstructured":"Hurd, J.: First-order proof tactics in higher-order logic theorem provers. In: Archer, M., Di Vito, B., Mu\u00f1oz, C. (eds) Design and Application of Strategies\/Tactics in Higher Order Logics, NASA\/CP-2003-212448 in NASA Technical Reports, pp. 56\u201368 (September 2003)","key":"1_CR14"},{"unstructured":"Hurd, J.: Metis first order prover (2007), Website at http:\/\/gilith.com\/software\/metis\/","key":"1_CR15"},{"doi-asserted-by":"crossref","unstructured":"Joachims, T.: Making large-scale support vector machine learning practical. In: Sch\u00f6lkopf, B., Burges, C.J.C., Smola, A.J. (eds.) Advances in Kernel Methods, pp. 169\u2013184. MIT Press (1999)","key":"1_CR16","DOI":"10.7551\/mitpress\/1130.003.0015"},{"key":"1_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1007\/978-3-642-31365-3_27","volume-title":"Automated Reasoning","author":"D. Jovanovi\u0107","year":"2012","unstructured":"Jovanovi\u0107, D., de Moura, L.: Solving non-linear arithmetic. In: Gramlich, B., Miller, D., Sattler, U. (eds.) IJCAR 2012. LNCS, vol.\u00a07364, pp. 339\u2013354. Springer, Heidelberg (2012)"},{"key":"1_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-45949-9","volume-title":"Isabelle\/HOL","author":"T. Nipkow","year":"2002","unstructured":"Nipkow, T., Paulson, L.C., Wenzel, M.T.: Isabelle\/HOL. LNCS, vol.\u00a02283. Springer, Heidelberg (2002)"},{"key":"1_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1007\/3-540-61474-5_91","volume-title":"Computer Aided Verification","author":"S. Owre","year":"1996","unstructured":"Owre, S., Rajan, S., Rushby, J.M., Shankar, N., Srivas, M.K.: PVS: Combining specification, proof checking, and model checking. In: Alur, R., Henzinger, T.A. (eds.) CAV 1996. LNCS, vol.\u00a01102, pp. 411\u2013414. Springer, Heidelberg (1996)"},{"key":"1_CR20","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"358","DOI":"10.1007\/978-3-642-31374-5_24","volume-title":"Intelligent Computer Mathematics","author":"G.O. Passmore","year":"2012","unstructured":"Passmore, G.O., Paulson, L.C., de Moura, L.: Real algebraic strategies for MetiTarski proofs. In: Jeuring, J., Campbell, J.A., Carette, J., Dos Reis, G., Sojka, P., Wenzel, M., Sorge, V. (eds.) CICM 2012. LNCS, vol.\u00a07362, pp. 358\u2013370. Springer, Heidelberg (2012)"},{"key":"1_CR21","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-642-32347-8_1","volume-title":"Interactive Theorem Proving","author":"L.C. Paulson","year":"2012","unstructured":"Paulson, L.C.: MetiTarski: Past and future. In: Beringer, L., Felty, A. (eds.) ITP 2012. LNCS, vol.\u00a07406, pp. 1\u201310. Springer, Heidelberg (2012)"},{"key":"1_CR22","series-title":"Lecture Notes in Artificial Intelligence","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1007\/978-3-540-71070-7_15","volume-title":"Automated Reasoning","author":"A. Platzer","year":"2008","unstructured":"Platzer, A., Quesel, J.-D.: KeYmaera: A hybrid theorem prover for hybrid systems (System description). In: Armando, A., Baumgartner, P., Dowek, G. (eds.) IJCAR 2008. LNCS (LNAI), vol.\u00a05195, pp. 171\u2013178. Springer, Heidelberg (2008)"},{"key":"1_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"725","DOI":"10.1007\/978-3-642-31424-7_56","volume-title":"Computer Aided Verification","author":"A. Tiwari","year":"2012","unstructured":"Tiwari, A.: HybridSAL relational abstracter. In: Madhusudan, P., Seshia, S.A. (eds.) CAV 2012. LNCS, vol.\u00a07358, pp. 725\u2013731. Springer, Heidelberg (2012)"}],"container-title":["Lecture Notes in Computer Science","Frontiers of Combining Systems"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-40885-4_1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,4]],"date-time":"2023-07-04T13:46:19Z","timestamp":1688478379000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-40885-4_1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642408847","9783642408854"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-40885-4_1","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}