swMATH ID: 752
Software Authors: Hoon Hong; Brown, Christopher W.
Description: QEPCAD B: A program for computing with semi-algebraic sets using CADs. QEPCAD is an implementation of quantifier elimination by partial cylindrical algebraic decomposition due orginally to Hoon Hong, and subsequently added on to by many others. It is an interactive command-line program written in C/C++, and based on the SACLIB library. Presented here is QEPCAD B version 1.x, the ”B” designating a substantial departure from the original QEPCAD and distinguishing it from any development of the original that may proceed in a different direction. QEPCAD and the SACLIB library are the result of a program of research by George Collins and his PhD students that has spanned several decades ... and continues still! I extended and improved QEPCAD for several years. Improvements that didn’t involve changes to the way the program interacted with the user I’d just go ahead and make. However, changes that affected the interaction of QEPCAD and the user, or changes that added new features were ”tacked on” to the program, requiring the user to know about extra commands. Moreover, there was no cannonical source for QEPCAD distribution or documentation, and no internet accessible source at all. This branch of QEPCAD, QEPCAD ”B”, was introduced to address those problems - to make QEPCAD easily accessable through the internet, to provide good documentation, and to incorporate many improvements and extensions in a way that makes them most accessible to the user.
Homepage: http://dl.acm.org/citation.cfm?id=968710
Related Software: REDLOG; Maple; DISCOVERER; RSOLVER; MetiTarski; z3; Mathematica; RegularChains; Sostools; SYNRAC; SMT-LIB; RAGlib; HyTech; SMT-RAT; KeYmaera; SINGULAR; PVS; PHAVer; ISOLATE; REDUCE
Cited in: 295 Documents
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Cited by 361 Authors

25 Sturm, Thomas
21 Davenport, James Harold
16 England, Matthew
16 Xia, Bican
15 Hong, Hoon
13 Anai, Hirokazu
11 Bradford, Russell J.
11 Brown, Christopher W.
11 Platzer, André
11 Weber, Andreas Günter
10 Paulson, Lawrence Charles
10 Yang, Lu
9 Wilson, David J.
8 She, Zhikun
8 Wang, Dongming
7 Liska, Richard
6 McCallum, Scott
6 Ratschan, Stefan
6 Seiler, Werner M.
6 Weispfenning, Volker
6 Zhan, Naijun
5 Ábrahám, Erika
5 Chen, Changbo
5 Eirinakis, Pavlos
5 Iwane, Hidenao
5 Moreno Maza, Marc
5 Niu, Wei
5 Passmore, Grant Olney
5 Steinberg, Stanly L.
5 Strzeboński, Adam Wojciech
5 Subramani, Krishnan
5 Wojciechowski, Piotr J.
4 Collins, George E.
4 Dolzmann, Andreas
4 Errami, Hassan
4 Hara, Shinji
4 Ioakimidis, Nikolaos Ioakim
4 Kanno, Masaaki
4 Nešić, Dragan
4 Pillwein, Veronika
4 Sankaranarayanan, Sriram
4 Schicho, Josef
4 Yanami, Hitoshi
4 Yokoyama, Kazuhiro
3 Abdel-Rahman, Essam Othman
3 Akbarpour, Behzad
3 Basu, Saugata
3 Grigor’ev, Dmitriĭ Yur’evich
3 Han, Jingjun
3 Kapur, Deepak
3 Kauers, Manuel
3 Li, Xiaoliang
3 Liang, Songxin
3 Pappas, George J.
3 Rouillier, Fabrice
3 Ruggieri, Salvatore
3 Saminger-Platz, Susanne
3 Tiwari, Ashish Kumar
3 Vajda, Robert
3 Xue, Bai
3 Yang, Zhengfeng
3 Zhang, Zhihai
3 Zheng, Zhiming
2 Beaumont, James C.
2 Boulier, François
2 Bridge, James P.
2 Buchberger, Bruno
2 Campagna, Dario
2 Chen, Yinghua
2 Cimatti, Alessandro
2 Clarke, Edmund Melson jun.
2 de Moura, Leonardo
2 Eiswirth, Markus
2 El Kahoui, M’hammed
2 Encarnación, Mark J.
2 Eraşcu, Mădălina
2 Fleuriot, Jacques D.
2 Fontaine, Pascal
2 Fotiou, Ioannis A.
2 Fukasaku, Ryoya
2 Gao, Xiaoshan
2 Ghorbal, Khalil
2 Griggio, Alberto
2 Hardy, Ruth
2 Hou, Xiaorong
2 Huang, Bo
2 Huang, Zongyan
2 Iosif, Alexandru
2 Jackson, Paul B.
2 Jeffrey, David J.
2 Joswig, Michael
2 Kahle, Thomas
2 Klement, Erich Peter
2 Kolesárová, Anna
2 Košta, Marek
2 Kovács, Zoltán
2 Krandick, Werner
2 Kreinovich, Vladik Yakovlevich
2 Kremer, Gereon
2 Lai, Yisheng
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Cited in 74 Serials

44 Journal of Symbolic Computation
16 Mathematics in Computer Science
5 Journal of Automated Reasoning
5 Applicable Algebra in Engineering, Communication and Computing
5 Formal Methods in System Design
5 Annals of Mathematics and Artificial Intelligence
5 Journal of Systems Science and Complexity
4 Mathematics and Computers in Simulation
4 Theoretical Computer Science
3 International Journal of Control
3 Formal Aspects of Computing
2 Acta Mechanica
2 Bulletin of Mathematical Biology
2 The Computer Journal. Section A / Section B
2 Fuzzy Sets and Systems
2 Systems & Control Letters
2 Science in China. Series A
2 Linear Algebra and its Applications
2 Reliable Computing
2 Algorithms and Computation in Mathematics
2 Logical Methods in Computer Science
2 Nonlinear Analysis. Hybrid Systems
2 Science China. Information Sciences
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1 Advances in Mathematics
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1 IEEE Transactions on Automatic Control
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1 SIAM Journal on Control and Optimization
1 SIGSAM Bulletin
1 Advances in Applied Mathematics
1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica
1 Applied Numerical Mathematics
1 Journal of Systems Science and Mathematical Sciences
1 Applied Mathematics Letters
1 Journal of Logic and Computation
1 MSCS. Mathematical Structures in Computer Science
1 Journal of Global Optimization
1 Cybernetics and Systems Analysis
1 The Journal of Artificial Intelligence Research (JAIR)
1 Constraints
1 Science in China. Series E
1 European Journal of Control
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1 Acta Mathematica Scientia. Series B. (English Edition)
1 SIAM Journal on Applied Dynamical Systems
1 Computer Languages, Systems & Structures
1 Science in China. Series F
1 Mathematics and its Applications (Dordrecht)
1 Applied Optimization
1 ACM Communications in Computer Algebra
1 The Review of Symbolic Logic
1 Journal of Math-for-Industry
1 Frontiers of Computer Science in China
1 East Asian Journal on Applied Mathematics
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1 Journal of Logical and Algebraic Methods in Programming
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