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On projection in CAD-based quantifier elimination with equational constraint

Published: 01 July 1999 Publication History
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References

[1]
ABIIYANK-X{t. S. S. Algebraic Geometry for Scie.ntist~ and Engineers. American Mathcinatical Society. Providence, 1990.
[2]
ARNON, D. S. C, OI,I,INS. G. E., AND h,"{CC.AI.I,UM, S. Cylindrical algebraic decomposition i" The J)asic algorithm. SIAM,lournal on Computing 13 (1984), 865- 877.
[3]
COt~I~INS, G. E. Quantifier elimi,mtion h~r real closed fields by cylindri(:al algebraic de(:or,~posit.io,~. In Proceedings of 2nd GI Conference on Automata Theory and ForTr~al Languages, Lecture Notes in Computer Scie.nc.e 33 (Berlin, 1975), Springer-Verlag, pp. 134-1.83.
[4]
COLLINS, G. E. Quantifier elimination 1)y cylindrical algebraic decomt,osit.ion twenty years of progress, hi Quant,ifier Eliminatiov, and Cylindrical Algebraic Decor,.position (Vienna, 1998), B. F. Caviness and J. R. Johnson, Eds., Springer-Verlag, pp. 8-23.
[5]
C',OI.I:INS, G. E., ANJ~ HONG, H. Partial cylindrical ~lgebraic decomposition fbr quantifier elimination. Journal of Symbolic Computation .1~ (1991), 299 328.
[6]
I~AI'LAN. W. Introduction to Analytic Functions. Addison-Wesley, Reading, 1966.
[7]
MCC:AI~I~IJM, S. An ImpTvved Projection Operation for Cylindrical Alg~braic Decomposition. PhD thesis, University of Wisconsin-Madison, 1984.
[8]
MCCALLUM. S. An improved projection operation for cylindric,~l algebraic decomposition of threedimensional space.,lournal of Symbolic Computation 5 (1988), 141-161.
[9]
MCC, AI~I~UM, S. An improved projection opcrat, ion tbr cylindrical algebraic decomposition. In Quant4fier Elimination and Cylindrical Algebraic Decomposition (Vienna, 1998), B. F. Caviness and J. R. Johnson, Eds., Springer-Verlag, pp. 242-268.
[10]
\~AI.KEr~. R. J. Algebraic Curves. Springer-Verlag, N(;w
[11]
\~'HITNE'~, H. Complex Analytic Varieties. Addisoil- Wesley, Menlo Park, 1972.

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cover image ACM Conferences
ISSAC '99: Proceedings of the 1999 international symposium on Symbolic and algebraic computation
July 1999
314 pages
ISBN:1581130732
DOI:10.1145/309831
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Published: 01 July 1999

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