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Volumn 176 LNCS, Issue , 1984, Pages 17-31

Complexity of quantifier elimination in the theory of algebraically closed fields

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTERS;

EID: 85036476335     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/BFb0030287     Document Type: Conference Paper
Times cited : (112)

References (16)
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    • Leningrad
    • Chistov A.L., Grigor'ev D. Yu. Polynomial-time factoring of polynomials and subexponential-time solving systems and quantifier elimination, Notes of Scientific seminars of LOMI, Leningrad, 1984, vol. 137.
    • (1984) Notes of Scientific Seminars of LOMI , vol.137
    • Chistov, A.L.1    Grigor'ev, D.Y.2
  • 5
    • 85029837057 scopus 로고
    • Quantifier elimination for real closed fields by cylindrical algebraic decomposition
    • Collins G.E. Quantifier elimination for real closed fields by cylindrical algebraic decomposition, Lect. Notes Comput. Sci., 1975, vol.33, p. 134–183.
    • (1975) Lect. Notes Comput. Sci , vol.33 , pp. 134-183
    • Collins, G.E.1
  • 6
    • 84875373670 scopus 로고
    • Multiplicative complexity of a bilinear form over a commutative ring
    • Grigor'ev D. Yu. Multiplicative complexity of a bilinear form over a commutative ring, Lect. Notes Comp. Sci., 1981, vol.118, p.281–286.
    • (1981) Lect. Notes Comp. Sci , vol.118 , pp. 281-286
    • Grigor'ev, D.Y.1
  • 8
    • 84976852894 scopus 로고
    • A polynomial reduction from multivariate to bivariate integral polynomial factorization
    • May, N.Y
    • Kaltofen E. A polynomial reduction from multivariate to bivariate integral polynomial factorization, Proc. 14-th ACM Symp. Th. Comput., May, N.Y., 1982, p.261–266.
    • (1982) Proc. 14-Th ACM Symp. Th. Comput , pp. 261-266
    • Kaltofen, E.1
  • 9
    • 0020269106 scopus 로고
    • A polynomial-time reduction from bivariate to univariate integral polynomial factorization
    • October, N.Y
    • Kaltofen E. A polynomial-time reduction from bivariate to univariate integral polynomial factorization, Proc.23-rd IEEE Symp. Found Comp. Sci., October, N.Y., 1982, p.57–64.
    • (1982) Proc.23-Rd IEEE Symp. Found Comp. Sci , pp. 57-64
    • Kaltofen, E.1
  • 10
    • 0000713722 scopus 로고
    • Algébre linéaire sur k[X 1,...,X n] et élimination
    • Lazard D. Algébre linéaire sur k[X 1,...,X n] et élimination, Bull. Soc. Math. France, 1977, vol.105, p.165–190.
    • (1977) Bull. Soc. Math. France , vol.105 , pp. 165-190
    • Lazard, D.1
  • 11
    • 0002548511 scopus 로고
    • Résolutions des systèmes d'équations algébriques
    • Lazard D. Résolutions des systèmes d'équations algébriques, Theor Comput. Sci., 1981, vol.15, p.77–110.
    • (1981) Theor Comput. Sci. , vol.15 , pp. 77-110
    • Lazard, D.1
  • 12
    • 34250244723 scopus 로고
    • Factoring polynomials with rational coefficients
    • Lenstra A.K., Lenstra H.W., Lovasz L. Factoring polynomials with rational coefficients, Math. Ann., 1982, vol.261, p.515–534.
    • (1982) Math. Ann. , vol.261 , pp. 515-534
    • Lenstra, A.K.1    Lenstra, H.W.2    Lovasz, L.3
  • 15
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    • Ein Entscheidungsverfahren für die Theorie der reellabgeschlossenen Körper
    • Wüthrich H.R. Ein Entscheidungsverfahren für die Theorie der reellabgeschlossenen Körper, Lect. Notes Comput. Sci., 1976, vol.43, p.138–162.
    • (1976) Lect. Notes Comput. Sci. , vol.43 , pp. 138-162
    • Wüthrich, H.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.