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Volumn 5625 LNAI, Issue , 2009, Pages 122-137

Combined decision techniques for the existential theory of the reals

Author keywords

[No Author keywords available]

Indexed keywords

DECISION METHOD; FORMAL VERIFICATIONS; HIGH DIMENSIONS; HIGH-DIMENSIONAL; NON-LINEAR; RATIONAL FUNCTION; REAL ALGEBRA; REAL-WORLD SYSTEM; SWEET SPOT; THEOREM PROVERS;

EID: 69049104267     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-02614-0_14     Document Type: Conference Paper
Times cited : (21)

References (21)
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  • 2
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    • Cohen, P.J.: Decision procedures for real and p-adic fields. Comm. Pure and Applied Mathematics XXII(2), 131-151 (1969)
  • 3
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    • Quantifier elimination for the elementary theory of real closed fields by cylindrical algebraic decomposition
    • Brakhage, H, ed, GI-Fachtagung, Springer, Heidelberg
    • Collins, G.E.: Quantifier elimination for the elementary theory of real closed fields by cylindrical algebraic decomposition. In: Brakhage, H. (ed.) GI-Fachtagung 1975. LNCS, vol. 33, pp. 134-183. Springer, Heidelberg (1975)
    • (1975) LNCS , vol.33 , pp. 134-183
    • Collins, G.E.1
  • 4
    • 80052987943 scopus 로고
    • Real quantifier elimination is doubly exponential
    • Davenport, J.H., Heintz, J.: Real quantifier elimination is doubly exponential. Journal of Symbolic Computing 5(1-2), 29-35 (1988)
    • (1988) Journal of Symbolic Computing , vol.5 , Issue.1-2 , pp. 29-35
    • Davenport, J.H.1    Heintz, J.2
  • 5
    • 84881072062 scopus 로고
    • A computing procedure for quantification theory
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  • 7
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    • Redlog: Computer algebra meets computer logic
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    • Dolzmann, A.1    Sturm, T.2
  • 11
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    • Harrison, J.: Verifying nonlinear real formulas via sums of squares. In: Schneider, K., Brandt, J. (eds.) TPHOLs 2007. LNCS, 4732, pp. 102-118. Springer, Heidelberg (2007)
    • Harrison, J.: Verifying nonlinear real formulas via sums of squares. In: Schneider, K., Brandt, J. (eds.) TPHOLs 2007. LNCS, vol. 4732, pp. 102-118. Springer, Heidelberg (2007)
  • 12
    • 69049093655 scopus 로고    scopus 로고
    • Hong, H.: Comparison of several decision algorithms for the existential theory of the reals. Technical report, RISC Linz (1991)
    • Hong, H.: Comparison of several decision algorithms for the existential theory of the reals. Technical report, RISC Linz (1991)
  • 14
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    • Solving polynomial strict inequalities using cylindrical algebraic decomposition
    • McCallum, S.: Solving polynomial strict inequalities using cylindrical algebraic decomposition. The Computer Journal 36(5) (1993)
    • (1993) The Computer Journal , vol.36 , Issue.5
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  • 15
    • 26944493043 scopus 로고    scopus 로고
    • McLaughlin, S., Harrison, J.V.: A proof-producing decision procedure for real arithmetic. In: Nieuwenhuis, R. (ed.) CADE 2005. LNCS, 3632, pp. 295-314. Springer, Heidelberg (2005)
    • McLaughlin, S., Harrison, J.V.: A proof-producing decision procedure for real arithmetic. In: Nieuwenhuis, R. (ed.) CADE 2005. LNCS, vol. 3632, pp. 295-314. Springer, Heidelberg (2005)
  • 16
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    • On the computational complexity and geometry of the first-order theory of the reals (Part I)
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    • Tiwari, A.: An algebraic approach for the unsatisfiability of nonlinear constraints. In: Ong, L. (ed.) CSL 2005. LNCS, 3634, pp. 248-262. Springer, Heidelberg (2005)
    • Tiwari, A.: An algebraic approach for the unsatisfiability of nonlinear constraints. In: Ong, L. (ed.) CSL 2005. LNCS, vol. 3634, pp. 248-262. Springer, Heidelberg (2005)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.