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On mechanical quantifier elimination for elementary algebra and geometry: Solution of a nontrivial problem

Abstract

  • Algebraic Algorithms III
  • Conference paper
  • First Online:
EUROCAL '85 (EUROCAL 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 204))

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References

  1. D. S. Arnon, G. E. Collins and S. McCallum, Cylindrical algebraic decomposition I: The basic algorithm, SIAM J. Comp, 13, (1984), pp. 865–877.

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  2. G. E. Collins, Quantifier elimination for real closed fields by cylindrical algebraic decomposition, in Second GI Conference on Automata Theory and Formal Languages, vol. 33 of Lecture Notes in Computer Science, Springer-Verlag, Berlin, 1975, pp 134–183.

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  3. — —, Quantifier elimination for real closed fields: a guide to the literature, in Computing, Supplementum 4: Computer Algebra-Symbolic and Algebraic Computation, Springer-Verlag, Vienna and New York, 1982.

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  4. C. Delzell, Private communication, 1983.

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  5. — —, A continuous, constructive solution to Hilbert's 17th problem, Invent. math., 76, (1984), pp. 365–384.

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Bob F. Caviness

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© 1985 Springer-Verlag Berlin Heidelberg

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Arnon, D.S. (1985). On mechanical quantifier elimination for elementary algebra and geometry: Solution of a nontrivial problem. In: Caviness, B.F. (eds) EUROCAL '85. EUROCAL 1985. Lecture Notes in Computer Science, vol 204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15984-3_274

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  • DOI: https://doi.org/10.1007/3-540-15984-3_274

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15984-1

  • Online ISBN: 978-3-540-39685-7

  • eBook Packages: Springer Book Archive

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