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Cylindrical Decomposition Algorithm

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Algorithms in Real Algebraic Geometry

Part of the book series: Algorithms and Computation in Mathematics ((AACIM,volume 10))

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11.8 Bibliographical Notes

  1. P. J. Cohen, Decision procedures for real and p-adic fields, Comm. Pure. Appl. Math. 22, 131–151 (1969).

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

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  3. L. Hörmander, The analysis of linear partial differential operators, vol. 2. Berlin etc.: Springer-Verlag (1983).

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  4. L. G. Monk, Elementary-recursive decision procedures, Thesis (1976).

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  5. A. Seidenberg, A new decision method for elementary algebra, Annals of Mathematics, 60:365–374, (1954).

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  6. A. Tarski, A Decision method for elementary algebra and geometry, University of California Press (1951).

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(2006). Cylindrical Decomposition Algorithm. In: Algorithms in Real Algebraic Geometry. Algorithms and Computation in Mathematics, vol 10. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-33099-2_12

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