A parallel implementation of the cylindrical algebraic decomposition algorithm

B. David Saunders, H. R. Lee, S. Kamal Abdali · 1989

In this paper, we describe a parallelization scheme for Collins' cylindrical algebraic decomposition algorithm for quantifier elimination in the theory of real closed fields. We first discuss a parallel implementation of the computer algebra system SAC2 in which a complete sequential implementation of Collins' algorithm already exists. We report some initial results on the speedup obtained, drawing on a suite of examples previously given by Arnon.

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