Satisfiability of cross product terms is complete for real nondeterministic polytime Blum-Shub-Smale machines

Christian Herrmann; Johanna Sokoli; Martin Ziegler

doi:10.4204/eptcs.128.16

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arXiv · 1309.1270

Satisfiability of cross product terms is complete for real nondeterministic polytime Blum-Shub-Smale machines

Christian Herrmann·Johanna Sokoli·Martin Ziegler

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Abstract

Nondeterministic polynomial-time Blum-Shub-Smale Machines over the reals give rise to a discrete complexity class between NP and PSPACE. Several problems, mostly from real algebraic geometry / polynomial systems, have been shown complete (under many-one reduction by polynomial-time Turing machines) for this class. We exhibit a new one based on questions about expressions built from cross products only.

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Christian Herrmann, Johanna Sokoli, Martin Ziegler. 2013-09-05. Satisfiability of cross product terms is complete for real nondeterministic polytime Blum-Shub-Smale machines. https://doi.org/10.4204/eptcs.128.16

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