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Satisfiability of cross product terms is complete for real nondeterministic polytime Blum-Shub-Smale machines (1309.1270v1)

Published 5 Sep 2013 in cs.CC and cs.LO

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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