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

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