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arxiv: 1309.1270 · v1 · pith:CQ5DG3PKnew · submitted 2013-09-05 · 💻 cs.CC · cs.LO

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

classification 💻 cs.CC cs.LO
keywords machinesblum-shub-smaleclasscompletecrossnondeterministicpolynomial-timereal
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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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  1. Smoothed Analysis of Order Types

    cs.CG 2019-07 unverdicted novelty 7.0

    Order type realizability, ∃R-complete in the worst case, can be decided in expected NP time under smoothed analysis.