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Timeline for Quantifier elimination in $S^1$

Current License: CC BY-SA 4.0

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Jan 20, 2022 at 11:43 comment added H A Helfgott @DimaPasechnik Yes, that's the point. I was dealing with a problem with two variables in $S^1$. I can actually solve it by hand, but I'll come across similar problems, and I was wondering whether they could be solved by barrel-organ.
Jan 19, 2022 at 17:40 comment added Dima Pasechnik in practice, quantifier elimination is very slow already for 3 or 4 real variables.
Jan 18, 2022 at 21:05 comment added H A Helfgott Very lucky, as in, a simplification?
Jan 18, 2022 at 21:04 comment added Sam Nead Well, yes. But perhaps you might get very very very lucky and thus not have to do any work this way. (Worst case analyses do not necessarily apply to particular cases.)
Jan 18, 2022 at 21:03 comment added H A Helfgott ... and cylindrical decomposition has doubly exponential complexity on the number of variables.
Jan 18, 2022 at 21:02 comment added H A Helfgott Ooops. OTOH, this will be completely unpractical, since it doubles the number of variables.
Jan 18, 2022 at 20:56 history answered Sam Nead CC BY-SA 4.0