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arxiv: 1106.3310 · v1 · pith:GW7HFTZEnew · submitted 2011-06-16 · 🧮 math.LO

The power of backtracking and the confinement of length

classification 🧮 math.LO
keywords computablebelongcurvelengthpointrectifiabletherebacktracking
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We show that there is a point on a computable arc that does not belong to any computable rectifiable curve. We also show that there is a point on a computable rectifiable curve with computable length that does not belong to any computable arc.

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