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Questions about space resources of computations in computational complexity or algorithms.

6 votes

Intermediate problems between L and NL

Bipartite Planar Perfect Matching is known to be in $\mathsf{UL}$ (though not in $\mathsf{UL} \cap \mathsf{coUL}$). Since Planar Reachability reduces to it, it is $\mathsf{L}$-hard. Ref: Samir Datta, …
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10 votes

Efficient logspace algorithms

I guess Single-source Single-sink Planar DAG (SSPD) reachability has logspace algorithm with a modest running time ($O(n^2)$?). I am not so sure about Single-source Multiple-sink Planar DAG Reachabili …
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13 votes

How to prove that USTCONN requires logarithmic space?

The paper Counting Quantifiers, Successor Relations and Logarithmic Space, by Kousha Etessami proves that the problem $\mathbf{ORD}$ (which is essentially checking if a vertex $s$ precedes a vertex $t …
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