Incomplete sets in P for logspace-reduction

01/19/2022
by   Reiner Czerwinski, et al.
0

In this article, we investigate the behaviour of TMs with time limit and tape space limit. This problem is in P when the time limit is unary coded. If both limits go to infinity, it is undecidable which limit is exceeded first. Thus logspace-incomplete sets in P can be constructed. This implies L ≠ P.

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