Incomplete sets in P for logspace-reduction

Reiner Czerwinski

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arXiv · 2201.08501

Incomplete sets in P for logspace-reduction

Reiner Czerwinski

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Abstract

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 $\not=$ P.

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BibTeX RIS

Reiner Czerwinski. 2022-01-19. Incomplete sets in P for logspace-reduction. https://arxiv.org/abs/2201.08501

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