A note on time hierarchies for reasonable semantic classes without advice

Hao Wu

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arXiv · 1711.11158

A note on time hierarchies for reasonable semantic classes without advice

Hao Wu

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Abstract

We show time hierarchies for reasonable semantic classes without advice by eliminating the constant bits of advice in previous results.The elimination is done by a contrapositive argument that for any reasonable computational model,let $\text{CTIME}(f(n))/{g(n)}$ denote the set of all languages decide by machines running in time $O(f(n))$ with advice of $g(n)$ bits in that model, if $\text{CTIME}(t(n))\subseteq \text{CTIME}(T(n))/{A(n)}$ then $\text{CTIME}(t(n))/a \subseteq \text{CTIME}(T(n))/{a+2^aA(n)}$ where $a$ is a constant integer.

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Hao Wu. 2017-11-29. A note on time hierarchies for reasonable semantic classes without advice. https://arxiv.org/abs/1711.11158

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