On Time Versus Space
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Author
Hopcroft, John E.
Paul, Wolfgang J.
Valiant, Leslie
Abstract
It is shown that every deterministic multitape Turing machine of time complexity t(n)/log t(n). Consequently, for tape constructable t(n), the class of languages recognizable by multitape Turing machines of time complexity t(n) is strictly contained in the class of languages recognized by Turing machines of tape complexity t(n). In particular, the context sensitive languages can not be recognized in linear time by deterministic multitape Turing machines. Keywords and phrases: Turing machines, time complexity, tape complexity.
Date Issued
1975-12
Publisher
Cornell University
Keywords
Previously Published as
http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR75-264
Type
technical report