Space-Bounded Simulation of Multitape Turing Machines

A new proof of a theorem of Hopcroft, Paul, and Valiant is presented: every deterministic multitape Turing machine of time complexity T(n) can be simulated by a deterministic Turing machine of space complexity T(n)/log T(n). The proof includes an overlap argument.

Bibliographic Details
Main Authors: Adleman, Leonard M., Loui, Michael C.
Published: 2023
Online Access:https://hdl.handle.net/1721.1/148975
Description
Summary:A new proof of a theorem of Hopcroft, Paul, and Valiant is presented: every deterministic multitape Turing machine of time complexity T(n) can be simulated by a deterministic Turing machine of space complexity T(n)/log T(n). The proof includes an overlap argument.