Date: 24 May 2005

Linear time simulation of multihead turing machines with head — To-head jumps

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The main result of this paper shows that, given a Turing machine with several read-write heads per tape and which has the additional one move shift operation "shift a given head to the position of some other given head", one can effectively construct a multitape Turing machine with a single read-write head per tape which simulates it in linear time; i.e. if the original machine operates in time T(n), then the simulating machine will operate in time cT(n), for some constant c.

This research was supported by NSF grant MCS-74-02338A01 and is registered by the Mathematical Centre as report IW 79/77.
On leave from the Computer Science Division, Dept. APIS, University of California, San Diego.