Complex Systems

n-Skip Turing Machines Download PDF

Wiktor K. Macura
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Department of Mathematics and Statistics,
University of Maryland, Baltimore County,
Baltimore, Maryland, 21228


A Turing Machine's head is limited to moving one cell in either direction on the tape for a given iteration. We investigate a form of Turing Machine where the head is allowed to move n cells in either direction. We find that such Turing Machines, named n-Skip Turing Machines, are capable of exhibiting complex behavior for simple initial conditions with two states and two colors.