Turing Machine Universality of the Game of Life by Paul Rendell

Turing Machine Universality of the Game of Life by Paul Rendell

Author:Paul Rendell
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham


(5.3)

The average number of SUTM cycles for one cycle of T will be:

(5.4)

If the transitions where in a random order the average size of each of the relative links will depend on where the transition is in the list. If the transition is at one end the links will be on average half of one less than the total number of links. If the transition is in the middle of the list the average size of the links will be a quarter of one less than the total number of links. The average link is therefore long. The average size of a transition would be and the average SUTM cycle will be:



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