A Note on Culik-Yu Classes

Klaus Sutner · Complex Systems · 1989

Culik and Yu suggested a classification of cellular a u­ tomata into four classes based on Wolfram's earlier heuristic classifi­ cation. The purpose of this note is to determine the position of these classes within th e arithmetical hierarchy. We will show t hat CLASS ONE and C LASS T wo are rrg-complete whereas C LASS THREE is ~g­ complete . C LASS FOUR is tri vial.

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