Abstract

The structure of nondeterministic computations is extremely complicated. C-graphs are abstract representations of the branching structure of nondeterministic computations. The paper investigates the structure of finite state nondeterministic computations by showing that the complexity of the structure increases non-elementarily while the number of computation steps increases. This is achieved by establishing a recursive equation relating the number of C-graphs of a certain height to the number of C-graphs of smaller height.

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