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synchronized alternation.

RAIRO - Theoretical Informatics and Applications (1)

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The Communication Hierarchy of Time and Space Bounded Parallel Machines
Norbert Popély
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 37 / Issue 2 / April 2003

Published online by Cambridge University Press:

15 November 2003, pp. 159-176

Print publication:

April 2003
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We describe the communicating alternating machines and their simulation. We show that, in the case of communicating alternating machines which are bounded, simultaneously, by polynomial time and logarithmic space, the use of three communication levels instead of two does not increase computational power of communicating alternating machines. This resolves an open problem [2] concerning the exact position of machines with three communication levels in the hierarchy.