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Theoret. Informatics Appl. 37, 159-176 (2003)
DOI: 10.1051/ita:2003012
The Communication Hierarchy of Time and Space Bounded Parallel Machines
Norbert PopélyDepartment of Computer Science, P. J. Safárik University, Jesenná 5, 04154 Kosice, Slovakia; popely@mail.com.
(Received June, 2001. Accepted August, 2003.)
Abstract
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.
Mathematics Subject Classification. 03D15
Key words: Computational complexity -- synchronized alternation.
© EDP Sciences 2003
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