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On the decidability of boundedness problems for counter Minsky machines

Abstract

In the paper the decidability of boundedness problems for counter Minsky machines is investigated. It is proved, that for Minsky machines with two counters the boundedness is partial decidable, but for the total boundedness problem does not even exist a semidecision algorithm. On the other hand, for one-counter Minsky machines all these problems are polinomial (quantitatively of local machine states) decidable.

About the Authors

E. V. Kuzmin
Ярославский государственный университет
Russian Federation


D. Ju. Chalyy
Ярославский государственный университет
Russian Federation


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Review

For citations:


Kuzmin E.V., Chalyy D.J. On the decidability of boundedness problems for counter Minsky machines. Modeling and Analysis of Information Systems. 2008;15(1):16-26. (In Russ.)

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ISSN 1818-1015 (Print)
ISSN 2313-5417 (Online)