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JOURNALS // Modelirovanie i Analiz Informatsionnykh Sistem // Archive

Model. Anal. Inform. Sist., 2008 Volume 15, Number 1, Pages 16–26 (Mi mais84)

This article is cited in 3 papers

On the decidability of boundedness problems for counter Minsky machines

E. V. Kuzmin, D. Ju. Chalyy

Yaroslavl State University

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.

UDC: 519.68/.69

Received: 12.02.2008



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