Abstract
We consider decidability questions for simulation preorder (and equivalence) for processes generated by one-counter machines. We sketch a proof of decidability in the case when testing for zero is not possible, and demonstrate the undecidability in the general case.
The first and third authors are partially supported by the Grant Agency of the Czech Republic, Grant No. 201/97/0456. The second author is partially supported by TFR grant No. 221-98-103.
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References
Abdulla, P., K. Čerāns (1998). Simulation is decidable for one-counter nets (Extended Abstract.) In Proceedings of CONCUR’98, Lecture Notes in Computer Science 1466:253–268.
Jančar, P. (1997). Decidability of bisimilarity for one-counter processes.In Proceedings of ICALP’97, Lecture Notes in Computer Science 1256:549–559. (Revised version to appear in The Journal of Information and Computation).
Jančar, P.,F. Moller (1999). Simulation on one-counter nets via colouring. Uppsala Univ. CSD Report No.159, February 1999. http://www.csd.uu.se/papers/reports.html
Moller, F. (1996). In finite results. Proceedings of CONCUR’96, Lecture Notes in Computer Science 1119:195–216.
Minsky, M. (1967). Computation: Finite and In finite Machines. Prentice-Hall, Englewood Cliffs, NJ.
Valiant, L.G., M.S. Paterson (1975).Deterministic one-counter automata. Journal of Computer and System Science 10:340–350.
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© 1999 Springer-Verlag Berlin Heidelberg
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Jančar, P., Moller, F., Sawa, 1. (1999). Simulation Problems for One-Counter Machine. In: Pavelka, J., Tel, G., Bartošek, M. (eds) SOFSEM’99: Theory and Practice of Informatics. SOFSEM 1999. Lecture Notes in Computer Science, vol 1725. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47849-3_28
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DOI: https://doi.org/10.1007/3-540-47849-3_28
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