Abstract
We introduce a new object, BH, and prove that a system with one BH object and single-writer Registers has the same computational power as a system with countably many commutative and overwriting objects. This provides a simple characterization of the class of objects that can be implemented from commutative and overwriting objects, and creates a potential tool for proving impossibility results.
It has been conjectured that Stacks and Queues shared by three or more processes are not in this class. In this paper, we use a BH object to show that two different restricted versions of Stacks are in this class. Specifically, we give an implementation of a Stack that supports any number of poppers, but at most two pushers. We also implement a Stack (or Queue) shared by any number of processes, but, in which, all stored elements are the same.
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© 2005 Springer-Verlag Berlin Heidelberg
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David, M., Brodsky, A., Fich, F.E. (2005). Restricted Stack Implementations. In: Fraigniaud, P. (eds) Distributed Computing. DISC 2005. Lecture Notes in Computer Science, vol 3724. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11561927_12
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DOI: https://doi.org/10.1007/11561927_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29163-3
Online ISBN: 978-3-540-32075-3
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