Abstract
Chandy et al. proposed the methodology of “self-similar algorithms” for distributed computation in dynamic environments. We further characterize the class of functions computable by such algorithms by showing that self-similarity induces an additive relationship among the level-sets of such functions. Angluin et al. introduced the population protocol model for computation in mobile sensor networks and characterized the class of predicates computable in a standard population. We define and characterize the class of self-similar predicates and show when they are computable by a population protocol.
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Bhatia, S., Bartoš, R. (2008). Self-similar Functions and Population Protocols: A Characterization and a Comparison. In: Garg, V., Wattenhofer, R., Kothapalli, K. (eds) Distributed Computing and Networking. ICDCN 2009. Lecture Notes in Computer Science, vol 5408. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92295-7_32
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DOI: https://doi.org/10.1007/978-3-540-92295-7_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-92294-0
Online ISBN: 978-3-540-92295-7
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