String realizers of posets with applications to distributed computing

  title={String realizers of posets with applications to distributed computing},
  author={Vijay K. Garg and Chakarat Skawratananond},
In this paper, we show the connection between vector clocks used in distributed computing and dimension theory of partially ordered sets. Based on this connection, we provide lower bounds on the number of coordinates for timestamping events in a distributed computation for capturing the happened- before relation. To this end, we introduce the notion of a string realizer and the string dimension of a poset. For distributed computing and other applications, the concept of string realizer is more… CONTINUE READING
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Partially order sets

  • B. Dushnik, E. Miller
  • American Journal of Mathematics, 63:600-610,
  • 1941
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