New combinatorial topology upper and lower bounds for renaming

  • Authors:
  • Armando Castañeda;Sergio Rajsbaum

  • Affiliations:
  • Instituto de Matematicas, Universidad Nacional Autonoma de Mexico, Mexico D.F., Mexico;Instituto de Matematicas, Universidad Nacional Autonoma de Mexico, Mexico D.F., Mexico

  • Venue:
  • Proceedings of the twenty-seventh ACM symposium on Principles of distributed computing
  • Year:
  • 2008

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Abstract

In the renaming task n+1 processes start with unique input names from a large space and must choose unique output names taken from a smaller name space, namely 0,1,...,K. To rule out trivial solutions, a protocol must be anonymous: the value chosen by a process can depend on its input name and on the execution, but not on the specific process id. Attiya et al. showed in 1990 that renaming has a wait-free solution when K