Read-write reductions

  • Authors:
  • Eli Gafni

  • Affiliations:
  • Department of Computer Science, UCLA, Los Angeles, CA

  • Venue:
  • ICDCN'06 Proceedings of the 8th international conference on Distributed Computing and Networking
  • Year:
  • 2006

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Abstract

The discovery, more than a decade ago, of the relation between Distributed-Computing (DC) and Algebraic-Topology (AT) raised the specter of requiring checking task solvability to be intimately connected to expertise in AT. Yet, in the area of Centralized Algorithms proving a problem to be NP or PSPACE complete requires more algorithmic expertise than complexity one. In analogy, we show that in DC the equivalent of polynomial-time reductions, is read-write reductions. We define the notion of read-write reduction between distributed tasks, and show that all interesting known read-write impossible tasks can be proven impossible via read-write reduction to a task called Symmetry-Breaking (SB). Discovering a read-write reduction requires solely algorithmic expertise.