An Omega (n log n) lower bound on the cost of mutual exclusion

  title={An Omega (n log n) lower bound on the cost of mutual exclusion},
  author={Rui Fan and Nancy A. Lynch},
We prove an Ω(n log n) lower bound on the number of non-busywaiting memory accesses by any deterministic algorithm solving n process mutual exclusion that communicates via shared registers. The cost of the algorithm is measured in the state change cost model, a variation of the cache coherent model. Our bound is tight in this model. We introduce a novel information theoretic proof technique. We first establish a lower bound on the information needed by processes to solve mutual exclusion. Then… CONTINUE READING
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