5.20 Show that the consensus problem cannot be solved in an asynchronous system with only test&set registers
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5.20 Show that the consensus problem cannot be solved in an asynchronous system with only test&set registers and three processors, if two processors may fail by crashing. The proof may follow Section 5.3.1: 1. Define C {pup} but p; and pj. C' to mean that C is similar to C' for all processors 2. Argue why Lemma 5.16 holds in this case as well. 3. Prove Lemma 5.17 for this model. (This is where most of the work is.)
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Distributed Computing Fundamentals Simulations And Advanced Topics
ISBN: 9780471453246
2nd Edition
Authors: Hagit Attiya, Jennifer Welch
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