By Ivanyi A. (ed.)
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Extra info for Algorithms of informatics, vol. 2
But if processor p0 receives m before m, which may happen, then this execution violates Causal Order. Note that trivially Single-Source FIFO requirement is preserved, since each processor broadcasts only one message. We denote by bb the Basic Broadcast service, by ssf the Single-Source FIFO, by co the Causal Order and by to the Total Order service. Reliability requirements. 6. Communication services 621 Integrity: each message m received in event bc-recv has been sent in some bc-send event. No-Duplicates: each processor receives a message not more than once.
Both Integrity and No-Duplicates properties are the same as in the reliable broadcast service, the only difference (which follows from the specification of the gossip problem) is in Liveness requirements: Non-faulty Liveness: the rumor of every non-faulty processor must be known by each non-faulty processor. Faulty Liveness: if processor pi has crashed during execution then each non-faulty processor either knows the rumor of pi or knows that pi is crashed. The efficiency of gossip algorithms is measured in terms of time and message complexity.
5-1 Show that logical time preserves the happens before (
Algorithms of informatics, vol. 2 by Ivanyi A. (ed.)