Algorithms of informatics, vol. 2 by Ivanyi A. (ed.)

By Ivanyi A. (ed.)

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Processor executes instructions, and stores vector timestamps in consecutive entries of the table. Specifically, entry m of the table is the vector timestamp V Ti [m] of the mth instruction executed by the processor; we define V Ti [0] to be the zero vector. Processor pi begins calculating a cut right after the moment when the processor has executed instruction number ki . The processor determines the largest number ki ≥ 0 that is at most ki , such that the vector V Ti [ki ] is majorised by K. The vector K = (k1 , .

If they are executed by the same processor, then x cannot be executed before y, and so x is executed after y. Thus, by monotonicity of vector timestamps, y

5-2 Show that any vector clock that captures concurrency between n processors must have at least n coordinates. 5-3 Show that the vector K calculated by the algorithm Consistent-Cut is in fact a maximal consistent cut majorised by K. That is that there is no K that majorises K and is different from K , such that K is majorised by K. 6. Communication services Among the fundamental problems in distributed systems where processors communicate by message passing are the tasks of spreading and gathering information.

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