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Ivanyi A. (ed.) Algorithms of informatics, vol.2.. functions (2007)(ISBN 9638759623)

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Here two generals must coordinate an attack using couriers that may be destroyed by the enemy. It turns out that it is not possible to solve this problem using a nite 13. Distributed Algorithms 606 number of messages. We prove this fact by contradiction. Assume that there is a protocol used by processors A and B involving a nite number of messages. Let us consider such a protocol that uses the smallest number of messages, say k messages. Assume without loss of generality that the last k th message is sent from A to B .

The notion turns out to be very useful in dening a consistent global state of distributed system. We close the section with distributed algorithms that compute a consistent global state of distributed system. 1. Logical time The design of distributed algorithms is easier when processors have access to (Newtonian) global clock, because then each event that occurs in the distributed system can be labeled with the reading of the clock, processors agree on the ordering of any events, and this consensus can be used by algorithms to make decisions.

2. Ordered broadcast services We now describe implementations of algorithms for various broadcast services. 620 13. Distributed Algorithms Implementing basic broadcast on top of asynchronous point-to-point messaging The bb service is implemented as follows. If event bc-sendi (m, bb) occurs then processor pi sends message m via every link from pi to pj , where 0 ≤ i ≤ n − 1. If a message m comes to processor pj then it enables event bc-recvj (m, i, bb). To provide reliability we do the following.

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