Algorithm AD(knowledge) Sample Clauses

Algorithm AD(knowledge). L In Figure 2 we present an algorithm that implements with different grades of initial knowledge of the system membership, and without using any stable storage variable. The parameter knowledge states the kind of system in which the algorithm is run- ning. Then, if process pi executes the algorithm with the argument none in knowledge r (denoted by AD(none)), process pi is running in HSSr[∅, ∅, c/r]. Similarly, the ar- gument size in knowledge (AD(size)) states that it is running in HSSn[∅, ∅, c/r], and the argument partial in knowledge (AD(partial)) states that it is running in HSSr[∅, Y, c/r], being |Y | ≥ 2, and two processes of Y have different identities. ∅ | | ≥ For each process pi, outputi is initially false (line 1). If knowledge = partial, process pi knows at least two identifiers with different value because it is running in HSSr[ , Y, c/r], being Y 2, and two processes of Y have different identities (these two known identifiers of Y with different value are IDENT1 and IDENT2 in Fig- ure 2). Then, all process pi whose identifier is neither IDENT1 nor IDENT2 changes to true (lines 2-6). In task 1, every η time, each process pi broadcasts (alive, counti) messages that arrive synchronously (at most ∆ units of time later) to the rest of processes of the system (line 10). If knowledge = size, the variable counti is used by each process pi to indicate the maximum number of processes that pi believes may have had true in their variable output at some moment of the run. After ∆ units of time, process pi analyzes the messages received (reci) to see if pi sets outputi to true (lines 12-26). Note that once outputi = true, process pi never changes it to false again while it is running. Only if process pi crashes and recovers, line 1 is executed again and outputi is false another time. We have two cases to analyze depending on the value of knowledge: – knowledge = none or knowledge = partial. If the number of messages received is 0, then outputi = true (lines 20-22). − – knowledge = size. Process pi, using its variable auxi, adds the values of count from all (alive, count) messages received (reci). Then, counti is updated by pi with auxi and the number of messages received (lines 13-19). If process pi does not receive any message or counti is lesser than (n 1), then it sets outputi = true and increases counti in 1 (lines 23-26).
Sample 1
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