Nondetermism

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In common processing event selection in BP is deterministic. However, in some cases it is desired to specify nondetermistic choices - e.g., when simulating environment behavior using b-threads as part of model checking. The BPmc model checker explores all possible execution paths defined by this nondeterminism.

Setting up nondeterminism:

  • In BP, event selection is deteremined by the unique priority of each b-thread, and by the order of events in the requested event set.
  • When the difference in priority of two b-threads is less than a given "epsilon" (a real number provided by the user), the two b-threads are considered of same priority. For example, to create 48 bthreads of the same priority, choose epsilon of 1.00 and create the set of these b-threads so that their priorities have the same whole part and differ only by fractional part. (e.g. priority values of 7.001 – 7.048). The value of "epsilon" is determined by
. . . 
  • In a given requested-events set, events that are in the same second level event set are considered of same priority . E.g. in the requested event set R={a, {b,c,d},{e,f,g}}. b,c,d are considered of the same priority, and e,f,g are considered of the same priority.

How BPJ determines non-detereministic selection : Scan b-threads in order of priority Scan the requested event set of each b-thread in event order (the set is enumerable. When the first event that is requested and not blocked is found it is one alternative. If it was in a second level event set (a set within a set), all its siblings in the same set are considered having the same priority, and are added as alternatives (if not blocked). If it is in a first level of the requested event set, this event is the only one from this b-thread. When done with the alternatives from one b-thread (first requested and not blocked, and possibly its sibling in the second level set) –go to the next b-thread of “same” priority as defined with epsilon, and repeat the above . At most one second-level set will be selected from the requested events of that b-thread, but not necessarily the first one). Example