An approach to diagnosability analysis for interacting by Dan Lawesson.

By Dan Lawesson.

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Extra resources for An approach to diagnosability analysis for interacting finite state systems

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This requirement is often referred to as weak fairness [Mil80]. Therefore, even though runs(SD) denotes all the runs of a system SD, we will in the following focus on a subset of these runs, namely the fair runs. A fair run is a run that eventually lets an enabled nonoptional transition take place. That is, a non-fair run is a run where some non-optional transition is enabled forever but never takes place. This is allowed in the definition of runs, but undesirable from a reasoning and modeling point of view.

A fair run is a run that eventually lets an enabled nonoptional transition take place. That is, a non-fair run is a run where some non-optional transition is enabled forever but never takes place. This is allowed in the definition of runs, but undesirable from a reasoning and modeling point of view. We use the id function to define enabled timeouts, which in turn is used to define fairness. For a system SD and state σ ∈ S(SD) we define the set of enabled timeouts tosSD (σ) as follows. 1. Let σ ∈ SD be a system state of system SD.

1 = { c → (wait, ∅), s → (handleRequest, ∅), b → (wait, ∅) } Then, the server and the bus synchronize in two steps. , taking the system to state σ2 . σ2 = { c → (wait, ∅), s → (waitBus, ∅), b → (acking, ∅) } The next step of the system is for the bus to send ack! back to the server, taking the system to state σ3 . σ3 = { c → (wait, ∅), s → (doneBus, ∅), b → (wait, ∅) } Now, the server may send a response back to the client, taking the system back to σ0 . We have found that SD can repeat the cycle σ0 , σ1 , σ2 , σ3 , σ0 .

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