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If a disabled process turns to be enabled at time t, the process is said to be triggered at time t.
For a process p ∈ P at time t, if the following conditions are satisfied, then the process p is said to be enabled at time t.
If an enabled process turns to be disabled or a disabled process turns to be enabled at time t, the process is said to be switched at time t.
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Assume that continuous transition t is enabled at time x.
Let S c (t) be the set of continuous processes which are enabled at time t.
□ Definition 2. For arc c = a p, t)∈ PT at time x, we say that c is enabled at time x if the following conditions are satisfied.
For transition t at time x, we say that t is enabled at time x if the following conditions are satisfied.
With respect to their associated control function f r, reactions r as elements of a controled reaction R c = (r, f r) fall into three groups: (I) A reaction that is not applicable to any terminal state can be enabled at all times f r ≡ 1) which means that by minimality no control arcs are pointing to the respective transition in the reconstructed Petri nets.
The prioritization of variants sub-process is useful for selecting which variant the system must adopt at runtime when more than one is variant is enabled at the same time.
The execution of a Petri net is nondeterministic so that when multiple transitions are enabled at the same time any one (or none) of them may fire, thus representing the stochastic nature of the system.
Convexity assumption means that time-sharing mode is enabled at PHY layer.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com