Definitions from Wiktionary (Petri net)

▸ noun:  One of several mathematical representations of discrete distributed systems, a 5-tuple (S,T,F,M_0,W)!, where
▸ noun:  S is a set of places.
▸ noun:  T is a set of transitions.
▸ noun:  S and T are disjoint, i.e. no object can be both a place and a transition
▸ noun:  F is a set of arcs known as a flow relation. The set F is subject to the constraint that no arc may connect two places or two transitions, or more formally: F⊆(S×T)∪(T×S).
▸ noun:  M_0:S→ℕ is an initial marking, where for each place s∈S, there are n_s∈ℕ tokens.
▸ noun:  W:F→ℕ⁺ is a set of arc weights, which assigns to each arc f∈F some n∈ℕ⁺ denoting how many tokens are consumed from a place by a transition, or alternatively, how many tokens are produced by a transition and put into each place.



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