Reachability in Petri Nets with Inhibitor arcs
Klaus Reinhardt
University of Tübingen
Overview:
Petrinets informal
: Firing of a transition
Examples
Inhibitor arc
more Examples
Rest of Presentation
paper
Formal definitions, Multisets, new operators, reachability relation
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Petrinets:
Representation as weighted, directed, bitartite Graph.
Firing of a transition:
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Producer
WWWWW
Consumer
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WWW
Producer 1
WWWWW
Producer 2
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Chemical reactions
CaO
WWWWWWWWWWW
H
2
O
WWWWWWWWWWW
CO
2
WWW
Ca(HCO
3
)
2
WWWWWW
Ca(OH)
2
WWWWWWWWWW
H
2
CO
3
WWWW
CaCO
3
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Exponentiation
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Inhibitor arc
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Simulating a register
This divides the number by 2 and multiplies by 3:
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Proposition:
Petrinets with 2 inhibitor arcs are Turing-complete.
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?
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Last modified: by
Klaus Reinhardt