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A Small Universal Petri Net

A universal deterministic inhibitor Petri net with 14 places, 29 transitions and 138 arcs was constructed via simulation of Neary and Woods' weakly universal Turing machine with 2 states and 4 symbols; the total time complexity is exponential in the running time of their weak machine. To simulate the blank words of the weakly universal Turing machine, a couple of dedicated transitions insert their codes when reaching edges of the working zone. To complete a chain of a given Petri net encoding to be executed by the universal Petri net, a translation of a bi-tag system into a Turing machine was constructed. The constructed Petri net is universal in the standard sense; a weaker form of universality for Petri nets was not introduced in this work.

preprint2013arXivOpen access
Dmitry A. Zaitsev
Neural and Evolutionary ComputingFormal Languages and Automata TheoryComputational ComplexityDistributed, Parallel, and Cluster Computing
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Dmitry A. Zaitsev

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