Abstract
In this paper, we define mathematical formalism of Petri nets and graph states, presents found properties of Petri nets: unrecorded original data and loss of state. Provides a method of inversion colored Petri nets, directed arcs that are inherent in the change of data types in tags.

When inversion Petri nets certain design appear earlier unrecorded state, which should be considered unusable and take them into account in the analysis. In implementing the inversion followed by the construction of a state graph inverted Petri net, be aware that some conditions inherent in the direct graph will not be investigated, since the corresponding branch in which they are located, has a finite, possibly deadlock, state. Thus, when the inversion Petri nets, state graph, which has several branches and the condition that the state of different branches in relation to each other do not have covering property, partially investigated with respect to line of graph net.

Colored Petri nets as opposed to simple have the ability to change the data type from the labels in the process, i.e. direct inversion (change of direction relationships among vertices Petri nets) for this case is not suitable – proposed rule that performs the inverse data Petri nets.

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