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A directed graph. A classic form of state diagram for a finite automaton (FA) is a directed graph with the following elements (Q, Σ, Z, δ, q 0, F): [2] [3]. Vertices Q: a finite set of states, normally represented by circles and labeled with unique designator symbols or words written inside them
The state diagram from Figure 2 is an example of an extended state machine, in which the complete condition of the system (called the extended state) is the combination of a qualitative aspect—the state variable—and the quantitative aspects—the extended state variables.
An ASM state, represented as a rectangle, corresponds to one state of a regular state diagram or finite-state machine. The Moore type outputs are listed inside the box. State Name. State Name: The name of the state is indicated inside the circle and the circle is placed in the top left corner or the name is placed without the circle. State box
In the state-transition table, all possible inputs to the finite-state machine are enumerated across the columns of the table, while all possible states are enumerated across the rows. If the machine is in the state S 1 (the first row) and receives an input of 1 (second column), the machine will stay in the state S 1.
The state-transition matrix is used to find the solution to a general state-space representation of a linear system in the following form ˙ = () + (), =, where () are the states of the system, () is the input signal, () and () are matrix functions, and is the initial condition at .
If and only if two graph states are locally Clifford equivalent, one graph can be converted into the other by a sequence of so-called "local complementations". [3] This gives a useful tool for studying local Clifford equivalence by a simple graph-manipulation rule and corresponding equivalence classes of graph states have been studied in Refs.
An and-inverter graph (AIG) is a directed, acyclic graph that represents a structural implementation of the logical functionality of a circuit or network. An AIG consists of two-input nodes representing logical conjunction , terminal nodes labeled with variable names, and edges optionally containing markers indicating logical negation .
The graph K is called invariant or sometimes the gluing graph. A rewriting step or application of a rule r to a host graph G is defined by two pushout diagrams both originating in the same morphism:, where D is a context graph (this is where the name double-pushout comes from).