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Finite automata, also known as automata theory, refers to the idea of machines that are constructed with discrete switching mechanisms. These switches can be in the form of a square grid, which is called a "state table". One type of finite automaton computer program is called Conway's Game of Life. It is designed to simulate how life would play out in an infinite grid where each cell can either contain one or three lives. This finite automaton model has inspired many similar models that have appeared in popular culture such as The Sims and Minecraft. "State Table: A finite automaton is defined by a "state table". A state table consists of a finite (but possibly empty) number of rows and columns. Each row has the same number of columns. Each column contains one or more entries, each entry representing a state." "The column headed by the symbol “S” contains all states from which transitions can originate." "A transition is defined as a triplet of cells, with an arrow pointing from the source to the target cell. The first member of this triplet indicates the direction in which the arrow points. The second member indicates whether or not this transition is allowed." "The third member, if present, specifies a condition under which this transition is taken. This is called a “trapswitching” rule. For example, the transition %S%S%S%S%S%S%S%, which means that it takes three lives from the source and uses them to jump to the target cell, is allowed only if no other cells in any other loop are alive." "The leftmost column contains all states from which transitions cannot originate. Similarly, the rightmost column contains all states which cannot be reached by any possible transitions." "Square: A square (or rectangle) consists of a finite number of rows and columns. The cells in a square can have two states, "dead" or "alive". A square is also an automaton. The rows are labeled with 1 for "dead" and 0 for "alive". The columns are labeled with 0 for dead and 1 for alive." "Square Grid: A square grid consists of a finite number of identical squares. The cells in a square grid can have two states, "dead" or "alive". A square grid is also an automaton. The rows are labeled with numbers from 0 to N-1, where N is the total number of rows." "State Table Square Grid: This particular model was constructed to simulate Conway's Game of Life by Conway in 1949. The state table square grid automaton, or simply the "Finite State Square Grid (FSG) (although it is also sometimes called the "Continuous Square Grid (CSG)" - Conway, 1979), is an automaton with one row and N×N square cells." "An FSG cell is either alive or dead. The FSG matrix holds all the states of the automaton. A row or column can be designated as TRUE for a live cell, FALSE for a dead cell, and UNDEFINED otherwise. If there is any unassigned row or column, then that row or column must be UNDEFINED. cfa1e77820
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