turing machines and cellular automata
Turing machines are theoretical abstract devices used in computer science to compute functions, simulate algorithms, and demonstrate computational concepts. They consist of an infinitely long tape divided into discrete squares, a read-write head that can move back and forth on the tape, and a set of rules or instructions for the head to follow. These machines can perform any computable function if given enough time and memory. Cellular automata, on the other hand, are mathematical models used to study the behavior of complex systems by dividing them into simple discrete units called cells. Each cell can be in a certain state, and its state evolves over time based on a set of predefined rules and the states of its neighboring cells. This parallel processing allows cellular automata to exhibit emergent behavior and simulate various phenomena, such as biological growth, physical simulations, and even game of life.
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