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**Theory of Automata:**

Theory of automata Theory of automata is a theoretical branch of computer science and mathematical. It is the study of abstract machines and the computation problems that can be solved using these machines. The abstract machine is called the automata. The main motivation behind developing the automata theory was to develop methods to describe and analyze the dynamic behavior of discrete systems.

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Automata theory is closely related to formal language theory. In this context, automata are used as finite representations of formal languages that may be infinite. Automata are often classified by the class of formal languages they can recognize, as in the Chomsky hierarchy, which describes a nesting relationship between major classes of automata.

**CS402 Theory of Automata:**

Automata play a major role in theory of computation, compiler construction, artificial intelligence, parsing and formal verification. The theory of abstract automata was developed in the mid-20th century in connection with finite automata. Automata theory was initially considered a branch of mathematical systems theory.

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studying the behavior of discrete-parameter systems. Early work in automata theory differed from previous work on systems by using abstract algebra to describe information systems rather than differential calculus to describe material systems.

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The theory of the finite-state transducer was developed under different names by different research communities. The earlier concept of Turing machines were also included in the discipline along with new forms of infinite-state automaton, such as pushdown automata.