Automata Theory

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It involves exploring mathematical models for computing machines, known as automata, and their properties.

"One automaton with a finite number of states is called a Finite Automaton (FA) or Finite-State Machine (FSM)."
"An automaton (automata in plural) is an abstract self-propelled computing device which follows a predetermined sequence of operations automatically."
"The word automata comes from the Greek word αὐτόματος, which means 'self-acting, self-willed, self-moving'."
"This automaton consists of states (represented in the figure by circles) and transitions (represented by arrows)."
"As the automaton sees a symbol of input, it makes a transition (or jump) to another state, according to its transition function, which takes the previous state and current input symbol as its arguments."
"Automata are used as finite representations of formal languages that may be infinite."
"The Chomsky hierarchy describes a nesting relationship between major classes of automata."
"Automata play a major role in the theory of computation, compiler construction, artificial intelligence, parsing, and formal verification."
"Automata theory is the study of abstract machines and automata, as well as the computational problems that can be solved using them."
"It is a theory in theoretical computer science with close connections to mathematical logic."
"Automata are often classified by the class of formal languages they can recognize."
"States are represented in the figure by circles."
"Transitions are represented by arrows."
"The transition function takes the previous state and current input symbol as its arguments."
"A Finite Automaton (FA) is also known as a Finite-State Machine (FSM)."
"An automaton follows a predetermined sequence of operations automatically."
"Self-acting means that the device operates on its own without external control."
"An automaton is an abstract self-propelled computing device."
"Automata can recognize formal languages."
"Automata play a major role in compiler construction."