Learn Automata Theory

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 and discrete mathematics (a subject of study in both mathematics and computer science). The word automata (the plural of automaton) comes from the Greek word αὐτόματα, which means "self-acting".

The figure at right illustrates a finite-state machine, which belongs to a well-known type of automaton. 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 current state and the recent symbol as its inputs.

Automata theory is closely related to formal language theory. An automaton is a finite representation of a formal language that may be an infinite set. Automata are often classified by the class of formal languages they can recognize, typically illustrated by the Chomsky hierarchy which describes the relations between various languages and kinds of formalized logic.

Automata Theory is a branch of computer science that deals with designing abstract selfpropelled computing devices that follow a predetermined sequence of operations automatically. An automaton with a finite number of states is called a Finite Automaton. This is a brief and concise tutorial that introduces the fundamental concepts of Finite Automata, Regular Languages, and Pushdown Automata before moving onto Turing machines and Decidability.

Learn Automata Covers Following Content of Automata

Automata Theory - Home

1. Automata Theory Introduction

2. Deterministic Finite Automaton

3. Non-deterministic Finite Automaton

4. NDFA to DFA Conversion

5. DFA Minimization

6. Moore & Mealy Machines

7. Introduction to Grammars

8. Language Generated by Grammars

9. Chomsky Grammar Classification

10. Regular Expressions

11. Regular Sets

12. Arden's Theorem

13. Constructing FA from RE

14. Pumping Lemma for Regular Grammar

15. DFA Complement

16. Context-Free Grammar Introduction

17. Ambiguity in Grammar

18. CFL Closure Properties

19. CFG Simplification

20. Chomsky Normal Form

21. Greibach Normal Form

22. Pumping Lemma for CFG

23. Pushdown Automata Introduction

24. Pushdown Automata Acceptance

25. PDA & Context Free Grammar

26. PDA & Parsing

27. Turing Machine Introduction

28. Accepted & Decided Language

29. Multi-tape Turing Machine

30. Multi-Track Turing Machine

31. Non-Deterministic Turing Machine

32. Semi-Infinite Tape Turing Machine

33. Linear Bounded Automata

34. Language Decidability

35. Undecidable Language

36. Turing Machine Halting Problem

37. Rice Theorem

38. Post Correspondence Problem

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