In theoretical computer science and mathematics, the theory of computation is the branch that deals with how efficiently problems can be solved on a model of computation, using an algorithm. Then the language defined by the grammar , , we will call a Dyck language. Theory of Computation | Applications of various Automata Automata is a machine that can accept the Strings of a Language L over an input alphabet . Most of the graphs are NFA’s or DFA’s. In theoretical computer science and mathematics, the theory of computation is the branch that deals with what problems can be solved on a model of computation, using an algorithm, how efficiently they can be solved or to what degree (e.g., approximate solutions versus precise ones). Closed operations •Union •Concatenation •Star •Complement: L’= Σ*- L –Final state ! In the last century it became an independent academic discipline and was separated from mathematics. This work is licensed under Creative Common Attribution-ShareAlike 4.0 International An automaton with … You can see that an L-graph is just a version of finite automata with an added couple of bracket groups. But NFA’s and DFA’s determine the simplest possible language group: group of regular languages [Chomsky’s hierarchy]. of a’s and b’s}, Context free languages and Push-down automata, Construct a Turing Machine for language L = {0n1n2n | n≥1}, Construct a Turing Machine for language L = {wwr | w ∈ {0, 1}}, Construct a Turing Machine for language L = {ww | w ∈ {0,1}}, Construct Turing machine for L = {an bm a(n+m) | n,m≥1}, Construct a Turing machine for L = {aibjck | i*j = k; i, j, k ≥ 1}, Turing machine for 1’s and 2’s complement, Recursive and Recursive Enumerable Languages, Theory of Computation | Applications of various Automata, Recursively enumerable sets and Turing machines, Theory of computation | Decidable and undecidable problems, Theory of Computation | Decidability and Undecidability, Proof that Hamiltonian Path is NP-Complete, Theory of computation | Computable and non-computable problems, Hypothesis (language regularity) and algorithm (L-graph to NFA), Creative Common Attribution-ShareAlike 4.0 International. Theory of computation is of course a very broad and deep area, and it is anyone’s guess what really should be taught in such course. To conclude, I would like to add three other definitions that I’ll be using in the future. 2. … Automaton, in plural Automatons or Automata is a self operating device. of a’s and b’s}, Context free languages and Push-down automata, Construct a Turing Machine for language L = {0n1n2n | n≥1}, Construct a Turing Machine for language L = {wwr | w ∈ {0, 1}}, Construct a Turing Machine for language L = {ww | w ∈ {0,1}}, Construct Turing machine for L = {an bm a(n+m) | n,m≥1}, Construct a Turing machine for L = {aibjck | i*j = k; i, j, k ≥ 1}, Turing machine for 1’s and 2’s complement, Recursive and Recursive Enumerable Languages, Theory of Computation | Applications of various Automata, Recursively enumerable sets and Turing machines, Theory of computation | Decidable and undecidable problems, Theory of Computation | Decidability and Undecidability, Proof that Hamiltonian Path is NP-Complete, Theory of computation | Computable and non-computable problems, Creative Common Attribution-ShareAlike 4.0 International. 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