What is Non-Deterministic Turing Machines ?

A Turing Machine with a two-way infinite tape is denoted by (Q,Σ, Γ, δ, q_acc , q₀ , q_rej) as in original model.

Q is a finite and nonempty set of states.

Σ is an alphabet called the input alphabet, which may not include the blank symbol.

Γ is an alphabet called the tape alphabet, which must satisfy Σ ∪ { } ⊆ Γ.

δ is a transition function having the form δ : Q\{ q_acc , q_rej } × Γ → Q × Γ × {←, →}.

q₀ ∈ Q is the initial state.

q_acc, q_rej ∈ Q are the accept and reject states, which must satisfy q_acc ≠ q_rej.

A non-deterministic turing machine is an automaton with a finite control and a single side or says one-way infinite tape. From a given state and a tape symbol scanned by the tape head, the machine has a finite number of choices for the next move. The non-deterministic TM accepts its input if any sequence of choices of moves leads to an accepting state.

Note: Non-deterministic TM is not permitted to make a move in which the next state is selected from one choice and the symbol printed and direction of head motion are selected from other choices. 

 Also, Study about: 

• Mealy Machine
• Moore Machine
• Rice Theorem
• Brief about Turing Machine
• Multi Dimension Turing Machine
• Multiple Turing Machine
• Parikh Theorem in TOC
• Parse Tree or Derivation Tree
• What do you Understand by Derivation
• MyHill Nerode Theorem
• Minimize Myhill Nerode Theorem
• Push Down Automata
• Know Where we use Automata
• What do you understand by Derivation of Grammar
• What is Context-free Grammar
• Example based on CFG
• Regular Expression in TOC

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