Turing Machines:

• The Structure of Turing machines
• Deterministic Turing machines represented by DTM

-   Accepting a language

-   Computing a function

• Composite Turing machines
• Multitape Turing machines
• Nondeterministic Turing machines represented by NTM
• Universal Turing machines represented by UTM

• Determine if an input x is in a Determine if an input x is in a language.

-   That is, answer if the answer of a problem P for the instance x is "yes".

• Compute a function

-   Given an input x, what is f(x)?

-   language.

-   That is, answer if the answer of a problem P for the instance x is "yes".

• Compute a function

-   Given an input x, what is the value for  f(x)?

Working of turing machine:

• In the beginning,

-   ATM is in the initial state

-   its tape head points at the 1st cell

-   The tape contains D, following by input string, and rest of the tape contains D.

• For each move, a TM

-   reads symbol under its tape head

-   In accordanve to the transition function on the symbol read from tape and its current state, the TM:

• write down the symbol on tape
• move its tape head to the left or right one cell or not
• changes its state to next state

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