Please answer ALL questions. This question asks you to examine the formal defini

Question

Please answer ALL questions.

This question asks you to examine the formal definitions of a TM and related concepts closely. Based on these definitions, answer the following. (a) A configuration of a Turing Machine (TM) consists of three things. What are these three things? (b) Can a Turing machine ever write the blank symbol Union on its tape? (c) Can the tape alphabet Gamma be the same as the input alphabet Sigma? (d) Can a Turing machine's head ever be in the same location in two successive steps? (e) Can a TM contain just a single state? (f) What is the difference between a decidable language and a Turing-recognizable language?

Explanation / Answer

1.
configuration of turing machine consist of
(q,w,u)

-current state q-Q;

-a finite,possibly-empty string w of tape symbol to the left of tape head.

-a finite state.

2. Yes. by looking at the defination of transition function.

3. No.The tape alphabate always contains the blank symbol,but the alphabte cannot contain this symbol.

4. Yes.but the only time this can happen is when the turing machine is on the first tape square and it tries to move left.

5. No.

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