Question: Question 3: a. The following instance of Posts correspondence problem does not have a solution. Give an explanation why no solution can exist for this

Question 3:

a. The following instance of Posts correspondence problem does not have a solution. Give an explanation why no solution can exist for this instance. {(, ), (, ), (, )}

b. Construct a DFA that accepts all binary words that are not divisible by 5. Explain your construction.

c. Briefly explain in one or two paragraphs how to construct a DFA for pattern matching in a text. Explain how the properties of the pattern can be used in the construction.

d. Briefly explain in one or two paragraphs what does it mean for a problem to be undecidable?

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