Question: Let us consider the Turing machine M1 = ({s0, s1, s2, s3, s4, s5}, {0, 1, 2}, {0, 1, 2, x, y, z, ?}, ?,

Let us consider the Turing machine M1 = ({s0, s1, s2, s3, s4, s5}, {0, 1, 2}, {0, 1, 2, x, y, z, ?}, ?, s0), with the following transition function represented as a table:

?

0

1

2

x

y

z

?

s0

(s1, x, R)

?

?

?

(s4, y, R)

?

?

s1

(s1, 0, R)

(s2, y, R)

?

?

(s1, y, R)

?

?

s2

?

(s2, 1, R)

(s3, z, L)

?

?

(s2, z, R)

?

s3

(s3, 0, L)

(s3, 1, L)

?

(s0, x, R)

(s3, y, L)

(s3, z, L)

?

s4

?

?

?

?

(s4, y, R)

(s4, z, R)

(ha, ?, R)

a. Show that 001122 is accepted by M1 . Describe the step-by-step transitions of the Turing machine when accepting this string;

b. What is L(M1)?

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