(c) Simulate the Turing machine on input "aaba". Does it accept? Draw the final two configurations of the Turing machine computation. In the last configuration, the Turing machine is either in the accept or reject state. (d) Simulate the Turing machine on input "aabb". Does it accept? Draw the final two configurations of the Turing machine computation. In the last configuration, the Turing machine is either in the accept or reject state. (e) Determine whether the Turing Machine accepts or rejects strings "bab" and "bba".

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
Problem 6PE
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Only do part c,d,e,f

Here is a description of a Turing machine. The input alphabet is (a, b). The state set is:
{90, 91, 92, 93, 94, 9acc, Grej}
The transition function is given in the table below:
93
94
(dacc, a, R)
(arej, a, R)
(9₁, b, R)
(92, b, R)
(arej, b, R)
(qacc. b, R)
(arej, *, R)
(93.*, L)
(94.*, L)
(grej. *, R)
(arej, *, R)
(a) Draw the configuration of the Turing machine after 3 steps on input "aabba". When the Turing machine is in the initial
configuration, it has executed zero steps.
a
b
9⁰
(9₁, a, R)
*
91
(q₁, a, R)
(92, b, R)
92
(92, a, R)
(b) For how many steps does the Turing machine run on input string "a" before the Turing machine halts? Does the Turing machine
accept the string "a"?
(c) Simulate the Turing machine on input "aaba". Does it accept? Draw the final two configurations of the Turing machine
computation. In the last configuration, the Turing machine is either in the accept or reject state.
(d) Simulate the Turing machine on input "aabb". Does it accept? Draw the final two configurations of the Turing machine
computation. In the last configuration, the Turing machine is either in the accept or reject state.
(e) Determine whether the Turing Machine accepts or rejects strings "bab" and "bba".
(f) Describe in words the conditions under which the Turing machine accepts the input string.
Transcribed Image Text:Here is a description of a Turing machine. The input alphabet is (a, b). The state set is: {90, 91, 92, 93, 94, 9acc, Grej} The transition function is given in the table below: 93 94 (dacc, a, R) (arej, a, R) (9₁, b, R) (92, b, R) (arej, b, R) (qacc. b, R) (arej, *, R) (93.*, L) (94.*, L) (grej. *, R) (arej, *, R) (a) Draw the configuration of the Turing machine after 3 steps on input "aabba". When the Turing machine is in the initial configuration, it has executed zero steps. a b 9⁰ (9₁, a, R) * 91 (q₁, a, R) (92, b, R) 92 (92, a, R) (b) For how many steps does the Turing machine run on input string "a" before the Turing machine halts? Does the Turing machine accept the string "a"? (c) Simulate the Turing machine on input "aaba". Does it accept? Draw the final two configurations of the Turing machine computation. In the last configuration, the Turing machine is either in the accept or reject state. (d) Simulate the Turing machine on input "aabb". Does it accept? Draw the final two configurations of the Turing machine computation. In the last configuration, the Turing machine is either in the accept or reject state. (e) Determine whether the Turing Machine accepts or rejects strings "bab" and "bba". (f) Describe in words the conditions under which the Turing machine accepts the input string.
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