TM M = (Q, E, I, 8, 90, 9a, gr), where Q = {90, 91, 92, 9a, ¶r}, Σ = {0, 1}, T = {0, 1, L}, and 8 is: 8(90, L) = (gr, U, R) 8(90,0) = (91, 0, R) 8(90, 1) = (go, 1, R) 8(q1, L) = (ga, L, R) 8(91,0) = (9₁, 0, R) 8(91, 1) = (92, 1, R) 8(92, L) = (92, U, R) 8(92,0) = (90, 0, R) 8(92, 1) = (92, 1, R) i. Prove that M is NOT a decider. ii. Mathematically describe the language A that M recognises. Prove that A CL(M). iii. Prove A = L(M). iv. Is A Turing-decidable? [Give clear reasons for your answer. No need for a formal proof.]

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter13: Structures
Section: Chapter Questions
Problem 4PP
icon
Related questions
Question
TM M = (Q, E, I, 6, 90, 9a, qr), where Q = {90, 91, 92, 9a, 9r}, Σ = {0, 1}, r = {0, 1, L}, and 8 is:
8(qo, U)
=
(qr, U, R)
8(90, 0) =
8(go, 1)
(91, 0, R)
(qo, 1, R)
=
8(g1, L) = (ga, U, R)
8(91,0) = (91, 0, R)
8(91, 1) =
(92, 1, R)
=
(92, U, R)
8(92, U)
8(92, 0) =
(90, 0, R)
8(92, 1) = (92, 1, R)
i. Prove that M is NOT a decider.
ii. Mathematically describe the language A that M recognises. Prove that A ≤ L(M).
iii. Prove A = L(M).
iv. Is A Turing-decidable? [Give clear reasons for your answer. No need for a formal proof.]
Transcribed Image Text:TM M = (Q, E, I, 6, 90, 9a, qr), where Q = {90, 91, 92, 9a, 9r}, Σ = {0, 1}, r = {0, 1, L}, and 8 is: 8(qo, U) = (qr, U, R) 8(90, 0) = 8(go, 1) (91, 0, R) (qo, 1, R) = 8(g1, L) = (ga, U, R) 8(91,0) = (91, 0, R) 8(91, 1) = (92, 1, R) = (92, U, R) 8(92, U) 8(92, 0) = (90, 0, R) 8(92, 1) = (92, 1, R) i. Prove that M is NOT a decider. ii. Mathematically describe the language A that M recognises. Prove that A ≤ L(M). iii. Prove A = L(M). iv. Is A Turing-decidable? [Give clear reasons for your answer. No need for a formal proof.]
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Topological Sort
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
C++ for Engineers and Scientists
C++ for Engineers and Scientists
Computer Science
ISBN:
9781133187844
Author:
Bronson, Gary J.
Publisher:
Course Technology Ptr