Consider the set RejTM = { (M, w) : M is a TM such that M rejects on input w}. (a) Describe an element in the set and one not in the set. You should provide pseudocode for any TM you discuss. (b) Prove Rej™M is recognisable. Hint: Similar to the proof of Halt™

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Consider the set Rej™M = {(M, w) : M is a TM such that M rejects on input w}.
(a) Describe an element in the set and one not in the set. You should provide pseudocode
for any TM you discuss.
(b) Prove RejTM is recognisable. Hint: Similar to the proof of Halt™M
Transcribed Image Text:Consider the set Rej™M = {(M, w) : M is a TM such that M rejects on input w}. (a) Describe an element in the set and one not in the set. You should provide pseudocode for any TM you discuss. (b) Prove RejTM is recognisable. Hint: Similar to the proof of Halt™M
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