Let U be the set of allstrings <M, q> such that M is a Turing machine, q is a st
ID: 3611643 • Letter: L
Question
Let U be the set of allstrings <M, q> such that M is a Turing machine, q is a stateof M, and M neverenters the state q more than once during any computation, i.e.,there exists no input string w such that the computation of M oninput w goes through state q twice or more times.
Prove that the languageU is undecidable by reduction from the halting problem. In otherwords, give
an oracle algorithm RU that, when given access to aprocedure to determine membership in U, correctly decidesHALT. Let U be the set of allstrings <M, q> such that M is a Turing machine, q is a stateof M, and M never
enters the state q more than once during any computation, i.e.,there exists no input string w such that the computation of M oninput w goes through state q twice or more times.
Prove that the languageU is undecidable by reduction from the halting problem. In otherwords, give
an oracle algorithm RU that, when given access to aprocedure to determine membership in U, correctly decidesHALT. Prove that the languageU is undecidable by reduction from the halting problem. In otherwords, give
an oracle algorithm RU that, when given access to aprocedure to determine membership in U, correctly decidesHALT.
Explanation / Answer
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