[PDF] [PDF] Decision Problems

A language L is Turing-acceptable if and only if L is semi-decidable Petersen Balogh (HHU) Halting problem and Universal Turing machine Halting problem



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[PDF] Decidable and Semi-decidable

HALT is not decidable (undecidable) Proof will involve the following Suppose there's some TM H that decides HALT Using this we will get a contradiction



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you should be able to ▷ Explain decidability, undecidability and the halting problem 3 and reductions ▷ Undecidability and semi-decidability 4 To show a problem decidable: write a program to solve it, prove the program terminates



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A problem P is semi-decidable, if P is recursively enumerable There exists a 0 otherwise If the halting problem were decidable, then h were computable



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Semi-decidable • ATM and HTM both semi-decidable using UTM • Show HTM not decidable • Let E be candidate TM to decide HTM Show can't be right



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Hence, L1 is not semi-decidable An important natural language is the “blank tape halting problem” Define HB = {〈M〉Mis a Turing machine and 



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18 oct 2017 · The ε-Halting Problem: recognise TMs that halt on the empty input Many further Theorem 4 5: The Halting Problem is semi-decidable



[PDF] Decision Problems

A language L is Turing-acceptable if and only if L is semi-decidable Petersen Balogh (HHU) Halting problem and Universal Turing machine Halting problem



[PDF] A proof of the not-semidecidability of minimum model entailment

is well known that the complement of the halting problem for Turing machines is not semi-decidable The bulk of the proof has already been done: It is a well 



[PDF] are semi-decidable {Turing Machines}

{ (M,w) M is a TM that halts on string w } Theorem: HALT TM is undecidable THE classical HALTING PROBLEM Proof: Assume, for a contradiction, that TM H

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