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Results tagged with halting-problem
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user 186
Given a program and the input for it, does it halt or run forever?
9
votes
Turing machines whose termination is unprovable?
Termination of a Turing machine (on a fixed input) is a $\Sigma^0_1$ sentence and all usual first-order arithmetic theories are complete for $\Sigma^0_1$ sentences, i.e. all true $\Sigma^0_1$ statemen …
- 21.8k
2
votes
Explanation of 1-generic to prove undecidability of halting problem
A finite prefix of $G$ is $G \cap \{0,1,\ldots n\}$ for some $n$. It is easier if you look at the characteristic function of $G$ which can we viewed as an infinite word in $2^\omega$. Then a finite p …
- 21.8k