The halting problem is undecidable, meaning that no general algorithm exists that solves the halting problem for all possible program–input pairs.
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A problem is decidable if such an algorithm exsits. The first problem (deciding whether or not two DFAs are equivalent) is decidable. The second two problems ...
Jan 6, 2021 · The problem of deciding whether, given a Turing machine T and a word w, T(w) halts is undecidable. If a Turing machine T is fixed, ...
Nov 20, 2019 · To understand better the halting problem, we must know Decidability, Undecidability and Turing machine, decision problems and also a theory ...
Jan 26, 2012 · Strictly speaking, an actual computer has a finite number of possible states, which means that any non-halting behavior must be periodic, so you ...
Dec 7, 2017 · There seems to be a misunderstanding of the problem. The halting problem is a proof by contradiction. It involves taking any proposed solution, ...
May 12, 2020 · Turing proved that this problem is undecidable, which means that we fundamentally cannot implement the function in a way that always returns the ...
In 1936, Alan Turing proved that the halting problem over Turing machines is undecidable using a Turing machine; that is, no Turing machine can decide correctly ...
Dec 26, 2022 · To decide if a given computable function is surjective has complexity complete Π02, and so this is undecidable, but not reducible to the halting ...
The halting problem can be used to show that other problems are undecidable. Totality Problem: A function (or program) F is said to be total if F(x) is defined ...