However, some of them have a higher degree of unsolvability.
2.
This fact is closely related to the algorithmic unsolvability of the Halting problem.
3.
The lambda calculus emerged in his 1936 paper showing the unsolvability of the Entscheidungsproblem.
4.
These behaviours are a consequence of the unsolvability of the word problem for groups.
5.
The algorithmic unsolvability of the problem was proved by Yuri Matiyasevich in 1970 ( Davis 1973 ).
6.
For example, the conventional proof of the unsolvability of the halting problem is essentially a diagonal argument.
7.
It is in this sense that the Turing degree of a set corresponds to its level of algorithmic unsolvability.
8.
The first results about unsolvability, obtained independently by Church and Turing in 1936, showed that the Entscheidungsproblem is algorithmically unsolvable.
9.
As a result of its unsolvability, several other problems in combinatorial group theory have been shown to be unsolvable as well.
10.
Their proofs demonstrate a connection between the unsolvability of the decision problem for first-order logic and the unsolvability of the halting problem.
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