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Post's theorem

 Home Mathematics Fields of mathematics Foundations of mathematics Theorems in the foundations of mathematics
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Post's theorem, named after Emil Post, is a result in the field of mathematical logic and computability theory. It specifically deals with the properties of recursively enumerable sets, particularly in the context of formal languages and decision problems. The theorem states that: **"For any countable set of recursive (or computable) functions, there exists a recursively enumerable set that captures all the functions from the set.

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