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Results tagged with computability-theory
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user 3206
computable sets and functions, Turing degrees, c.e. degrees, models of computability, primitive recursion, oracle computation, models of computability, decision problems, undecidability, Turing jump, halting problem, notions of computable randomness, computable model theory, computable equivalence relation theory, arithmetic and hyperarithmetic hierarchy, infinitary computability, $\alpha$-recursion, complexity theory.
4
votes
Accepted
Recent progress on the busy beaver problem?
Short answer to "is there anything amateurs can do to solve the problem?": Probably no.
Long answer: The amateurs can become professionals and understand why the problem is challenging, and what it m …
- 3,209
5
votes
What are the most attractive Turing undecidable problems in mathematics?
Let a finite structure be a finite underlying set A
along with a finite set of finitary operation from A to
itself. Such creatures are called algebras in the
study of universal algebra, and one su …