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Results tagged with computability-theory
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user 10384
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
Further research on relevant realizability etc
I thought this was an interesting question and so I asked some relevant logicians on Mastodon. Here's a quick summary of the answers, although the short version seems to be "No", with Shawn Standefer …
- 1,094
10
votes
3
answers
1k
views
New research on coding in reverse mathematics?
Coding is obviously a fundamental tool in reverse mathematics, and practitioners take care to both demonstrate the correctness of their coding mechanisms and point out their limitations. Harvey Friedm …
- 4,359
5
votes
1
answer
231
views
Attribution of an equivalence of the existence of omega-models of RCA0
There are many well-known equivalences in reverse mathematics between statements of the form "Every set is contained a countable coded $\omega$-model of $T$" and $S$, where $S, T$ are subsystems of se …
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- 1