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Constructive mathematics in the style of Bishop, including its semantics using realizabilty or topological methods.
2
votes
Accepted
Higher computability : Constructive ordinal and $\Delta^1_1$ predicates
I finaly got an answer from another forum.
The answer is simple, I was assuming that if $A \subseteq \omega$ is $\Delta^1_1(Y)$ it means that there is a $\Pi^1_1$ predicate $F \subseteq \omega \times …
5
votes
1
answer
412
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Higher computability : Constructive ordinal and $\Delta^1_1$ predicates
Everything I know on this subject comes from Sacks book : "Higher recursion theory"
Let $\mathcal{O^Y}$ be the set of codes for ordinals constructive in $Y$.
We should have the result that $A \subse …