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Constructive mathematics in the style of Bishop, including its semantics using realizabilty or topological methods.

2 votes
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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 …
Archimondain's user avatar
5 votes
1 answer
412 views

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 …
Archimondain's user avatar