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This tag is used if a reference is needed in a paper or textbook on a specific result.
6
votes
Reference for a "recursive" fragment of infinitary logic?
Yes, these are called computable infinitary formulas. I recommend the following references (as a matter of taste I prefer them to Barwise...don't remember why...possibly just it's more canonical in m …
2
votes
Notion of independence of Turing degrees
I think we can work out the basic properties of this notion right here. Let $\mathbf{d_0}$ and $\mathbf{d_1}$ be our degrees.
In the following situation $\mathbf{d_0}$ and $\mathbf{d_1}$ are not in …
3
votes
On independence and large cardinal strength of physical statements
In my opinion one of the best examples of a physical statement depending on a mathematically independent statement is provided by Malament-Hogarth machines (You can find a bunch of other links just by …
3
votes
On Applications of Forcing in Domain Theory
Note that forcing techniques are frequently used in computability theory, e.g., to establish the existence of degrees with certain properties. I refer the reader to Odifreddi's Handbook of Computabil …