Nullifying randomness and genericity using symmetric difference
نویسندگان
چکیده
For a class C of sets, let us say that a set A is C stabilising if A 4 X ∈ C for every X ∈ C. We prove that the Martin-Löf stabilising sets are exactly the K-trivial sets, as are the weakly 2-random stabilising sets. We also show that the 1-generic stabilising sets are exactly the computable sets.
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ورودعنوان ژورنال:
- Ann. Pure Appl. Logic
دوره 168 شماره
صفحات -
تاریخ انتشار 2017