Van Lambalgen's Theorem and High Degrees
نویسندگان
چکیده
We show that van Lambalgen’s Theorem fails with respect to recursive randomness and Schnorr randomness for some real in every high degree and provide a full characterization of the Turing degrees for which van Lambalgen’s Theorem can fail with respect to Kurtz randomness. However, we also show that there is a recursively random real that is not Martin-Löf random for which van Lambalgen’s Theorem holds with respect to recursive randomness.
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ورودعنوان ژورنال:
- Notre Dame Journal of Formal Logic
دوره 52 شماره
صفحات -
تاریخ انتشار 2011