left-r.e关闭。集

Sanjay Jain, F. Stephan, Jason Teutsch
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引用次数: 3

摘要

一个集合叫做r闭左r.e。如果每个集合r可约为它也是一个左r。集。结果表明,有些人(但不是全部)离开了r.e.。内聚集是一个多闭左旋集。集。升序约简是通过升序函数进行的多次约简;left-r.e。内聚集合也在上升封闭的左旋。集。进一步证明了存在一个弱1-一般多- 1闭左正则子。集。
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Closed left-r.e. sets
A set is called r-closed left-r.e. iff every set r-reducible to it is also a left-r.e. set. It is shown that some but not all left-r.e. cohesive sets are many-one closed left-r.e. sets. Ascending reductions are manyone reductions via an ascending function; left-r.e. cohesive sets are also ascening closed left-r.e. sets. Furthermore, it is shown that there is a weakly 1-generic many-one closed left-r.e. set.
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