Alpha Recursion Theory - Results in Recursion

Results in Recursion

Shore's splitting theorem: Let A be recursively enumerable and regular. There exist recursively enumerable such that

Shore's density theorem: Let A, C be α-regular recursively enumerable sets such that then there exists a regular α-recursively enumerable set B such that .

Read more about this topic:  Alpha Recursion Theory

Famous quotes containing the words results in and/or results:

    The restlessness that comes upon girls upon summer evenings results in lasting trouble unless it is speedily controlled. The right kind of man does not look for a wife on the streets, and the right kind of girl waits till the man comes to her home for her.
    Sedalia Times (1900)

    Being a parent is unlike any previous job—the results of any one action are not clearly visible for a long time, if at all.
    —Anonymous Mother. As quoted in Between Generations by Ellen Galinsky, ch. 2 (1981)