On computational complexity and honest polynomial degrees (Q2277252)

From MaRDI portal
scientific article
Language Label Description Also known as
English
On computational complexity and honest polynomial degrees
scientific article

    Statements

    On computational complexity and honest polynomial degrees (English)
    0 references
    1991
    0 references
    No \(\Delta^ 0_ 2\) set A with \(\bar A\) and A both semilow has a minimal honest polynomial (hp-)degree. The hp-degrees and polynomial degrees of low r.e. sets are dense, showing, for example, that r.e. sets of minimal hp-degree have high computational complexity in Blum-Marques' sense. Similar results can be obtained for tally degrees and polynomial (honest) m-degrees.
    0 references
    honest m-degrees
    0 references
    honest polynomial degree
    0 references
    polynomial degrees of low r.e. sets
    0 references
    tally degrees
    0 references
    0 references

    Identifiers