“…Long [Lo85] showed that for every i ≥ 2, if S is a sparse set in Σ P i , then NP(S) is included in ∆ P i+1 ; this has been extended to show that Σ P i (S) is included in ∆ P i+1 [BT89]. These facts suggest that one might extend the notions of highness and lowness to sets outside of NP.…”
Section: Lowness and Sets With Small Information Contentmentioning
“…Long [Lo85] showed that for every i ≥ 2, if S is a sparse set in Σ P i , then NP(S) is included in ∆ P i+1 ; this has been extended to show that Σ P i (S) is included in ∆ P i+1 [BT89]. These facts suggest that one might extend the notions of highness and lowness to sets outside of NP.…”
Section: Lowness and Sets With Small Information Contentmentioning
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