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REPORTS > KEYWORD > UPWARD COLLAPSE:
Reports tagged with upward collapse:
TR98-026 | 5th May 1998
Richard Beigel

Gaps in Bounded Query Hierarchies

<html>
Prior results show that most bounded query hierarchies cannot
contain finite gaps. For example, it is known that
<center>
P<sub>(<i>m</i>+1)-tt</sub><sup>SAT</sup> = P<sub><i>m</i>-tt</sub><sup>SAT</sup> implies P<sub>btt</sub><sup>SAT</sup> = P<sub><i>m</i>-tt</sub><sup>SAT</sup>
</center>
and for all sets <i>A</i>
<ul>
<li> FP<sub>(<i>m</i>+1)-tt</sub><sup><i>A</i></sup> = FP<sub><i>m</i>-tt</sub><sup><i>A</i></sup> implies FP<sub>btt</sub><sup><i>A</i></sup> = FP<sub><i>m</i>-tt</sub><sup><i>A</i></sup>
</li>
<li> P<sub>(<i>m</i>+1)-T</sub><sup><i>A</i></sup> = P<sub><i>m</i>-T</sub><sup><i>A</i></sup> implies P<sub>bT</sub><sup><i>A</i></sup> = ... more >>>




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