Weizmann Logo
Electronic Colloquium on Computational Complexity

Under the auspices of the Computational Complexity Foundation (CCF)

Login | Register | Classic Style

Reports tagged with nonadaptive queries:
TR98-026 | 5th May 1998
Richard Beigel

Gaps in Bounded Query Hierarchies

Prior results show that most bounded query hierarchies cannot
contain finite gaps. For example, it is known that
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>
and for all sets <i>A</i>
<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> 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 >>>

TR13-073 | 14th May 2013
Oded Goldreich

On the Communication Complexity Methodology for Proving Lower Bounds on the Query Complexity of Property Testing

Revisions: 2

A couple of years ago, Blais, Brody, and Matulef put forward a methodology for proving lower bounds on the query complexity
of property testing via communication complexity. They provided a restricted formulation of their methodology
(via ``simple combining operators'')
and also hinted towards a more general formulation, which we spell ... more >>>

ISSN 1433-8092 | Imprint