The Global Power of Additional Queries to Random Oracles

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1993-02-09
Authors
Lutz, Jack
Martin, David
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Computer Science

Computer Science—the theory, representation, processing, communication and use of information—is fundamentally transforming every aspect of human endeavor. The Department of Computer Science at Iowa State University advances computational and information sciences through; 1. educational and research programs within and beyond the university; 2. active engagement to help define national and international research, and 3. educational agendas, and sustained commitment to graduating leaders for academia, industry and government.

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The Computer Science Department was officially established in 1969, with Robert Stewart serving as the founding Department Chair. Faculty were composed of joint appointments with Mathematics, Statistics, and Electrical Engineering. In 1969, the building which now houses the Computer Science department, then simply called the Computer Science building, was completed. Later it was named Atanasoff Hall. Throughout the 1980s to present, the department expanded and developed its teaching and research agendas to cover many areas of computing.

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1969-present

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It is shown that, for every k>0 and every fixed algorithmically random language B, there is a language that is polynomial-time, truth-table reducible in k+1 queries to B but not truth-table reducible in k queries in *any* amount of time to *any* algorithmically random language C. In aprticular, this yields the separation P (RAND) is a proper subset of P (RAND), k-tt (k+1)-tt where RAND is the set of all algorithmically random languages.

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