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  1. Bounded truth table does not reduce the one-query tautologies to a random oracle.Toshio Suzuki - 2005 - Archive for Mathematical Logic 44 (6):751-762.
    The relativized propositional calculus is a system of Boolean formulas with query symbols. A formula in this system is called a one-query formula if the number of occurrences of query symbols is just one. If a one-query formula is a tautology with respect to a given oracle A then it is called a one-query tautology with respect to A. By extending works of Ambos-Spies (1986) and us (2002), we investigate the measure of the class of all oracles A such that (...)
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  • Does truth-table of linear norm reduce the one-query tautologies to a random oracle?Masahiro Kumabe, Toshio Suzuki & Takeshi Yamazaki - 2008 - Archive for Mathematical Logic 47 (2):159-180.
    In our former works, for a given concept of reduction, we study the following hypothesis: “For a random oracle A, with probability one, the degree of the one-query tautologies with respect to A is strictly higher than the degree of A.” In our former works (Suzuki in Kobe J. Math. 15, 91–102, 1998; in Inf. Comput. 176, 66–87, 2002; in Arch. Math. Logic 44, 751–762), the following three results are shown: The hypothesis for p-T (polynomial-time Turing) reduction is equivalent to (...)
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