Abstract
We study the fine structure of the classification of sets of natural numbers A according to the number of queries which are needed to compute the n-fold characteristic function of A. A complete characterization is obtained relating the question to finite combinatorics. In order to obtain an explicit description we encounter several interesting combinatorial problems.
Supported in part by National Science Foundation grant CCR-8958528.
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Beigel, R., Kummer, M., Stephan, F. (1992). Quantifying the amount of verboseness (extended abstract). In: Nerode, A., Taitslin, M. (eds) Logical Foundations of Computer Science — Tver '92. LFCS 1992. Lecture Notes in Computer Science, vol 620. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0023860
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DOI: https://doi.org/10.1007/BFb0023860
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