On sets having only hard subsets

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Abstract

We investigate properties of sets having no infinite subset in a given family of sets. We study the case when this family is defined by a complexity measure or one of the usual complexity notions in automata or recursive function theory.

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Flajolet, P., & Steyaert, J. M. (1974). On sets having only hard subsets. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 14 LNCS, pp. 446–457). Springer Verlag. https://doi.org/10.1007/3-540-06841-4_81

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