Resource-Bounded Baire Category and Small Circuits in Exponential Space

Jack H. Lutz · 1987

Resource-bounded Baire category is introduced and used to define nontrivial proper ideals of "meager" subsets of E, ESPACE, and other complexity classes. A characterization of these meager sets in terms of resource-bounded infinite games is developed and used to show that only a meager set of languages in ESPACE have polynomial-size circuits.

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