We study the shrinking and separation properties (two notions well-known in descriptive set theory) for NP and coNP and show that under reasonable complexity-theoretic assumptions...
In 2004 Csima, Hirschfeldt, Knight, and Soare [1] showed that a set A T 0 is nonlow2 if and only if A is prime bounding, i.e. for every complete atomic decidable theory T , there i...
Abstract. In this paper, a general framework of quantum-inspired multiobjective evolutionary algorithms is proposed based on the basic principles of quantum computing and general s...
We study and compare two combinatorial lowness notions: strong jump-traceability and well-approximability of the jump, by strengthening the notion of jump-traceability and super-l...
Over a decade ago, Schoning introduced the concept of lowness into structural complexity theory. Since then a large body of results has been obtained classifying various complexit...