On reductions to sets that avoid EXPSPACE
Identifieur interne : 002902 ( Main/Exploration ); précédent : 002901; suivant : 002903On reductions to sets that avoid EXPSPACE
Auteurs : V. Arvind [Inde] ; J. Köbler [Allemagne] ; M. Mundhenk [Allemagne]Source :
- Information Processing Letters [ 0020-0190 ] ; 1995.
Abstract
A set B is called EXPSPACE-avoiding, if every subset of B in EXPSPACE is sparse. For example, sets of high information density (called HIGH sets in [5]) are shown to be EXPSPACE-avoiding. Investigating the complexity of sets A in EXPSPACE that honestly reduce to EXPSPACE-avoiding sets, we show that if the reducibility used has a property, called range-constructibility, then A must also reduce to a sparse set under the same reducibility.
Url:
DOI: 10.1016/0020-0190(95)00138-3
Affiliations:
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Le document en format XML
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<front><div type="abstract" xml:lang="en">A set B is called EXPSPACE-avoiding, if every subset of B in EXPSPACE is sparse. For example, sets of high information density (called HIGH sets in [5]) are shown to be EXPSPACE-avoiding. Investigating the complexity of sets A in EXPSPACE that honestly reduce to EXPSPACE-avoiding sets, we show that if the reducibility used has a property, called range-constructibility, then A must also reduce to a sparse set under the same reducibility.</div>
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