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On reductions to sets that avoid EXPSPACE

Identifieur interne : 002902 ( Main/Exploration ); précédent : 002901; suivant : 002903

On reductions to sets that avoid EXPSPACE

Auteurs : V. Arvind [Inde] ; J. Köbler [Allemagne] ; M. Mundhenk [Allemagne]

Source :

RBID : ISTEX:C51014CBB7347B9EE6D33D5E45A9F48F3F5C7F25

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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