A nonuniform class called here Full-P/log, due to Ko, is studied.
It corresponds to polynomial time with logarithmically long
advice. Its importance lies in the structural properties it enjoys,
more interesting than those of the alternative class P/log;
specifically, its introduction was motivated by the need of
a logarithmic advice class closed under polynomial-time deterministic
reductions. Several characterizations of Full-P/log are shown,
formulated in terms of various sorts of tally sets with very
small information content. A study of its inner structure is
presented, by considering the most usual reducibilities and
looking for the relationships among the corresponding reduction and
equivalence classes defined from these special tally sets.
CitationBalcazar, J. L., Hermo, M. "The Structure of logarithmic advice complexity classes". 1997.
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder. If you wish to make any use of the work not provided for in the law, please contact: firstname.lastname@example.org