Результаты исследований: Научные публикации в периодических изданиях › Обзорная статья › Рецензирование
Refining the polynomial hierarchy. / Selivanov, V. L.
в: Algebra and Logic, Том 38, № 4, 01.01.1999, стр. 248-258.Результаты исследований: Научные публикации в периодических изданиях › Обзорная статья › Рецензирование
}
TY - JOUR
T1 - Refining the polynomial hierarchy
AU - Selivanov, V. L.
PY - 1999/1/1
Y1 - 1999/1/1
N2 - By a result of Kadin, the difference hierarchy over NP does not collapse if the polynomial hierarchy does not. We extend this result to a natural refinement of the polynomial hierarchy. The refinement is obtained from levels of the polynomial hierarchy by validly applying addition modulo 2, and so here we call it the plus-hierarchy. Also, we consider two refinements of the plus-hierarchy, which may be relevant to a classification of some languages. © 1999 Kluwer Academic/Plenum Publishers.
AB - By a result of Kadin, the difference hierarchy over NP does not collapse if the polynomial hierarchy does not. We extend this result to a natural refinement of the polynomial hierarchy. The refinement is obtained from levels of the polynomial hierarchy by validly applying addition modulo 2, and so here we call it the plus-hierarchy. Also, we consider two refinements of the plus-hierarchy, which may be relevant to a classification of some languages. © 1999 Kluwer Academic/Plenum Publishers.
UR - http://www.scopus.com/inward/record.url?scp=0010579734&partnerID=8YFLogxK
U2 - 10.1007/BF02671730
DO - 10.1007/BF02671730
M3 - Review article
AN - SCOPUS:0010579734
VL - 38
SP - 248
EP - 258
JO - Algebra and Logic
JF - Algebra and Logic
SN - 0002-5232
IS - 4
ER -
ID: 127141277