On closure properties of # P in the context of PF ○ # P

Mitsunori Ogihara, Thomas Thierauf, Seinosuke Toda, Osamu Watanabe

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


For any operator T on integer-valued functions, we say that # P is closed under T in the context of PF ○ # P if, for every f ∈ # P, T [f] belongs to PF ○ # P. For several operators T, it is shown that the closure properties of # P under T in the above sense is closely related to the relationships between P# P[1] and higher classes such as PHPP and PPPP.

Original languageEnglish (US)
Pages (from-to)171-179
Number of pages9
JournalJournal of Computer and System Sciences
Issue number2
StatePublished - Oct 1996
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Networks and Communications
  • Computational Theory and Mathematics
  • Applied Mathematics


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