The PL hierarchy collapses

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


It is shown that the PL hierarchy PLH = PL ∪ PLPL ∪ PLPLPL ∪ ..., defined in terms of the Ruzzo-Simon-Tompa relativization, collapses to PL.

Original languageEnglish (US)
Pages (from-to)1430-1437
Number of pages8
JournalSIAM Journal on Computing
Issue number5
StatePublished - Jan 1 1998
Externally publishedYes


  • Constant-depth circuits
  • Logspace reducibility
  • Nondeterministic complexity classes
  • Probabilistic complexity classes
  • Relativization

ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

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