Inverse Problems Have Inverse Complexity

  • Tobias Berg
  • Harald Hempel
Conference paper
Part of the IFIP International Federation for Information Processing book series (IFIPAICT, volume 273)


In this paper we show that inverting problems of higher complexity is easier than inverting problems of lower complexity. While inverting Σpi3CNFSAT is known to be coNP-complete sideri for i=1 we prove that it remains coNP-complete for i=2 and is in P for all i⩾ 3. Relatedly, we show that inverting Σpi3DNFSAT is in P for all i⩾ 1.


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Copyright information

© IFIP International Federation for Information Processing 2008

Authors and Affiliations

  • Tobias Berg
    • 1
  • Harald Hempel
    • 1
  1. 1.Fakultät für Mathematik und InformatikFriedrich-Schiller-Universität JenaGermany

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