Hardness of enumerating pseudo-intents in the lectic order

  • Authors:
  • Felix Distel

  • Affiliations:
  • Theoretical Computer Science, TU Dresden, Germany

  • Venue:
  • ICFCA'10 Proceedings of the 8th international conference on Formal Concept Analysis
  • Year:
  • 2010

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Abstract

We investigate the complexity of enumerating pseudo-intents in the lectic order. We look at the following decision problem: Given a formal context and a set of n pseudo-intents determine whether they are the lectically first n pseudo-intents. We show that this problem is coNP-hard. We thereby show that there cannot be an algorithm with a good theoretical complexity for enumerating pseudo-intents in a lectic order. In a second part of the paper we introduce the notion of minimal pseudo-intents, i. e. pseudo-intents that do not strictly contain a pseudo-intent. We provide some complexity results about minimal pseudo-intents that are readily obtained from the previous result.