Symmetries of knowledge bases

Tatjana Plotkin, Marina Knyazhansky

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Knowledge base theory stimulates numerous applications of computer algebra and symbolic computations. The paper is aimed to explain how the general ideas of Galois theory work for knowledge bases and help to determine the criterion of knowledge bases informational equivalence. This criterion reduces the problem of informational equivalence of knowledge bases to the conjugacy problem for groups. We give a survey of recent results and outline prospective problems.

Original languageEnglish
Pages (from-to)369-383
Number of pages15
JournalAnnals of Mathematics and Artificial Intelligence
Volume64
Issue number4
DOIs
StatePublished - Apr 2012

Keywords

  • Algebraic model
  • Informational equivalence
  • Knowledge base
  • Symmetry

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