Towards a mathematical theory of knowledge

  • Authors:
  • Ru-Qian Lu

  • Affiliations:
  • Key Lab of IIPL, Inst. of Comp. Technol. and Key Lab of MADIS and Inst. of Math., AMSS, Ch. Acad. of Sci., Beijing and Shanghai Key Lab of IIPL, Fudan Univ., Shanghai and Beijing Key Lab of ISMM, ...

  • Venue:
  • Journal of Computer Science and Technology
  • Year:
  • 2005

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Abstract

A typed category theory is proposed for the abstract description of knowledge and knowledge processing. It differs from the traditional category theory in two directions: all morphisms have types and the composition of morphisms is not necessary a morphism. Two aspects of application of typed category theory are discussed: cones and limits of knowledge complexity classes and knowledge completion with pseudo-functors.