Constructive category theory (No. 1)

  • Akira Kanda
Part of the Lecture Notes in Computer Science book series (LNCS, volume 118)


In this paper, a notion of effective categories and effective functions is presented as an attempt to handle effective properties of categories with effectiveness constraint. Using this notion, we study a categorical generalization of the Kleene 1st recursion theorem, as the effectively initial algebra theorem. Various effective categories and effective functors are studied.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • Akira Kanda
    • 1
  1. 1.Department of Computer ScienceUniversity of KansasLawrence

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