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Some New Approaches in Functional Programming Based on Categories

  • Viliam Slodičák
  • Pavol Macko
  • Valerie Novitzká
Chapter
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7241)

Abstract

In this paper we deal the recursion and corecursion in functional programming. We discuss about the morphisms which express the recursion or corecursion, resp. We apply the linear logic which provides a logical perspective on computational issues such as control of resources and order of evaluation. The most important feature of linear logic is that formulae are considered as actions and its truth value depends on an internal state of a dynamic system. In this paper we present an alternative way of computation based on algebras and coalgebras. The correctness of our approaches we show by Curry-Howard correspondence.

Keywords

category theory hylomorphism linear logic Curry-Howard correspondence signature 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Viliam Slodičák
    • 1
  • Pavol Macko
    • 1
  • Valerie Novitzká
    • 1
  1. 1.Faculty of Electrical Engineering and InformaticsTechnical University of KošiceKošiceSlovak Republic

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