Equational presentations of functors and monads

  • Authors:
  • Ji???? Velebil;Alexander Kurz

  • Affiliations:
  • Faculty of electrical engineering, czech technical university in prague, prague, czech republic e-mail: velebil@math.feld.cvut.cz;Department of computer science, university of leicester, united kingdom e-mail: kurz@mcs.le.ac.uk

  • Venue:
  • Mathematical Structures in Computer Science
  • Year:
  • 2011

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Abstract

We study equational presentations of functors and monads defined on a category that is equipped by an adjunction F ?? U : ??? of descent type. We present a class of functors/monads that admit such an equational presentation that involves finitary signatures in . We apply these results to an equational description of functors arising in various areas of theoretical computer science.