Birkhoff's HSP-theorem for cumulative logic programs

  • Beatrice Amrhein
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 798)


Birkhoff's HSP theorem is that the models of a set of algebraic equations form a variety, i.e. a category of algebras which admits homomorphic images, subalgebras and products. We show here first, that every equational set of retract structures in combinatory logic is a variety, and second, that every set of combinators, closed under certain operations, is equational. It follows that the models of cumulative logic programs form an equational variety.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Beatrice Amrhein
    • 1
    • 2
  1. 1.ETHZürich
  2. 2.Universität TübingenDeutschland

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