Relating Computational Effects by ⊤ ⊤-Lifting

  • Shin-ya Katsumata
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6756)


We consider the problem of establishing a relationship between two interpretations of base type terms of a λ c -calculus with algebraic operations. We show that the given relationship holds if it satisfies a set of natural conditions. We apply this result to comparing interpretations of new name creation by two monads: Stark’s new name creation monad [25] and a global counter monad.


Partial Order Base Type Logical Relation Small Product Algebraic Operation 
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© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Shin-ya Katsumata
    • 1
  1. 1.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan

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