Untyped lambda-calculus with input-output

  • Jerzy Tiuryn
  • Mitchell Wand
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1059)


We introduce an untyped λ-calculus with input-output, based on Gordon's continuation-passing model of input-output. This calculus is intended to allow the classification of possibly infinite input-output behaviors, such as those required for servers or distributed systems. We define two terms to be operationally approximate iff they have similar behaviors in any context. We then define a notion of applicative approximation and show that it coincides with operational approximation for these new behaviors. Last, we consider the theory of pure λ-terms under this notion of operational equivalence.


Operational Approximation Label Transition System Functional Programming Closed Term Functional Programming Language 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Jerzy Tiuryn
    • 1
  • Mitchell Wand
    • 2
  1. 1.Institute of InformaticsWarsaw UniversityWarsawPoland
  2. 2.College of Computer ScienceNortheastern UniversityBostonUSA

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