Lower and upper bounds for reductions of types in λ and λP (extended abstract)

  • Jan Springintveld
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 664)


For several important systems of the λ-cube we study the time-complexity of type conversion. Non-elementary lower bounds are given for the type-conversion problem for λ\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\omega }\)and λP and hence for the systems that include one of these systems. For λ\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\omega }\)and λP a super-exponential upper bound is given to the length of reduction sequences starting from types that are legal in these systems.


Induction Hypothesis Reduction Rule Application Rule Type Inference Active Occurrence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Jan Springintveld
    • 1
  1. 1.Department of PhilosophyUniversity of UtrechtTC UtrechtThe Netherlands

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