Stateless Higher-Order Logic with Quantified Types

  • Evan Austin
  • Perry Alexander
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7998)


There have been numerous extensions to classical higher-order logic, but not all of them interact non-trivially. Two such extensions, stateless HOL and HOL extended with quantified types, generate an interesting conflict in the way that type operator variables are implemented and handled. This paper details a proposed solution to that conflict and explores the key impacts to the logical kernel. A prototype system, implemented in GHC Haskell, is discussed and compared to related systems.


Type Operator Proof System Lambda Calculus Substitution Function Type Constant 
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 2013

Authors and Affiliations

  • Evan Austin
    • 1
  • Perry Alexander
    • 1
  1. 1.Information and Telecommunication Technology CenterThe University of KansasLawrenceUSA

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