Proving Syntactic Properties of Exceptions in an Ordered Logical Framework

  • Jeff Polakow
  • Kwangkeun Yi
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2024)


We formally prove the stackability and linearity of exception handlers with ML-style semantics using a novel proof technique via an ordered logical framework (OLF). We first transform exceptions into continuation-passing-style (CPS) terms and formalize the exception properties as a judgement on the CPS terms. Then, rather than directly proving that the properties hold for terms, we prove our theorem for the representations of the CPS terms and transform in OLF. We rely upon the correctness of our representations to transfer the results back to the actual CPS terms and transform.

Our work can be seen as two-fold: we present a theoretical justification of using the stack mechanism to implement exceptions of ML-like semantics; and we demonstrate the value of an ordered logical framework as a conceptual tool in the theoretical study of programming languages.


Canonical Form Linear Logic Natural Deduction Logical Framework Exception Handler 
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 2001

Authors and Affiliations

  • Jeff Polakow
    • 1
  • Kwangkeun Yi
    • 2
  1. 1.Department of Computer ScienceCarnegie Mellon UniversityKorea
  2. 2.Department of Computer ScienceKorea Advanced Institute of Science & TechnologyKorea

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