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A New Type Assignment for Strongly Normalizable Terms

Author Rick Statman



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LIPIcs.CSL.2013.634.pdf
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Rick Statman

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Rick Statman. A New Type Assignment for Strongly Normalizable Terms. In Computer Science Logic 2013 (CSL 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 23, pp. 634-652, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2013)
https://doi.org/10.4230/LIPIcs.CSL.2013.634

Abstract

We consider an operator definable in the intuitionistic theory of monadic predicates and we axiomatize some of its properties in a definitional extension of that monadic logic. The axiomatization lends itself to a natural deduction formulation to which the Curry-Howard isomorphism can be applied. The resulting Church style type system has the property that an untyped term is typable if and only if it is strongly normalizable.
Keywords
  • lambda calculus

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