Approximation and Normalization Results for Typeable Combinator Systems

نویسندگان

  • Steffen van Bakel
  • Maribel Fernández
چکیده

This paper studies the relation between types and normalization in the context of Combinator Systems. It presents notions of approximants for terms, intersection type assignment, and reduction on derivations; the last will be proved to be strongly normalizable. With this result, it is proved that, for every typeable term, there exists an approximant of that term with the same type, and a characterization of the normalization behaviour of terms using their assignable types is given.

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تاریخ انتشار 1995