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Partial intersection type assignment in applicative term rewriting systems

  • Steffen van Bakel
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 664)

Abstract

This paper introduces a notion of partial type assignment on applicative term rewriting systems that is based on a combination of an essential intersection type assignment system, and the type assignment system as defined for ML [16], both extensions of Curry's type assignment system [11]. Terms and rewrite rules will be written as trees, and type assignment will consists of assigning intersection types function symbols, and specifying the way in which types can be assigned to nodes and edges between nodes. The only constraints on this system are local: they are imposed by the relation between the type assigned to a node and those assigned to its incoming and out-going edges. In general, given an arbitrary typeablc applicative term rewriting system, the subject reduction property does not hold. We will formulate a sufficient but undecidable condition typeable rewrite rules should satisfy in order to obtain this property.

Keywords

Intersection Type Function Symbol Type Assignment Derivation Rule Lambda Calculus 
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

  • Steffen van Bakel
    • 1
  1. 1.Department of Informatics, Faculty of Mathematics and InformaticsUniversity of NijmegenED NijmegenThe Netherlands

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