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Author Bucciarelli, Antonio; de Lorenzis, Silvia; Piperno, Adolfo; Salvo, Ivano pdf  doi
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  Title Some Computational Properties of Intersection Types (Extended Abstract) Type Journal Article
  Year 1999 Publication Abbreviated Journal  
  Volume Issue Pages 109-118  
  Keywords lambda calculusCurry types, intersection types, lambda-definability, lambda-terms, strong normalization  
  Abstract This paper presents a new method for comparing computation-properties of λ-terms typeable with intersection types with respect to terms typeable with Curry types. In particular, strong normalization and λ-definability are investigated. A translation is introduced from intersection typing derivations to Curry typeable terms; the main feature of the proposed technique is that the translation is preserved by β-reduction. This allows to simulate a computation starting from a term typeable in the intersection discipline by means of a computation starting from a simply typeable term. Our approach naturally leads to prove strong normalization in the intersection system by means of purely syntactical techniques. In addition, the presented method enables us to give a proof of a conjecture proposed by Leivant in 1990, namely that all functions uniformly definable using intersection types are already definable using Curry types.  
  Address  
  Corporate Author Thesis  
  Publisher IEEE Computer Society Place of Publication Editor  
  Language Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN ISBN (up) Medium  
  Area Expedition Conference  
  Notes Approved yes  
  Call Number Sapienza @ mari @ bucciarelli-delorenzis-piperno-salvo:99 Serial 71  
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