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Author Bucciarelli, Antonio; Piperno, Adolfo; Salvo, Ivano
Title Intersection types and λ-definability Type Journal Article
Year 2003 Publication Mathematical Structures in Computer Science Abbreviated Journal
Volume 13 Issue 1 Pages 15-53
Abstract This paper presents a novel method for comparing computational properties of λ-terms that are typeable with intersection types, with respect to terms that are typeable with Curry types. We introduce a translation from intersection typing derivations to Curry typeable terms that is preserved by β-reduction: this allows the simulation of a computation starting from a term typeable in the intersection discipline by means of a computation starting from a simply typeable term. Our approach proves strong normalisation for the intersection system naturally by means of purely syntactical techniques. The paper extends the results presented in Bucciarelli et al. (1999) to the whole intersection type system of Barendregt, Coppo and Dezani, thus providing a complete proof of the conjecture, proposed in Leivant (1990), that all functions uniformly definable using intersection types are already definable using Curry types.
Corporate Author Thesis
Publisher Cambridge University Press Place of Publication New York, NY, USA Editor
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title (down)
Series Volume Series Issue Edition
ISSN 0960-1295 ISBN Medium
Area Expedition Conference
Notes Approved yes
Call Number Sapienza @ mari @ Bucciarelli-Piperno-Salvo:MSCS-03 Serial 69
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