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Linearization of the lambda-calculus and its relation with intersection type systems

Title
Linearization of the lambda-calculus and its relation with intersection type systems
Type
Article in International Scientific Journal
Year
2004
Authors
Damas, L
(Author)
FCUP
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Journal
Vol. 14
Pages: 519-546
ISSN: 0956-7968
Scientific classification
FOS: Natural sciences > Computer and information sciences
Other information
Authenticus ID: P-000-8ST
Abstract (EN): In this paper we present a notion of expansion of a term in the lambda-calculus which transforms terms into linear terms. This transformation replaces each occurrence of a variable in the original term by a fresh variable taking into account non-trivial implications in the structure of the term caused by these simple replacements. We prove that the class of terms which can be expanded is the same of terms typable in an Intersection Type System, i.e. the strongly normalizable terms. We then show that expansion is preserved by weak-head reduction, the reduction considered by functional programming languages.
Language: English
Type (Professor's evaluation): Scientific
Contact: amf@ncc.up.pt
No. of pages: 28
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