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

• Type: Article in International Scientific Journal
• Date: 2004

Authors

Florido, M (Author) FCUP; Damas, L (Author) FCUP

Journal

Title: Journal of Functional Programming

Vol. 14

Pages: 519-546

ISSN: 0956-7968

Publisher: Cambridge University Press

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 9 Citations

Scientific classification

FOS: Natural sciences > Computer and information sciences

Other information

Authenticus ID: P-000-8ST

DOI: 10.1017/s0956796803004970

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

No. of pages: 28