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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2004

Autores

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

Revista

Título: Journal of Functional Programming

Vol. 14

Páginas: 519-546

ISSN: 0956-7968

Editora: Cambridge University Press

Indexação

ISI Web of Knowledge - 3 Citações

Scopus - 9 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Ciências da computação e da informação

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 28