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

Some computational properties of intersection types / Bucciarelli, A.; DE LORENZIS, S.; Piperno, Adolfo; Salvo, Ivano. - STAMPA. - (1999), pp. 109-118. (Intervento presentato al convegno 14th Symposium on Logic in Computer Science tenutosi a Trento, Italy nel july 2-5, 1999) [10.1109/LICS.1999.782598].

Some computational properties of intersection types

PIPERNO, Adolfo;SALVO, Ivano
1999

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
1999
9780769501581
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/209159
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