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Call-by-value Solvability

Published online by Cambridge University Press:  15 August 2002

Luca Paolini  and
Simona Ronchi Della Rocca
Luca Paolini
Affiliation:
DISI, Università di Genova, Dipartimento di Informatica e Scienze dell'Informazione, Via Dodecaneso 35, 16146 Genova, Italy; paolini@disi.unige.it.
Simona Ronchi Della Rocca
Affiliation:
Università di Torino, Dipartimento di Informatica, C.so Svizzera 185, 10149 Torino, Italy; ronchi@di.unito.it.
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Abstract

The notion of solvability in the call-by-value λ-calculus is defined and completely characterized, both from an operational and a logical point of view. The operational characterization is given through a reduction machine, performing the classical β-reduction, according to an innermost strategy. In fact, it turns out that the call-by-value reduction rule is too weak for capturing the solvability property of terms. The logical characterization is given through an intersection type assignment system, assigning types of a given shape to all and only the call-by-value solvable terms.

Keywords

Models of computationsλ-calculuscall-by-value.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 33 , Issue 6 , November 1999 , pp. 507 - 534
Copyright
© EDP Sciences, 1999

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