| Issue |
RAIRO-Theor. Inf. Appl.
Volume 33, Number 6, November December 1999
|
|
|---|---|---|
| Page(s) | 507 - 534 | |
| DOI | https://doi.org/10.1051/ita:1999130 | |
| Published online | 15 August 2002 | |
Call-by-value Solvability
1
DISI, Università di Genova,
Dipartimento di Informatica e Scienze dell'Informazione,
Via Dodecaneso 35, 16146 Genova, Italy;
paolini@disi.unige.it.
2
Università di Torino,
Dipartimento di Informatica, C.so Svizzera 185, 10149 Torino, Italy;
ronchi@di.unito.it.
Received:
December
1998
Accepted:
August
1999
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.
Mathematics Subject Classification: 68Q05 / 03D10
Key words: Models of computations / λ-calculus / call-by-value.
© EDP Sciences, 1999
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