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The Discriminating Power of Multiplicities in the Lambda-Calculus (1996)  (Make Corrections)  (2 citations)
Gérard Boudol, Cosimo Laneve
Information and Computation



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Abstract: The -calculus with multiplicities is a refinement of the lazy -calculus where the argument in an application comes with a multiplicity, which is an upper bound to the number of its uses. This introduces potential deadlocks in the evaluation. We study the discriminating power of this calculus over the usual -terms. We prove in particular that the observational equivalence induced by contexts with multiplicities coincides with the equality of L'evyLongo trees associated with -terms. This is a... (Update)

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0.4:   Lazy Lambda Calculus: Theories, Models and Local Structure.. - Ong (1994)   (Correct)

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BibTeX entry:   (Update)

Boudol, G., and Lavatelli, C., "The Discriminating Power of Multiplicities in the Lambda-Calculus", Information and Computation, Vol. 126, No. 1 (1996), pp 83-102. http://citeseer.ist.psu.edu/article/boudol96discriminating.html   More

@article{ boudol96discriminating,
    author = "Gerard Boudol and Cosimo Laneve",
    title = "The Discriminating Power of Multiplicities in the Lambda-Calculus",
    journal = "Information and Computation",
    volume = "126",
    number = "1",
    pages = "83-102",
    year = "1996",
    url = "citeseer.ist.psu.edu/article/boudol96discriminating.html" }
Citations (may not include all citations):
137   Journal of Functional Programming (context) - Abadi, Cardelli et al. - 1991
130   Full abstraction in the lazy lambda calculus (context) - Abramsky, Ong - 1993  ACM   DBLP
97   Mathematical Structures in Computer Science (context) - Milner, processes - 1992
89   The Lambda Calculus (context) - Barendregt - 1985
66   Fully abstract models of typed -calculi (context) - Milner - 1977
59   The relation between computational and denotational properti.. (context) - Wadsworth - 1976
52   The lazy lambda calculus in a concurrency scenario - Sangiorgi - 1994  ACM   DBLP
42   The Lazy Lambda Calculus: an Investigation into the Foundati.. (context) - Ong - 1988
41   R'eductions Correctes et Optimales dans le Lambda Calcul (context) - L'evy - 1978
26   The discriminating power of multiplicities in the -calculus (context) - Boudol, Laneve - 1994
19   Information and Computation (context) - Boudol, strict et al. - 1994  DBLP
11   Set theoretical models of lambda calculus: Theories (context) - Longo - 1983
9   A Lambda Calculus for Parallel Functions (context) - Boudol - 1990
8   An algebraic interpretation of the fiK-calculus; and an appl.. (context) - L'evy - 1976
3   models and local structure characterization (context) - Ong, calculus - 1992
3   deadlock and divergence in the -calculus with multiplicities (context) - Boudol, Laneve - 1995

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Interaction Systems - Asperti, Laneve (1993)   (Correct)
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λ-Calculus, Multiplicities and the π-Calculus - Boudol, Laneve   (Correct)

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