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Parallel Implementation Models for the lambda-calculus Using the Geometry of Interaction  (Make Corrections)  
Jorge Sousa Pinto
Typed Lambda Calculus and Applications



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Abstract: An examination of Girard's execution formula suggests implementations of the Geometry of Interaction at the syntactic level. In this paper we limit our scope to groundtype terms and study the parallel aspects of such implementations, by introducing a family of abstract machines which can be directly implemented. These machines address all the important implementation issues such as the choice of an inter-thread communication model, and allow to incorporate speci c strategies for dividing the... (Update)

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BibTeX entry:   (Update)

@inproceedings{ pinto01parallel,
    author = "Jorge Sousa Pinto",
    title = "Parallel Implementation Models for the lambda-Calculus Using the Geometry of Interaction",
    booktitle = "Typed Lambda Calculus and Applications",
    pages = "385-399",
    year = "2001",
    url = "citeseer.ist.psu.edu/464989.html" }
Citations (may not include all citations):
215   Theoretical Computer Science (context) - Girard - 1987  ACM
21   Proof-nets and the Hilbert space - Danos, Regnier - 1995  ACM
21   Geometry of interaction 1: Interpretation of System F (context) - Girard - 1989
13   Linear logic without boxes - Gonthier, Abadi et al. - 1992  DBLP
10   The geometry of interaction machine (context) - Mackie - 1995  ACM   DBLP
7   an analysis of Girard's execution formula (context) - Danos, Regnier et al. - 1993
7   Geometry of interaction III : accommodating the additives - Girard - 1995
7   Imperial College of Science (context) - Mackie, of et al. - 1994
6   Geometry of interaction 2: Deadlock-free algorithms (context) - Girard - 1988  ACM   DBLP
4   Sequential and concurrent abstract machines for interaction .. (context) - Pinto - 2000  ACM   DBLP
3   Directed virtual reductions - Danos, Pedicini et al. - 1997  ACM   DBLP
3   Parallel Implementation with Linear Logic (context) - Pinto - 2000
1   terms: an introduction to the geometry of interaction for fu.. (context) - Pinto, of - 2000

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Parallel Implementation Models for the lambda-calculus Using the.. - Pinto   (Correct)

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