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Abstract: We show that the continuous function model is the unique extensional (but not necessarily
pointwise ordered) model of the variant of the applied typed lambda calculus PCF that includes
the "parallel or" operation.
1 Introduction
Several extensional models of the applied typed lambda calculus PCF are known to exist, including:
(i) The continuous function model, which is order-extensional (pointwise ordered) but not equationally
fully abstract [Plo]. (A model is equationally fully abstract when... (Update)
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BibTeX entry: (Update)
A. Stoughton. Parallel PCF has a unique extensional model. In Proc. 6th IEEE Annual Symp. Logic in Computer Science, pages 146--151. IEEE Computer Society Press, 1991. http://citeseer.ist.psu.edu/stoughton91parallel.html More
@inproceedings{ stoughton91parallel,
author = "Allen Stoughton",
title = "Parallel {PCF} Has a Unique Extensional Model",
booktitle = "Logic in Computer Science",
pages = "146-151",
year = "1991",
url = "citeseer.ist.psu.edu/stoughton91parallel.html" }
Citations (may not include all citations):
306
LCF considered as a programming language (context) - Plotkin - 1977
66
Fully abstract models of typed -calculi (context) - Milner - 1977
47
Fully Abstract Models of Programming Languages (context) - Stoughton - 1988
38
Full abstraction for sequential languages: the state of the .. (context) - Berry, Curien et al. - 1985
23
eles Compl`etement Ad (context) - Berry - 1979
10
Interdefinability of parallel operations in PCF (context) - Stoughton - 1991
4
Equationally fully abstract models of PCF (context) - Stoughton - 1990
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