Advertisement
Published in:
2012 | OriginalPaper | Chapter
Duality and i/o-Types in the π-Calculus
Authors : Daniel Hirschkoff, Jean-Marie Madiot, Davide Sangiorgi
Published in: CONCUR 2012 – Concurrency Theory
Publisher: Springer Berlin Heidelberg
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
We study duality between input and output in the
π
-calculus. In dualisable versions of
π
, including
πI
and fusions, duality breaks with the addition of ordinary input/output types. We introduce
$\overline\pi$
, intuitively the minimal symmetrical conservative extension of
π
with input/output types. We prove some duality properties for
$\overline\pi$
and we study embeddings between
$\overline\pi$
and
π
in both directions. As an example of application of the dualities, we exploit the dualities of
$\overline\pi$
and its theory to relate two encodings of call-by-name
λ
-calculus, by Milner and by van Bakel and Vigliotti, syntactically quite different from each other.