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Giuseppe Castagna
occurrence-typing
Commits
21a3e35e
Commit
21a3e35e
authored
Feb 17, 2021
by
Giuseppe Castagna
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typo
parent
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algorithm.tex
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21a3e35e
...
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@@ -83,13 +83,12 @@ its domain and the type of the application is more complicated and needs the ope
\apply
t s
&
=
&
\,\min
\{
u
\alt
t
\leq
s
\to
u
\}
\\
[-1mm]
\worra
t s
&
=
&
\,\min\{
u
\alt
t
\circ
(
\dom
t
\setminus
u)
\leq
\neg
s
\}\label
{
worra
}
\end{eqnarray}
\vspace
{
-4.7mm
}
\\
\iflongversion
%
\end{eqnarray}
In short,
$
\dom
t
$
is the largest domain of any single arrow that
subsumes
$
t
$
,
$
\apply
t s
$
is the smallest domain of an arrow type
subsumes
$
t
$
,
$
\apply
t s
$
is the smallest
co
domain of an arrow type
that subsumes
$
t
$
and has domain
$
s
$
and
$
\worra
t s
$
was explained
before.
\fi
%
We need similar operators for projections since the type
$
t
$
of
$
e
$
in
$
\pi
_
i e
$
may not be a single product type but, say, a union
of products: all we know is that
$
t
$
must be a subtype of
...
...
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