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Giuseppe Castagna
occurrencetyping
Commits
eeec9bf6
Commit
eeec9bf6
authored
Jul 11, 2019
by
Giuseppe Castagna
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parent
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language.tex
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eeec9bf6
...
...
@@ 583,7 +583,7 @@ 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
{

5
.75mm
}
\\
\end{eqnarray}
\vspace
{

3
.75mm
}
\\
%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
%that subsumes $t$ and has domain $s$ and $\worra t s$ was explained
...
...
@@ 656,7 +656,7 @@ in the definition are defined).\footnote{Note that the definition is
this is defined for all
$
\varpi
$
since the first premisses of
\Rule
{
Case
\Aa
}
states that
$
\Gamma\vdash
e:
\ts
_
0
$
(and this is
possible only if we were able to deduce under the hypothesis
$
\Gamma
$
the type of every occurrence of
$
e
$
.)
}
$
\Gamma
$
the type of every occurrence of
$
e
$
.)
\vspace
{
3mm
}
}
Each case of the definition of the
$
\constrf
$
function corresponds to the
application of a logical rule (
\emph
{
cf.
}
Footnote~
\ref
{
fo:rules
}
) in
...
...
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