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Tej Chajed
iris
Commits
4912a660
Commit
4912a660
authored
Dec 10, 2017
by
Robbert Krebbers
Browse files
Docs: fix references to Banach.
parent
8d1b4d4c
Changes
1
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docs/model.tex
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4912a660
...
...
@@ -80,7 +80,7 @@ For every definition, we have to show all the side-conditions: The maps have to
\Sem
{
\vctx
\proves
\term
(
\termB
) :
\type
'
}_
\gamma
&
\eqdef
\Sem
{
\vctx
\proves
\term
:
\type
\to
\type
'
}_
\gamma
(
\Sem
{
\vctx
\proves
\termB
:
\type
}_
\gamma
)
\\
\Sem
{
\vctx
\proves
\MU
\var
:
\type
.
\term
:
\type
}_
\gamma
&
\eqdef
\
mathit
{
fix
}
(
\Lam
\termB
:
\Sem
{
\type
}
.
\Sem
{
\vctx
, x :
\type
\proves
\term
:
\type
}_{
\mapinsert
\var
\termB
\gamma
}
)
\\
\
fixp
_{
\Sem
{
\type
}
}
(
\Lam
\termB
:
\Sem
{
\type
}
.
\Sem
{
\vctx
, x :
\type
\proves
\term
:
\type
}_{
\mapinsert
\var
\termB
\gamma
}
)
\\
~
\\
\Sem
{
\vctx
\proves
\textlog
{
abort
}
\;\term
:
\type
}_
\gamma
&
\eqdef
\mathit
{
abort
}_{
\Sem\type
}
(
\Sem
{
\vctx
\proves
\term
:0
}_
\gamma
)
\\
\Sem
{
\vctx
\proves
() : 1
}_
\gamma
&
\eqdef
()
\\
...
...
@@ -102,7 +102,7 @@ For every definition, we have to show all the side-conditions: The maps have to
An environment
$
\vctx
$
is interpreted as the set of
finite partial functions
$
\rho
$
, with
$
\dom
(
\rho
)
=
\dom
(
\vctx
)
$
and
$
\rho
(
x
)
\in\Sem
{
\vctx
(
x
)
}$
.
Above,
$
\
mathit
{
fix
}
$
is
the
fixed-point
on COFEs
, and
$
\mathit
{
abort
}_
T
$
is the unique function
$
\emptyset
\to
T
$
.
Above,
$
\fix
p
$
is
Banach's
fixed-point
(see
\thmref
{
thm:banach
}
)
, and
$
\mathit
{
abort
}_
T
$
is the unique function
$
\emptyset
\to
T
$
.
\paragraph
{
Logical entailment.
}
We can now define
\emph
{
semantic
}
logical entailment.
...
...
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