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Tej Chajed
iris
Commits
4ea5948c
Commit
4ea5948c
authored
Feb 05, 2015
by
David Swasey
Browse files
Tracked change to wsat and merged wpUnsafe into htUnsafe for consistency.
parent
9ca28352
Changes
1
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Inline
Side-by-side
iris_unsafe.v
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4ea5948c
...
...
@@ -22,26 +22,21 @@ Module RobustSafety (RL : PCM_T) (C : CORE_LANG).
Implicit
Types
(
P
Q
R
:
Props
)
(
i
:
nat
)
(
safe
:
bool
)
(
m
:
mask
)
(
e
:
expr
)
(
φ
:
value
-
n
>
Props
)
(
r
:
res
)
(
w
:
Wld
).
Lemma
wp
Unsafe
m
e
φ
:
wp
true
m
e
φ
⊑
wp
false
m
e
φ
.
Lemma
ht
Unsafe
m
P
e
φ
:
ht
true
m
P
e
φ
⊑
ht
false
m
P
e
φ
.
Proof
.
move
=>
w
n
r
He
;
move
:
n
e
φ
w
r
He
;
elim
/
wf_nat_ind
;
move
=>
n
IH
e
φ
w
r
/
unfold_wp
He
.
rewrite
unfold_wp
;
move
=>
w'
k
s
rf
mf
σ
HSw
HLt
HD
Hw
.
move
=>
wz
nz
rz
He
w
HSw
n
r
HLe
Hr
HP
.
move
:
{
He
P
wz
nz
rz
HSw
HLe
Hr
HP
}
(
He
_
HSw
_
_
HLe
Hr
HP
).
move
:
n
e
φ
w
r
;
elim
/
wf_nat_ind
;
move
=>
n
IH
e
φ
w
r
He
.
rewrite
unfold_wp
;
move
=>
w'
k
rf
mf
σ
HSw
HLt
HD
Hw
.
move
:
{
IH
}
(
IH
_
HLt
)
=>
IH
.
move
:
{
He
HSw
HLt
HD
Hw
}
(
He
_
_
_
_
_
_
HSw
HLt
HD
Hw
)
=>
[
HV
[
HS
[
HF
_
]
]
].
move
:
He
=>
/
unfold_wp
He
;
move
:
{
He
HSw
HLt
HD
Hw
}
(
He
_
_
_
_
_
HSw
HLt
HD
Hw
)
=>
[
HV
[
HS
[
HF
_
]
]
].
split
;
[
done
|
clear
HV
;
split
;
[
clear
HF
|
split
;
[
clear
HS
|
done
]
]
].
-
move
=>
σ
'
ei
ei'
K
HK
Hs
tep
.
move
:
{
HS
HK
Hs
tep
}
(
HS
_
_
_
_
HK
Hs
tep
)
=>
[
w''
[
r'
[
s'
[
HSw'
[
He'
Hw'
]
]
]
]
].
exists
w''
r'
s'
;
split
;
[
done
|
split
;
[
exact
:
IH
|
done
]
].
-
move
=>
σ
'
ei
ei'
K
HK
Hs
.
move
:
{
HS
HK
Hs
}
(
HS
_
_
_
_
HK
Hs
)
=>
[
w''
[
r'
[
HSw'
[
He'
Hw'
]
]
]
].
exists
w''
r'
;
split
;
[
done
|
split
;
[
exact
:
IH
|
done
]
].
move
=>
e'
K
HK
.
move
:
{
HF
HK
}
(
HF
_
_
HK
)
=>
[
w''
[
rfk
[
rret
[
s'
[
HSw'
[
Hk
[
He'
Hw'
]
]
]
]
]
]
].
exists
w''
rfk
rret
s'
;
split
;
[
done
|
split
;
[
exact
:
IH
|
split
;
[
exact
:
IH
|
done
]
]
].
Qed
.
Lemma
htUnsafe
m
P
e
φ
:
ht
true
m
P
e
φ
⊑
ht
false
m
P
e
φ
.
Proof
.
move
=>
w
n
rz
He
w'
HSw
n'
r
HLe
Hr
HP
.
move
:
{
He
P
w
n
rz
HSw
HLe
Hr
HP
}
(
He
_
HSw
_
_
HLe
Hr
HP
).
exact
:
wpUnsafe
.
move
:
{
HF
HK
}
(
HF
_
_
HK
)
=>
[
w''
[
rfk
[
rret
[
HSw'
[
Hk
[
He'
Hw'
]
]
]
]
]
].
exists
w''
rfk
rret
;
split
;
[
done
|
split
;
[
exact
:
IH
|
split
;
[
exact
:
IH
|
done
]
]
].
Qed
.
End
RobustSafety
.
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