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Rice Wine
Iris
Commits
04d9c591
Commit
04d9c591
authored
Nov 08, 2016
by
Robbert Krebbers
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Simplify heap_lang/lifting.v proofs.
parent
5e3835f8
Changes
1
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7 deletions
+6
-7
heap_lang/lifting.v
heap_lang/lifting.v
+6
-7
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heap_lang/lifting.v
View file @
04d9c591
...
...
@@ -61,7 +61,7 @@ Lemma wp_load_pst E σ l v :
σ
!!
l
=
Some
v
→
{{{
▷
ownP
σ
}}}
Load
(
Lit
(
LitLoc
l
))
@
E
{{{
RET
v
;
ownP
σ
}}}.
Proof
.
intros
?
Φ
.
apply
(
wp_lift_atomic_det_head_step'
σ
v
σ
)
;
eauto
.
intros
?
Φ
.
apply
wp_lift_atomic_det_head_step'
;
eauto
.
intros
;
inv_head_step
;
eauto
.
Qed
.
...
...
@@ -70,7 +70,7 @@ Lemma wp_store_pst E σ l v v' :
{{{
▷
ownP
σ
}}}
Store
(
Lit
(
LitLoc
l
))
(
of_val
v
)
@
E
{{{
RET
LitV
LitUnit
;
ownP
(<[
l
:
=
v
]>
σ
)
}}}.
Proof
.
intros
.
apply
(
wp_lift_atomic_det_head_step'
σ
(
LitV
LitUnit
)
(<[
l
:
=
v
]>
σ
))
;
eauto
.
intros
.
apply
wp_lift_atomic_det_head_step'
;
eauto
.
intros
;
inv_head_step
;
eauto
.
Qed
.
...
...
@@ -79,7 +79,7 @@ Lemma wp_cas_fail_pst E σ l v1 v2 v' :
{{{
▷
ownP
σ
}}}
CAS
(
Lit
(
LitLoc
l
))
(
of_val
v1
)
(
of_val
v2
)
@
E
{{{
RET
LitV
$
LitBool
false
;
ownP
σ
}}}.
Proof
.
intros
.
apply
(
wp_lift_atomic_det_head_step'
σ
(
LitV
$
LitBool
false
)
σ
)
;
eauto
.
intros
.
apply
wp_lift_atomic_det_head_step'
;
eauto
.
intros
;
inv_head_step
;
eauto
.
Qed
.
...
...
@@ -88,8 +88,7 @@ Lemma wp_cas_suc_pst E σ l v1 v2 :
{{{
▷
ownP
σ
}}}
CAS
(
Lit
(
LitLoc
l
))
(
of_val
v1
)
(
of_val
v2
)
@
E
{{{
RET
LitV
$
LitBool
true
;
ownP
(<[
l
:
=
v2
]>
σ
)
}}}.
Proof
.
intros
.
apply
(
wp_lift_atomic_det_head_step'
σ
(
LitV
$
LitBool
true
)
(<[
l
:
=
v2
]>
σ
))
;
eauto
.
intros
.
apply
wp_lift_atomic_det_head_step'
;
eauto
.
intros
;
inv_head_step
;
eauto
.
Qed
.
...
...
@@ -136,14 +135,14 @@ Qed.
Lemma
wp_if_true
E
e1
e2
Φ
:
▷
WP
e1
@
E
{{
Φ
}}
⊢
WP
If
(
Lit
(
LitBool
true
))
e1
e2
@
E
{{
Φ
}}.
Proof
.
rewrite
-(
wp_lift_pure_det_head_step'
(
If
_
_
_
)
e1
)
;
eauto
.
apply
wp_lift_pure_det_head_step'
;
eauto
.
intros
;
inv_head_step
;
eauto
.
Qed
.
Lemma
wp_if_false
E
e1
e2
Φ
:
▷
WP
e2
@
E
{{
Φ
}}
⊢
WP
If
(
Lit
(
LitBool
false
))
e1
e2
@
E
{{
Φ
}}.
Proof
.
rewrite
-(
wp_lift_pure_det_head_step'
(
If
_
_
_
)
e2
)
;
eauto
.
apply
wp_lift_pure_det_head_step'
;
eauto
.
intros
;
inv_head_step
;
eauto
.
Qed
.
...
...
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