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975d454b
Commit
975d454b
authored
Dec 12, 2016
by
Robbert Krebbers
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Plain Diff
Fix some FIXMEs.
parent
fc4ae5bc
Changes
4
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4 changed files
with
17 additions
and
31 deletions
+17
31
theories/atomic_incr.v
theories/atomic_incr.v
+4
6
theories/flat.v
theories/flat.v
+1
2
theories/misc.v
theories/misc.v
+1
2
theories/treiber.v
theories/treiber.v
+11
21
No files found.
theories/atomic_incr.v
View file @
975d454b
...
...
@@ 32,14 +32,12 @@ Section incr.
iL
ö
b
as
"IH"
.
iIntros
"!# HP"
.
wp_rec
.
(* FIXME: I should not have to apply wp_atomic manually here and below. *)
wp_bind
(!
_
)%
E
.
iApply
(
wp_atomic
_
∅
)
;
first
by
eauto
.
wp_bind
(!
_
)%
E
.
iMod
(
"Hvs"
with
"HP"
)
as
(
x
)
"[Hl [Hvs' _]]"
.
iModIntro
.
wp_load
.
wp_load
.
iMod
(
"Hvs'"
with
"Hl"
)
as
"HP"
.
iModIntro
.
wp_let
.
wp_bind
(
CAS
_
_
_
).
wp_op
.
iApply
(
wp_atomic
_
∅
)
;
first
by
eauto
.
iMod
(
"Hvs"
with
"HP"
)
as
(
x'
)
"[Hl Hvs']"
.
iModIntro
.
iMod
(
"Hvs"
with
"HP"
)
as
(
x'
)
"[Hl Hvs']"
.
destruct
(
decide
(
x
=
x'
)).

subst
.
iDestruct
"Hvs'"
as
"[_ Hvs']"
.
...
...
@@ 68,7 +66,7 @@ Section user.
Lemma
incr_2_safe
:
∀
(
x
:
Z
),
(
WP
incr_2
#
x
{{
_
,
True
}})%
I
.
Proof
.
iIntros
(
x
)
.
iProof
.
(* FIXME: I did iIntros, this should not be needed. *)
iIntros
(
x
)
""
.
(* FIXME: I did iIntros, this should not be needed. *)
rewrite
/
incr_2
/=.
wp_lam
.
wp_alloc
l
as
"Hl"
.
...
...
theories/flat.v
View file @
975d454b
...
...
@@ 245,8 +245,7 @@ Section proof.
iDestruct
(
ev_map_witness
_
_
_
m2
with
"[Hevm Hom2]"
)
as
%?
;
first
by
iFrame
.
iDestruct
(
big_sepM_delete
_
m2
with
"HRp"
)
as
"[HRk HRp]"
=>//.
iDestruct
"HRk"
as
(?)
"HRk"
.
(* FIXME: Giving the types here should not be necessary. *)
iDestruct
(@
mapsto_agree
loc
val
with
"[$HRk $Hp]"
)
as
%>.
iDestruct
(@
mapsto_agree
with
"[$HRk $Hp]"
)
as
%>.
iCombine
"HRk"
"Hp"
as
"Hp"
.
wp_store
.
(* now close the invariant *)
iDestruct
(
m_frag_agree'
with
"[Hx Hx2]"
)
as
"[Hx %]"
;
first
iFrame
.
...
...
theories/misc.v
View file @
975d454b
...
...
@@ 36,8 +36,7 @@ Section heap_extra.
p
↦
{
q1
}
a
∗
p
↦
{
q2
}
b
⊢
False
.
Proof
.
iIntros
(?)
"Hp"
.
(* FIXME: If I dont give the types here, it loops. *)
iDestruct
(@
mapsto_valid_2
loc
val
with
"Hp"
)
as
%
H'
.
done
.
iDestruct
(@
mapsto_valid_2
with
"Hp"
)
as
%
H'
.
done
.
Qed
.
End
heap_extra
.
...
...
theories/treiber.v
View file @
975d454b
...
...
@@ 63,18 +63,18 @@ Section proof.
+
iIntros
(
hd
)
"(Hxs & Hys)"
.
simpl
.
iDestruct
"Hys"
as
(
hd'
?)
"(Hhd & Hys')"
.
iExFalso
.
iDestruct
"Hxs"
as
(?)
"Hhd'"
.
(* FIXME: If I dont
give the types
here and below through this file, it loops. *)
by
iDestruct
(@
mapsto_agree
loc
val
with
"[$Hhd $Hhd']"
)
as
%?.
(* FIXME: If I dont
use the @
here and below through this file, it loops. *)
by
iDestruct
(@
mapsto_agree
with
"[$Hhd $Hhd']"
)
as
%?.

induction
ys
as
[
y
ys'
IHys'
].
+
iIntros
(
hd
)
"(Hxs & Hys)"
.
simpl
.
iExFalso
.
iDestruct
"Hxs"
as
(?
?)
"(Hhd & _)"
.
iDestruct
"Hys"
as
(?)
"Hhd'"
.
by
iDestruct
(@
mapsto_agree
loc
val
with
"[$Hhd $Hhd']"
)
as
%?.
by
iDestruct
(@
mapsto_agree
with
"[$Hhd $Hhd']"
)
as
%?.
+
iIntros
(
hd
)
"(Hxs & Hys)"
.
simpl
.
iDestruct
"Hxs"
as
(?
?)
"(Hhd & Hxs')"
.
iDestruct
"Hys"
as
(?
?)
"(Hhd' & Hys')"
.
iDestruct
(@
mapsto_agree
loc
val
with
"[$Hhd $Hhd']"
)
as
%[=
Heq
].
iDestruct
(@
mapsto_agree
with
"[$Hhd $Hhd']"
)
as
%[=
Heq
].
subst
.
iDestruct
(
IHxs'
with
"[Hxs' Hys']"
)
as
"%"
;
first
by
iFrame
.
by
subst
.
Qed
.
...
...
@@ 112,19 +112,16 @@ Section proof.
Lemma
push_atomic_spec
(
s
:
loc
)
(
x
:
val
)
:
push_triple
s
x
.
Proof
.
iProof
.
rewrite
/
push_triple
/
atomic_triple
.
rewrite
/
push_triple
/
atomic_triple
.
iIntros
(
P
Q
)
"#Hvs"
.
iL
ö
b
as
"IH"
.
iIntros
"!# HP"
.
wp_rec
.
wp_let
.
wp_bind
(!
_
)%
E
.
(* FIXME: I should not have to apply wp_atomic manually here and below. *)
iApply
(
wp_atomic
_
∅
)
;
first
by
eauto
.
iMod
(
"Hvs"
with
"HP"
)
as
([
xs
hd
])
"[[Hs Hhd] [Hvs' _]]"
.
iModIntro
.
iMod
(
"Hvs"
with
"HP"
)
as
([
xs
hd
])
"[[Hs Hhd] [Hvs' _]]"
.
wp_load
.
iMod
(
"Hvs'"
with
"[Hs Hhd]"
)
as
"HP"
;
first
by
iFrame
.
iModIntro
.
wp_let
.
wp_alloc
l
as
"Hl"
.
wp_let
.
wp_bind
(
CAS
_
_
_
)%
E
.
iApply
(
wp_atomic
_
∅
)
;
first
by
eauto
.
iMod
(
"Hvs"
with
"HP"
)
as
([
xs'
hd'
])
"[[Hs Hhd'] Hvs']"
.
iModIntro
.
destruct
(
decide
(
hd
=
hd'
))
as
[>
Hneq
].
destruct
(
decide
(
hd
=
hd'
))
as
[>
Hneq
].
*
wp_cas_suc
.
iDestruct
"Hvs'"
as
"[_ Hvs']"
.
iMod
(
"Hvs'"
$!
#()
with
"[]"
)
as
"HQ"
.
{
iExists
l
.
iSplitR
;
first
done
.
by
iFrame
.
}
...
...
@@ 150,15 +147,12 @@ Section proof.
Lemma
pop_atomic_spec
(
s
:
loc
)
:
pop_triple
s
.
Proof
.
iProof
.
rewrite
/
pop_triple
/
atomic_triple
.
iIntros
(
P
Q
)
"#Hvs"
.
iL
ö
b
as
"IH"
.
iIntros
"!# HP"
.
wp_rec
.
wp_bind
(!
_
)%
E
.
(* FIXME: I should not have to apply wp_atomic manually here and below. *)
iApply
(
wp_atomic
_
∅
)
;
first
by
eauto
.
iMod
(
"Hvs"
with
"HP"
)
as
([
xs
hd
])
"[[Hs Hhd] Hvs']"
.
iModIntro
.
destruct
xs
as
[
y'
xs'
].
destruct
xs
as
[
y'
xs'
].

simpl
.
wp_load
.
iDestruct
"Hvs'"
as
"[_ Hvs']"
.
iDestruct
"Hhd"
as
(
q
)
"[Hhd Hhd']"
.
iMod
(
"Hvs'"
$!
NONEV
with
"[Hhd]"
)
as
"HQ"
.
...
...
@@ 172,18 +166,16 @@ Section proof.
{
iFrame
.
iExists
hd'
,
(
q
/
2
)%
Qp
.
by
iFrame
.
}
iModIntro
.
wp_let
.
wp_load
.
wp_match
.
wp_proj
.
wp_bind
(
CAS
_
_
_
).
(* FIXME: I should not have to apply wp_atomic manually here and below. *)
iApply
(
wp_atomic
_
∅
)
;
first
by
eauto
.
iMod
(
"Hvs"
with
"HP"
)
as
([
xs
hd''
])
"[[Hs Hhd''] Hvs']"
.
iModIntro
.
destruct
(
decide
(
hd
=
hd''
))
as
[>
Hneq
].
destruct
(
decide
(
hd
=
hd''
))
as
[>
Hneq
].
+
wp_cas_suc
.
iDestruct
"Hvs'"
as
"[_ Hvs']"
.
iMod
(
"Hvs'"
$!
(
SOMEV
y'
)
with
"[]"
)
as
"HQ"
.
{
iRight
.
iExists
y'
,
(
q
/
2
/
2
)%
Qp
,
hd'
,
xs'
.
destruct
xs
as
[
x'
xs''
].

simpl
.
iDestruct
"Hhd''"
as
(?)
"H"
.
iExFalso
.
by
iDestruct
(@
mapsto_agree
loc
val
with
"[$Hhd1 $H]"
)
as
%?.
iExFalso
.
by
iDestruct
(@
mapsto_agree
with
"[$Hhd1 $H]"
)
as
%?.

simpl
.
iDestruct
"Hhd''"
as
(
hd'''
?)
"(Hhd'' & Hxs'')"
.
iDestruct
(@
mapsto_agree
loc
val
with
"[$Hhd1 $Hhd'']"
)
as
%[=].
iDestruct
(@
mapsto_agree
with
"[$Hhd1 $Hhd'']"
)
as
%[=].
subst
.
iDestruct
(
uniq_is_list
with
"[Hxs1 Hxs'']"
)
as
"%"
;
first
by
iFrame
.
subst
.
repeat
(
iSplitR
"Hxs1 Hs"
;
first
done
).
...
...
@@ 193,6 +185,4 @@ Section proof.
iMod
(
"Hvs'"
with
"[]"
)
as
"HP"
;
first
by
iFrame
.
iModIntro
.
wp_if
.
by
iApply
"IH"
.
Qed
.
End
proof
.
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