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Tej Chajed
iris
Commits
775c4837
Commit
775c4837
authored
Mar 24, 2017
by
Jeehoon Kang
Browse files
Refactor the resources for ticket lock
parent
def1099f
Changes
1
Hide whitespace changes
Inline
Side-by-side
theories/heap_lang/lib/ticket_lock.v
View file @
775c4837
...
...
@@ -49,10 +49,8 @@ Section proof.
(
∃
lo
ln
:
loc
,
⌜
lk
=
(#
lo
,
#
ln
)%
V
⌝
∗
inv
N
(
lock_inv
γ
lo
ln
R
))%
I
.
Definition
issued
(
γ
:
gname
)
(
lk
:
val
)
(
x
:
nat
)
(
R
:
iProp
Σ
)
:
iProp
Σ
:
=
(
∃
lo
ln
:
loc
,
⌜
lk
=
(#
lo
,
#
ln
)%
V
⌝
∗
inv
N
(
lock_inv
γ
lo
ln
R
)
∗
own
γ
(
◯
(
∅
,
GSet
{[
x
]})))%
I
.
Definition
issued
(
γ
:
gname
)
(
x
:
nat
)
:
iProp
Σ
:
=
own
γ
(
◯
(
∅
,
GSet
{[
x
]}))%
I
.
Definition
locked
(
γ
:
gname
)
:
iProp
Σ
:
=
(
∃
o
,
own
γ
(
◯
(
Excl'
o
,
∅
)))%
I
.
...
...
@@ -86,9 +84,9 @@ Section proof.
Qed
.
Lemma
wait_loop_spec
γ
lk
x
R
:
{{{
issued
γ
lk
x
R
}}}
wait_loop
#
x
lk
{{{
RET
#()
;
locked
γ
∗
R
}}}.
{{{
is_lock
γ
lk
R
∗
issued
γ
x
}}}
wait_loop
#
x
lk
{{{
RET
#()
;
locked
γ
∗
R
}}}.
Proof
.
iIntros
(
Φ
)
"Hl HΦ"
.
iDestruct
"Hl"
as
(
lo
ln
)
"(% & #?
& Ht
)"
.
iIntros
(
Φ
)
"
[
Hl
Ht]
HΦ"
.
iDestruct
"Hl"
as
(
lo
ln
)
"(% & #?)"
.
iL
ö
b
as
"IH"
.
wp_rec
.
subst
.
wp_let
.
wp_proj
.
wp_bind
(!
_
)%
E
.
iInv
N
as
(
o
n
)
"(Hlo & Hln & Ha)"
"Hclose"
.
wp_load
.
destruct
(
decide
(
x
=
o
))
as
[->|
Hneq
].
...
...
@@ -129,7 +127,7 @@ Section proof.
rewrite
Nat2Z
.
inj_succ
-
Z
.
add_1_r
.
by
iFrame
.
}
iModIntro
.
wp_if
.
iApply
(
wait_loop_spec
γ
(#
lo
,
#
ln
)
with
"[-HΦ]"
).
+
rewrite
/
is
sued
;
eauto
10
.
+
iFrame
.
rewrite
/
is
_lock
;
eauto
10
.
+
by
iNext
.
-
wp_cas_fail
.
iMod
(
"Hclose"
with
"[Hlo' Hln' Hauth Haown]"
)
as
"_"
.
...
...
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