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Dan Frumin
ReLoC-v1
Commits
752493b6
Commit
752493b6
authored
Mar 29, 2018
by
Dan Frumin
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Better log. atomic spec. for weak increment
parent
b97a8212
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1
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theories/examples/ticket_lock.v
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752493b6
...
...
@@ -319,13 +319,13 @@ Section refinement.
cf
wkIncr
specification
from
(
da
Rocha
Pinto
,
Dinsdale
-
Young
,
Gardner
)
Parameter
type
:
nat
Precondition:
λ
n
,
x
↦ᵢ
n
Postcondition
λ
_
,
∃
n
,
x
↦ᵢ
n
Postcondition
λ
_
,
∃
n
,
x
↦ᵢ
(
n
+
1
)
*
)
Lemma
wkincr_atomic_l
R1
R2
Δ
Γ
E
K
x
t
τ
:
R2
-
∗
□
(
|={
⊤
,
E
}=>
∃
n
:
nat
,
x
↦ᵢ
#
n
∗
R1
n
∗
(
(
∃
n
:
nat
,
x
↦ᵢ
#
n
∗
R1
n
)
={
E
,
⊤
}=
∗
True
)
∧
(
∀
m
,
(
∃
n
:
nat
,
x
↦ᵢ
#
n
)
∗
R1
m
-
∗
R2
-
∗
(
x
↦ᵢ
#
n
∗
R1
n
={
E
,
⊤
}=
∗
True
)
∧
(
(
∃
n
:
nat
,
x
↦ᵢ
#(
n
+
1
))
∗
R1
n
-
∗
R2
-
∗
{
E
;
Δ
;
Γ
}
⊨
fill
K
Unit
≤
log
≤
t
:
τ
))
-
∗
(
{
Δ
;
Γ
}
⊨
fill
K
(
wkincr
#
x
)
≤
log
≤
t
:
τ
).
Proof
.
...
...
@@ -337,7 +337,7 @@ Section refinement.
iMod
"H"
as
(
n
)
"[Hx [HR1 [Hrev _]]]"
.
iModIntro
.
iExists
_
;
iFrame
.
iNext
.
iIntros
"Hx"
.
iMod
(
"Hrev"
with
"[HR1 Hx]"
)
as
"_"
;
simpl
.
{
i
Exists
_.
i
Frame
.
}
{
iFrame
.
}
rel_op_l
.
rel_store_l_atomic
.
iMod
"H2"
as
(
m
)
"[Hx [HR1 [_ Hmod]]]"
.
iModIntro
.
...
...
@@ -364,15 +364,15 @@ Section refinement.
openI
.
iModIntro
.
iExists
_
;
iFrame
.
rewrite
{
1
}/
R
.
iSplitR
"Hcl"
.
{
iExists
_
,
_
;
by
iFrame
.
}
clear
o
n
b
.
{
iExists
_
,
_
;
by
iFrame
.
}
iSplit
.
-
i
Destruct
1
as
(
o
)
"[Hlo HR]"
.
unfold
R
.
iDestruct
"HR"
as
(
n
b
)
"HR"
.
-
i
Intros
"[Hlo HR]"
.
unfold
R
.
iDestruct
"HR"
as
(
n
'
b
'
)
"HR"
.
iApply
"Hcl"
.
iNext
.
iExists
_
,
_
,
_
;
by
iFrame
.
-
iIntros
(
?
)
"[Hlo HR] _"
.
iDestruct
"Hlo"
as
(
o
)
"Hlo"
.
unfold
R
.
iDestruct
"HR"
as
(
n
b
)
"(Hln & Hissued & Hl' & Hticket)"
.
-
iIntros
"[Hlo HR] _"
.
iDestruct
"Hlo"
as
(
o
'
)
"Hlo"
.
unfold
R
.
iDestruct
"HR"
as
(
n
'
b
'
)
"(Hln & Hissued & Hl' & Hticket)"
.
rel_apply_r
(
bin_log_related_release_r
with
"Hl'"
).
{
solve_ndisj
.
}
iIntros
"Hl'"
.
...
...
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