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27426fec
Commit
27426fec
authored
Nov 05, 2019
by
Jonas Kastberg
Committed by
Robbert
Nov 05, 2019
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Added a stronger version of cinv_open_strong
parent
1bb62ee3
Changes
2
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CHANGELOG.md
CHANGELOG.md
+2
0
theories/base_logic/lib/cancelable_invariants.v
theories/base_logic/lib/cancelable_invariants.v
+21
11
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CHANGELOG.md
View file @
27426fec
...
...
@@ 9,6 +9,8 @@ Coq development, but not every APIbreaking change is listed. Changes marked
*
[#] Redefine invariants as "semantic invariants" so that they support
splitting and other forms of weakening.
*
Updated the strong variant of the opening lemma for cancellable invariants
to match that of regular invariants, where you can pick the mask at a later time.
**Changes in Coq:**
...
...
theories/base_logic/lib/cancelable_invariants.v
View file @
27426fec
...
...
@@ 81,17 +81,24 @@ Section proofs.
Lemma
cinv_open_strong
E
N
γ
p
P
:
↑
N
⊆
E
→
cinv
N
γ
P

∗
cinv_own
γ
p
={
E
,
E
∖↑
N
}=
∗
▷
P
∗
cinv_own
γ
p
∗
(
▷
P
∨
cinv_own
γ
1
={
E
∖↑
N
,
E
}=
∗
True
).
cinv
N
γ
P

∗
(
cinv_own
γ
p
={
E
,
E
∖↑
N
}=
∗
▷
P
∗
cinv_own
γ
p
∗
(
∀
E'
:
coPset
,
▷
P
∨
cinv_own
γ
1
={
E'
,
↑
N
∪
E'
}=
∗
True
)
).
Proof
.
iIntros
(?)
"#Hinv Hγ"
.
iDestruct
"Hinv"
as
(
P'
)
"[#HP' Hinv]"
.
iInv
N
as
"[HP  >Hγ']"
"Hclose"
.

iIntros
"!> {$Hγ}"
.
iSplitL
"HP"
.
+
iNext
.
iApply
"HP'"
.
done
.
+
iIntros
"[HPHγ]"
.
*
iApply
"Hclose"
.
iLeft
.
iNext
.
by
iApply
"HP'"
.
*
iApply
"Hclose"
.
iRight
.
by
iNext
.

iDestruct
(
cinv_own_1_l
with
"Hγ' Hγ"
)
as
%[].
iIntros
(?)
"Hinv Hown"
.
unfold
cinv
.
iDestruct
"Hinv"
as
(
P'
)
"[#HP' Hinv]"
.
iPoseProof
(
inv_open
(
↑
N
)
N
(
P
∨
cinv_own
γ
1
)
with
"[Hinv]"
)
as
"H"
;
first
done
.
{
iApply
inv_iff
=>
//.
iModIntro
.
iModIntro
.
iSplit
;
iIntros
"[H  $]"
;
iDestruct
(
"HP'"
with
"H"
)
as
"$"
.
}
rewrite
difference_diag_L
.
iPoseProof
(
fupd_mask_frame_r
_
_
(
E
∖
↑
N
)
with
"H"
)
as
"H"
;
first
set_solver
.
rewrite
left_id_L

union_difference_L
//.
iMod
"H"
as
"[[$  >HP] H]"
.

iFrame
"Hown"
.
iModIntro
.
iIntros
(
E'
)
"HP"
.
iPoseProof
(
fupd_mask_frame_r
_
_
E'
with
"(H [HP])"
)
as
"H"
;
first
set_solver
.
{
iDestruct
"HP"
as
"[HP  Hown]"
;
eauto
.
}
by
rewrite
left_id_L
.

iDestruct
(
cinv_own_1_l
with
"HP Hown"
)
as
%[].
Qed
.
Lemma
cinv_alloc
E
N
P
:
▷
P
={
E
}=
∗
∃
γ
,
cinv
N
γ
P
∗
cinv_own
γ
1
.
...
...
@@ 104,6 +111,7 @@ Section proofs.
Proof
.
iIntros
(?)
"#Hinv Hγ"
.
iMod
(
cinv_open_strong
with
"Hinv Hγ"
)
as
"($ & Hγ & H)"
;
first
done
.
rewrite
{
2
}(
union_difference_L
(
↑
N
)
E
)=>
//.
iApply
"H"
.
by
iRight
.
Qed
.
...
...
@@ 113,7 +121,9 @@ Section proofs.
Proof
.
iIntros
(?)
"#Hinv Hγ"
.
iMod
(
cinv_open_strong
with
"Hinv Hγ"
)
as
"($ & $ & H)"
;
first
done
.
iIntros
"!> HP"
.
iApply
"H"
;
auto
.
iIntros
"!> HP"
.
rewrite
{
2
}(
union_difference_L
(
↑
N
)
E
)=>
//.
iApply
"H"
.
by
iLeft
.
Qed
.
Global
Instance
into_inv_cinv
N
γ
P
:
IntoInv
(
cinv
N
γ
P
)
N
:
=
{}.
...
...
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