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Iris
c
Commits
2abfd22c
Commit
2abfd22c
authored
May 03, 2018
by
Robbert Krebbers
Browse files
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Plain Diff
Use `gen_proofmode`.
parent
4e5128c0
Changes
11
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11 changed files
with
46 additions
and
133 deletions
+46
-133
_CoqProject
_CoqProject
+0
-1
opam
opam
+1
-1
theories/c_translation/lifting.v
theories/c_translation/lifting.v
+1
-3
theories/c_translation/monad.v
theories/c_translation/monad.v
+0
-1
theories/c_translation/proofmode.v
theories/c_translation/proofmode.v
+1
-4
theories/c_translation/translation.v
theories/c_translation/translation.v
+6
-7
theories/lib/U.v
theories/lib/U.v
+24
-8
theories/lib/flock.v
theories/lib/flock.v
+1
-1
theories/lib/locking_heap.v
theories/lib/locking_heap.v
+11
-23
theories/lib/unlock_classes.v
theories/lib/unlock_classes.v
+0
-81
theories/tests/test1.v
theories/tests/test1.v
+1
-3
No files found.
_CoqProject
View file @
2abfd22c
...
...
@@ -5,7 +5,6 @@ theories/lib/mset.v
theories/lib/flock.v
theories/lib/locking_heap.v
theories/lib/U.v
theories/lib/unlock_classes.v
theories/c_translation/monad.v
theories/c_translation/lifting.v
theories/c_translation/proofmode.v
...
...
opam
View file @
2abfd22c
...
...
@@ -9,5 +9,5 @@ build: [make "-j%{jobs}%"]
install: [make "install"]
remove: ["rm" "-rf" "%{lib}%/coq/user-contrib/iris-c-monad"]
depends: [
"coq-iris" { (= "
dev.2018-04-27.2.1ab890fc
") | (= "dev") }
"coq-iris" { (= "
branch.gen_proofmode.2018-04-25.1.8a0ff185
") | (= "dev") }
]
theories/c_translation/lifting.v
View file @
2abfd22c
From
iris
.
heap_lang
Require
Export
proofmode
notation
.
From
iris
.
algebra
Require
Import
frac
auth
.
From
iris
.
base_logic
.
lib
Require
Import
fractional
.
From
iris_c
.
lib
Require
Export
locking_heap
mset
flock
.
From
iris_c
.
lib
Require
Export
locking_heap
flock
.
From
iris_c
.
c_translation
Require
Export
monad
.
Section
lifting
.
...
...
theories/c_translation/monad.v
View file @
2abfd22c
From
iris
.
heap_lang
Require
Export
proofmode
notation
.
From
iris
.
heap_lang
Require
Import
adequacy
spin_lock
assert
par
.
From
iris
.
algebra
Require
Import
frac
.
From
iris
.
base_logic
.
lib
Require
Import
fractional
.
From
iris_c
.
lib
Require
Import
mset
flock
locking_heap
.
(* M A := ref (list loc) → Mutex → A *)
...
...
theories/c_translation/proofmode.v
View file @
2abfd22c
From
iris
.
heap_lang
Require
Export
proofmode
notation
.
From
iris
.
heap_lang
Require
Import
spin_lock
assert
par
.
From
iris
.
algebra
Require
Import
frac
auth
.
From
iris
.
base_logic
.
lib
Require
Import
fractional
.
From
iris_c
.
lib
Require
Import
locking_heap
mset
flock
.
From
iris_c
.
lib
Require
Export
unlock_classes
.
From
iris_c
.
c_translation
Require
Export
monad
lifting
.
From
iris
.
proofmode
Require
Import
coq_tactics
.
...
...
@@ -15,7 +12,7 @@ Lemma tac_awp_pure `{locking_heapG Σ, heapG Σ, flockG Σ} Δ Δ' K e1 e2 e φ
envs_entails
Δ
'
(
awp
(
fill
K
e2
)
R
Φ
)
→
envs_entails
Δ
(
awp
e
R
Φ
).
Proof
.
rewrite
/
envs_entails
=>
->
???
H
Δ
'
.
rewrite
into_laterN_env_sound
/=.
rewrite
envs_entails_eq
=>
->
???
H
Δ
'
.
rewrite
into_laterN_env_sound
/=.
rewrite
H
Δ
'
-
awp_pure
//.
Qed
.
...
...
theories/c_translation/translation.v
View file @
2abfd22c
From
iris
.
heap_lang
Require
Export
proofmode
notation
.
From
iris
.
heap_lang
Require
Import
spin_lock
assert
par
.
From
iris
.
algebra
Require
Import
frac
auth
.
From
iris
.
base_logic
.
lib
Require
Import
fractional
.
From
iris_c
.
lib
Require
Import
locking_heap
mset
flock
U
.
From
iris_c
.
c_translation
Require
Import
monad
lifting
proofmode
.
...
...
@@ -83,7 +82,7 @@ Section proofs.
iMod
(
locking_heap_change_lock
_
_
_
ULvl
with
"Hσ Hu"
)
as
"[Hσ Hu]"
.
iApply
(
"IH"
with
"Hus [HΦ Hu] Hσ [Hls] HR HX"
).
{
iIntros
"Hus"
.
iApply
"HΦ"
.
by
iFrame
.
}
{
rewrite
-
big_sepM_insert_override
;
eauto
.
}
{
rewrite
-
bi
.
bi
g_sepM_insert_override
;
eauto
.
}
Qed
.
Lemma
a_fill
R
Ψ
Φ
K
e
:
...
...
@@ -105,7 +104,7 @@ Section proofs.
iIntros
(
v
)
"H /="
.
rewrite
/
a_seq_bind
.
awp_lam
.
awp_lam
.
iApply
awp_bind
.
iApply
(
awp_wand
with
"H"
).
iIntros
(
w
)
"H"
.
awp_lam
.
iApply
awp_bind
.
iApply
a_seq_spec
.
i
Unlock
.
by
awp_lam
.
i
ModIntro
.
by
awp_lam
.
Qed
.
Lemma
a_load_spec
R
(
l
:
loc
)
(
v
:
val
)
Φ
:
...
...
@@ -160,14 +159,14 @@ Section proofs.
wp_let
.
wp_alloc
l
as
"Hl"
.
iAssert
(
⌜σ
!!
l
=
None
⌝
)%
I
with
"[Hl Hls]"
as
%
Hl
.
{
remember
(
σ
!!
l
)
as
σ
l
.
destruct
σ
l
;
simplify_eq
;
eauto
.
iExFalso
.
rewrite
(
big_sepM_lookup
_
σ
l
_
)
;
last
eauto
.
iExFalso
.
rewrite
(
bi
.
bi
g_sepM_lookup
_
σ
l
_
)
;
last
eauto
.
iDestruct
"Hls"
as
(
v'
)
"Hl'"
.
by
iDestruct
(
mapsto_valid_2
l
with
"Hl Hl'"
)
as
%[].
}
iDestruct
"Hl"
as
"[Hl Hl']"
.
iMod
(
locking_heap_alloc
σ
l
ULvl
v
with
"Hl' Hσ"
)
as
"[Hσ Hl']"
;
eauto
.
iModIntro
.
iFrame
"HR"
.
iSplitR
"HΦ Hl'"
.
-
iExists
X
,(<[
l
:
=
ULvl
]>
σ
).
iFrame
.
iSplit
.
+
rewrite
big_sepM_insert
;
eauto
.
iFrame
.
eauto
.
+
rewrite
bi
.
bi
g_sepM_insert
;
eauto
.
iFrame
.
eauto
.
+
iPureIntro
.
by
rewrite
locked_locs_alloc_unlocked
.
-
by
iApply
"HΦ"
.
Qed
.
...
...
@@ -213,7 +212,7 @@ iDestruct ("HΦ" with "H1 H2") as (v) "[Hv HΦ]".
iMod
(
locking_heap_change_lock
_
_
ULvl
LLvl
with
"Hσ Hv"
)
as
"[Hσ Hv]"
.
do
2
wp_proj
.
rewrite
mapsto_eq
/
mapsto_def
.
iDestruct
"Hv"
as
"[Hv Hl]"
.
rewrite
(
big_sepM_lookup_acc
_
_
l
ULvl
)
;
last
done
.
rewrite
(
bi
.
bi
g_sepM_lookup_acc
_
_
l
ULvl
)
;
last
done
.
iDestruct
"Hls"
as
"[Hl' Hls]"
.
iDestruct
"Hl'"
as
(?)
"Hl'"
.
iDestruct
(
mapsto_agree
l
(
1
/
2
)
(
1
/
2
)
with
"Hl' Hv"
)
as
%->.
...
...
@@ -223,7 +222,7 @@ iDestruct ("HΦ" with "H1 H2") as (v) "[Hv HΦ]".
iSpecialize
(
"Hls"
with
"[Hl']"
)
;
eauto
.
wp_proj
.
iFrame
"HR"
.
iSplitR
"HΦ Hl Hv"
.
-
iExists
({[#
l
]}
∪
X
),(<[
l
:
=
LLvl
]>
σ
).
iFrame
.
iSplitL
.
+
rewrite
-
big_sepM_insert_override
;
eauto
.
+
rewrite
-
bi
.
bi
g_sepM_insert_override
;
eauto
.
+
(* TODO: a separate lemma somewhere *)
iPureIntro
.
rewrite
locked_locs_lock
.
revert
Hlocks
.
rewrite
/
correct_locks
/
set_Forall
.
set_solver
.
...
...
theories/lib/U.v
View file @
2abfd22c
From
iris
.
heap_lang
Require
Export
proofmode
notation
.
From
iris
.
algebra
Require
Import
frac
.
From
iris
.
base_logic
.
lib
Require
Import
fractional
.
From
iris_c
.
lib
Require
Import
flock
locking_heap
.
From
iris
.
proofmode
Require
Import
modalities
classes
.
Section
contents
.
Context
`
{
heapG
Σ
,
flockG
Σ
,
locking_heapG
Σ
}.
...
...
@@ -12,7 +12,7 @@ Section contents.
([
∗
list
]
x
∈
ls
,
x
.
1
↦
L
x
.
2
)
∗
(([
∗
list
]
x
∈
ls
,
x
.
1
↦
U
x
.
2
)
-
∗
P
))%
I
.
Lemma
U_mono
P
Q
:
(
P
⊢
Q
)
→
(
U
P
)
⊢
(
U
Q
)
.
Lemma
U_mono
P
Q
:
(
P
⊢
Q
)
→
U
P
⊢
U
Q
.
Proof
.
intros
HPQ
.
unfold
U
.
iDestruct
1
as
(
ls
)
"[Hls HP]"
.
...
...
@@ -22,15 +22,15 @@ Section contents.
Lemma
U_intro
P
:
P
⊢
U
P
.
Proof
.
iIntros
"HP"
.
iExists
[].
rewrite
!
big_sepL_nil
.
eauto
.
rewrite
!
bi
.
bi
g_sepL_nil
.
eauto
.
Qed
.
Lemma
U_
multiplicative
P
Q
:
(
U
P
)
∗
(
U
Q
)
⊢
(
U
(
P
∗
Q
)
).
Lemma
U_
sep_2
P
Q
:
U
P
∗
U
Q
⊢
U
(
P
∗
Q
).
Proof
.
iIntros
"[HP HQ]"
.
iDestruct
"HP"
as
(
ls1
)
"[HP1 HP2]"
.
iDestruct
"HQ"
as
(
ls2
)
"[HQ1 HQ2]"
.
iExists
(
ls1
++
ls2
).
rewrite
!
big_sepL_app
.
iFrame
.
iExists
(
ls1
++
ls2
).
rewrite
!
bi
.
bi
g_sepL_app
.
iFrame
.
iIntros
"[HP1 HQ1]"
.
iSplitL
"HP1 HP2"
.
-
by
iApply
"HP2"
.
-
by
iApply
"HQ2"
.
...
...
@@ -38,9 +38,25 @@ Section contents.
Lemma
U_unlock
l
v
:
l
↦
L
v
⊢
U
(
l
↦
U
v
).
Proof
.
iIntros
"Hl"
.
iExists
[(
l
,
v
)].
rewrite
!
big_sepL_cons
!
big_sepL_nil
!
right_id
.
iFrame
.
simpl
.
iIntros
"Hl"
.
iFrame
.
iIntros
"Hl"
.
iExists
[(
l
,
v
)].
iIntros
"/= {$Hl} [$ _]"
.
Qed
.
Class
IntoUnlock
(
P
Q
:
iProp
Σ
)
:
=
into_unlock
:
P
⊢
U
Q
.
Global
Instance
into_unlock_intro
P
:
IntoUnlock
(
U
P
)
P
.
Proof
.
rewrite
/
IntoUnlock
.
reflexivity
.
Qed
.
Global
Instance
into_unlock_id
P
:
IntoUnlock
P
P
|
10
.
Proof
.
apply
U_intro
.
Qed
.
Global
Instance
into_unlock_unlock
l
v
:
IntoUnlock
(
l
↦
L
v
)%
I
(
l
↦
U
v
)%
I
|
0
.
Proof
.
apply
U_unlock
.
Qed
.
Lemma
modality_U_mixin
:
modality_mixin
U
MIEnvId
(
MIEnvTransform
IntoUnlock
).
Proof
.
split
;
simpl
;
eauto
using
bi
.
equiv_entails_sym
,
U_intro
,
U_mono
,
U_sep_2
with
typeclass_instances
.
Qed
.
Definition
modality_U
:
=
Modality
_
modality_U_mixin
.
Global
Instance
from_modal_later
P
:
FromModal
modality_U
(
U
P
)
(
U
P
)
P
.
Proof
.
by
rewrite
/
FromModal
.
Qed
.
End
contents
.
theories/lib/flock.v
View file @
2abfd22c
...
...
@@ -3,7 +3,7 @@ From iris.heap_lang Require Export proofmode notation.
From
iris
.
heap_lang
Require
Import
spin_lock
.
From
iris
.
base_logic
.
lib
Require
Import
cancelable_invariants
.
From
iris
.
algebra
Require
Import
auth
excl
frac
.
From
iris
.
b
ase_logic
.
lib
Require
Import
fractional
.
From
iris
.
b
i
.
lib
Require
Import
fractional
.
Inductive
lockstate
:
=
|
Locked
:
frac
→
lockstate
...
...
theories/lib/locking_heap.v
View file @
2abfd22c
...
...
@@ -57,17 +57,17 @@ Section definitions.
Definition
mapsto_eq
:
@
mapsto
=
@
mapsto_def
:
=
seal_eq
mapsto_aux
.
End
definitions
.
Local
Notation
"l ↦[ x ] v"
:
=
(
mapsto
l
x
v
)
(
at
level
20
,
x
at
level
50
,
format
"l ↦[ x ] v"
)
:
uPred
_scope
.
Local
Notation
"l ↦L v"
:
=
(
l
↦
[
LLvl
]
v
)%
I
(
at
level
20
,
format
"l ↦L v"
)
:
uPred
_scope
.
Local
Notation
"l ↦U v"
:
=
(
l
↦
[
ULvl
]
v
)%
I
(
at
level
20
,
format
"l ↦U v"
)
:
uPred
_scope
.
Local
Notation
"l ↦L -"
:
=
(
∃
v
,
l
↦
L
v
)%
I
(
at
level
20
,
format
"l ↦L -"
)
:
uPred
_scope
.
Local
Notation
"l ↦U -"
:
=
(
∃
v
,
l
↦
U
v
)%
I
(
at
level
20
,
format
"l ↦U -"
)
:
uPred
_scope
.
Notation
"l ↦[ x ] v"
:
=
(
mapsto
l
x
v
)
(
at
level
20
,
x
at
level
50
,
format
"l ↦[ x ] v"
)
:
bi
_scope
.
Notation
"l ↦L v"
:
=
(
l
↦
[
LLvl
]
v
)%
I
(
at
level
20
,
format
"l ↦L v"
)
:
bi
_scope
.
Notation
"l ↦U v"
:
=
(
l
↦
[
ULvl
]
v
)%
I
(
at
level
20
,
format
"l ↦U v"
)
:
bi
_scope
.
Notation
"l ↦L -"
:
=
(
∃
v
,
l
↦
L
v
)%
I
(
at
level
20
,
format
"l ↦L -"
)
:
bi
_scope
.
Notation
"l ↦U -"
:
=
(
∃
v
,
l
↦
U
v
)%
I
(
at
level
20
,
format
"l ↦U -"
)
:
bi
_scope
.
Lemma
to_locking_heap_valid
(
σ
:
gmap
loc
level
)
:
✓
to_locking_heap
σ
.
Proof
.
intros
l
.
rewrite
lookup_fmap
.
by
case
(
σ
!!
l
).
Qed
.
...
...
@@ -203,15 +203,3 @@ Section properties.
by
iDestruct
"Hauth"
as
"[$ $]"
.
Qed
.
End
properties
.
Notation
"l ↦[ x ] v"
:
=
(
mapsto
l
x
v
)
(
at
level
20
,
x
at
level
50
,
format
"l ↦[ x ] v"
)
:
uPred_scope
.
Notation
"l ↦L v"
:
=
(
l
↦
[
LLvl
]
v
)%
I
(
at
level
20
,
format
"l ↦L v"
)
:
uPred_scope
.
Notation
"l ↦U v"
:
=
(
l
↦
[
ULvl
]
v
)%
I
(
at
level
20
,
format
"l ↦U v"
)
:
uPred_scope
.
Notation
"l ↦L -"
:
=
(
∃
v
,
l
↦
L
v
)%
I
(
at
level
20
,
format
"l ↦L -"
)
:
uPred_scope
.
Notation
"l ↦U -"
:
=
(
∃
v
,
l
↦
U
v
)%
I
(
at
level
20
,
format
"l ↦U -"
)
:
uPred_scope
.
theories/lib/unlock_classes.v
deleted
100644 → 0
View file @
4e5128c0
From
iris
.
proofmode
Require
Import
coq_tactics
.
From
iris
.
proofmode
Require
Export
tactics
.
From
iris_c
.
lib
Require
Export
locking_heap
U
.
Import
uPred
.
Section
classes
.
Context
`
{
heapG
Σ
,
locking_heapG
Σ
}.
Class
IntoUnlock
(
P
Q
:
iProp
Σ
)
:
=
into_unlock
:
P
⊢
U
Q
.
Class
FromUnlock
(
P
Q
:
iProp
Σ
)
:
=
from_unlock
:
U
Q
⊢
P
.
Global
Instance
into_unlock_intro
P
:
IntoUnlock
(
U
P
)
P
.
Proof
.
rewrite
/
IntoUnlock
.
reflexivity
.
Qed
.
Global
Instance
into_unlock_id
P
:
IntoUnlock
P
P
|
10
.
Proof
.
apply
U_intro
.
Qed
.
Global
Instance
into_unlock_unlock
l
v
:
IntoUnlock
(
l
↦
L
v
)%
I
(
l
↦
U
v
)%
I
|
0
.
Proof
.
apply
U_unlock
.
Qed
.
Global
Instance
from_unlock_unlock
P
:
FromUnlock
(
U
P
)
P
.
Proof
.
rewrite
/
FromUnlock
.
reflexivity
.
Qed
.
Class
IntoUnlockEnv
(
Γ
1
Γ
2
:
env
(
iProp
Σ
))
:
=
into_unlock_env
:
env_Forall2
IntoUnlock
Γ
1
Γ
2
.
Class
IntoUnlockEnvs
(
Δ
1
Δ
2
:
envs
(
iResUR
Σ
))
:
=
{
into_unlock_persistent
:
[
∗
]
(
env_persistent
Δ
1
)
⊢
[
∗
]
(
env_persistent
Δ
2
)
;
into_unlocks_wf
:
envs_wf
Δ
1
→
envs_wf
Δ
2
;
into_unlock_spatial
:
IntoUnlockEnv
(
env_spatial
Δ
1
)
(
env_spatial
Δ
2
)
}.
Global
Instance
into_unlock_env_nil
:
IntoUnlockEnv
Enil
Enil
.
Proof
.
constructor
.
Qed
.
Global
Instance
into_unlock_env_snoc
Γ
1
Γ
2
i
P
Q
:
IntoUnlockEnv
Γ
1
Γ
2
→
IntoUnlock
P
Q
→
IntoUnlockEnv
(
Esnoc
Γ
1
i
P
)
(
Esnoc
Γ
2
i
Q
).
Proof
.
by
constructor
.
Qed
.
Global
Instance
into_unlock_envs
Γ
p
Γ
s1
Γ
s2
:
IntoUnlockEnv
Γ
s1
Γ
s2
→
IntoUnlockEnvs
(
Envs
Γ
p
Γ
s1
)
(
Envs
Γ
p
Γ
s2
).
Proof
.
split
;
try
done
.
destruct
1
;
constructor
;
try
naive_solver
eauto
using
env_Forall2_wf
,
env_Forall2_fresh
.
Qed
.
Lemma
into_unlock_env_sound
Δ
1
Δ
2
:
IntoUnlockEnv
Δ
1
Δ
2
→
[
∗
]
Δ
1
⊢
U
([
∗
]
Δ
2
).
Proof
.
intros
Hs
;
simpl
.
induction
Hs
;
simpl
.
-
apply
U_intro
.
-
rewrite
-
U_multiplicative
.
by
apply
uPred
.
sep_mono
.
Qed
.
Lemma
into_unlock_envs_sound
Δ
1
Δ
2
:
IntoUnlockEnvs
Δ
1
Δ
2
→
of_envs
Δ
1
⊢
U
(
of_envs
Δ
2
).
Proof
.
intros
[
Hp
Hs
]
;
rewrite
/
of_envs
/=
-!
U_multiplicative
.
repeat
apply
uPred
.
sep_mono
;
try
apply
uPred
.
persistently_mono
.
-
rewrite
-
U_intro
.
apply
uPred
.
pure_mono
.
apply
Hs
.
-
rewrite
-
U_intro
.
by
rewrite
Hp
.
-
by
apply
into_unlock_env_sound
.
Qed
.
Lemma
tac_unlock
Δ
Δ
'
Q
Q'
:
FromUnlock
Q
Q'
→
IntoUnlockEnvs
Δ
Δ
'
→
envs_entails
Δ
'
Q'
→
envs_entails
Δ
Q
.
Proof
.
rewrite
/
envs_entails
=>
Hf
?
HQ
.
rewrite
into_unlock_envs_sound
.
rewrite
/
FromUnlock
in
Hf
.
rewrite
-
Hf
.
by
apply
U_mono
.
Qed
.
End
classes
.
Tactic
Notation
"iUnlock"
:
=
iStartProof
;
let
P
:
=
match
goal
with
|-
envs_entails
_
?P
=>
P
end
in
eapply
tac_unlock
;
[
apply
_
||
fail
"iUnlock:"
P
"does not contain U"
|
apply
_
|
lazy
beta
(* remove beta redexes caused by removing laters under binders*)
].
theories/tests/test1.v
View file @
2abfd22c
From
iris
.
heap_lang
Require
Export
proofmode
notation
.
From
iris
.
heap_lang
Require
Import
spin_lock
assert
par
.
From
iris
.
algebra
Require
Import
frac
auth
.
From
iris
.
base_logic
.
lib
Require
Import
fractional
.
From
iris_c
.
lib
Require
Import
locking_heap
mset
flock
U
.
From
iris_c
.
c_translation
Require
Import
monad
lifting
proofmode
translation
.
Section
test
.
Context
`
{
locking_heapG
Σ
,
heapG
Σ
,
flockG
Σ
,
spawnG
Σ
}.
...
...
@@ -16,7 +14,7 @@ Section test.
iIntros
"Hl"
.
iApply
awp_bind
.
iApply
a_seq_spec
.
i
Unlock
.
i
ModIntro
.
awp_lam
.
iApply
(
a_load_spec
with
"Hl"
).
iIntros
"Hl"
.
eauto
.
Qed
.
...
...
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