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Fairis
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677c3e3a
Commit
677c3e3a
authored
May 04, 2016
by
Robbert Krebbers
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Add iInv N as {x1 .. xn} "pat".
parent
ab19e50e
Changes
3
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Showing
3 changed files
with
40 additions
and
12 deletions
+40
12
heap_lang/lib/lock.v
heap_lang/lib/lock.v
+2
3
heap_lang/lib/spawn.v
heap_lang/lib/spawn.v
+2
3
proofmode/invariants.v
proofmode/invariants.v
+36
6
No files found.
heap_lang/lib/lock.v
View file @
677c3e3a
...
...
@@ 66,7 +66,7 @@ Lemma acquire_spec l R (Φ : val → iProp) :
Proof
.
iIntros
"[Hl HΦ]"
.
iDestruct
"Hl"
as
{
N
γ
}
"(%&#?&#?)"
.
iL
ö
b
as
"IH"
.
wp_rec
.
wp_focus
(
CAS
_
_
_
)
%
E
.
iInv
N
as
"Hinv"
.
iDestruct
"Hinv"
as
{
[]
}
"[Hl HR]"
.
iInv
N
as
{
[]
}
"[Hl HR]"
.

wp_cas_fail
.
iSplitL
"Hl"
.
+
iNext
.
iExists
true
.
by
iSplit
.
+
wp_if
.
by
iApply
"IH"
.
...
...
@@ 79,8 +79,7 @@ Lemma release_spec R l (Φ : val → iProp) :
(
locked
l
R
★
R
★
Φ
#())
⊢
WP
release
#
l
{{
Φ
}}
.
Proof
.
iIntros
"(Hl&HR&HΦ)"
;
iDestruct
"Hl"
as
{
N
γ
}
"(% & #? & #? & Hγ)"
.
rewrite
/
release
.
wp_let
.
iInv
N
as
"Hinv"
.
iDestruct
"Hinv"
as
{
b
}
"[Hl _]"
.
rewrite
/
release
.
wp_let
.
iInv
N
as
{
b
}
"[Hl _]"
.
wp_store
.
iFrame
"HΦ"
.
iNext
.
iExists
false
.
by
iFrame
"Hl HR Hγ"
.
Qed
.
End
proof
.
heap_lang/lib/spawn.v
View file @
677c3e3a
...
...
@@ 65,7 +65,7 @@ Proof.

wp_seq
.
iPvsIntro
.
iApply
"HΦ"
;
rewrite
/
join_handle
.
iSplit
;
first
done
.
iExists
γ
.
iFrame
"Hγ"
;
by
iSplit
.

wp_focus
(
f
_
).
iApply
wp_wand_l
;
iFrame
"Hf"
;
iIntros
{
v
}
"Hv"
.
iInv
N
as
"Hinv"
;
first
wp_done
;
iDestruct
"Hinv"
as
{
v
'
}
"[Hl _]"
.
iInv
N
as
{
v
'
}
"[Hl _]"
;
first
wp_done
.
wp_store
.
iSplit
;
[
iNext

done
].
iExists
(
InjRV
v
);
iFrame
"Hl"
;
iRight
;
iExists
v
;
iSplit
;
[
done

by
iLeft
].
Qed
.
...
...
@@ 74,8 +74,7 @@ Lemma join_spec (Ψ : val → iProp) l (Φ : val → iProp) :
(
join_handle
l
Ψ
★
∀
v
,
Ψ
v

★
Φ
v
)
⊢
WP
join
#
l
{{
Φ
}}
.
Proof
.
rewrite
/
join_handle
;
iIntros
"[[% H] Hv]"
;
iDestruct
"H"
as
{
γ
}
"(#?&Hγ&#?)"
.
iL
ö
b
as
"IH"
.
wp_rec
.
wp_focus
(
!
_
)
%
E
.
iInv
N
as
"Hinv"
;
iDestruct
"Hinv"
as
{
v
}
"[Hl Hinv]"
.
iL
ö
b
as
"IH"
.
wp_rec
.
wp_focus
(
!
_
)
%
E
.
iInv
N
as
{
v
}
"[Hl Hinv]"
.
wp_load
.
iDestruct
"Hinv"
as
"[%Hinv]"
;
subst
.

iSplitL
"Hl"
;
[
iNext
;
iExists
_
;
iFrame
"Hl"
;
by
iLeft

].
wp_case
.
wp_seq
.
iApply
(
"IH"
with
"Hγ Hv"
).
...
...
proofmode/invariants.v
View file @
677c3e3a
...
...
@@ 30,8 +30,7 @@ Proof.
Qed
.
End
invariants
.
Tactic
Notation
"iInv"
constr
(
N
)
"as"
constr
(
pat
)
:=
let
H
:=
iFresh
in
Tactic
Notation
"iInvCore"
constr
(
N
)
"as"
constr
(
H
)
:=
eapply
tac_inv_fsa
with
_
_
_
_
N
H
_
_
;
[
let
P
:=
match
goal
with

FSASplit
?
P
_
_
_
_
=>
P
end
in
apply
_

fail
"iInv: cannot viewshift in goal"
P
...
...
@@ 39,10 +38,25 @@ Tactic Notation "iInv" constr(N) "as" constr(pat) :=

done

eauto
with
ndisj
(
*
[
eauto
with
ndisj
]
is
slow
*
)

iAssumption

fail
"iInv: invariant"
N
"not found"

env_cbv
;
reflexivity

simpl
(
*
get
rid
of
FSAs
*
)
;
iDestruct
H
as
pat
].

simpl
(
*
get
rid
of
FSAs
*
)].
Tactic
Notation
"iInv>"
constr
(
N
)
"as"
constr
(
pat
)
:=
let
H
:=
iFresh
in
Tactic
Notation
"iInv"
constr
(
N
)
"as"
constr
(
pat
)
:=
let
H
:=
iFresh
in
iInvCore
N
as
H
;
last
iDestruct
H
as
pat
.
Tactic
Notation
"iInv"
constr
(
N
)
"as"
"{"
simple_intropattern
(
x1
)
"}"
constr
(
pat
)
:=
let
H
:=
iFresh
in
iInvCore
N
as
H
;
last
iDestruct
H
as
{
x1
}
pat
.
Tactic
Notation
"iInv"
constr
(
N
)
"as"
"{"
simple_intropattern
(
x1
)
simple_intropattern
(
x2
)
"}"
constr
(
pat
)
:=
let
H
:=
iFresh
in
iInvCore
N
as
H
;
last
iDestruct
H
as
{
x1
x2
}
pat
.
Tactic
Notation
"iInv"
constr
(
N
)
"as"
"{"
simple_intropattern
(
x1
)
simple_intropattern
(
x2
)
simple_intropattern
(
x3
)
"}"
constr
(
pat
)
:=
let
H
:=
iFresh
in
iInvCore
N
as
H
;
last
iDestruct
H
as
{
x1
x2
x3
}
pat
.
Tactic
Notation
"iInv"
constr
(
N
)
"as"
"{"
simple_intropattern
(
x1
)
simple_intropattern
(
x2
)
simple_intropattern
(
x3
)
simple_intropattern
(
x4
)
"}"
constr
(
pat
)
:=
let
H
:=
iFresh
in
iInvCore
N
as
H
;
last
iDestruct
H
as
{
x1
x2
x3
x4
}
pat
.
Tactic
Notation
"iInvCore>"
constr
(
N
)
"as"
constr
(
H
)
:=
eapply
tac_inv_fsa_timeless
with
_
_
_
_
N
H
_
_
;
[
let
P
:=
match
goal
with

FSASplit
?
P
_
_
_
_
=>
P
end
in
apply
_

fail
"iInv: cannot viewshift in goal"
P
...
...
@@ 52,4 +66,20 @@ Tactic Notation "iInv>" constr(N) "as" constr(pat) :=

let
P
:=
match
goal
with

TimelessP
?
P
=>
P
end
in
apply
_

fail
"iInv:"
P
"not timeless"

env_cbv
;
reflexivity

simpl
(
*
get
rid
of
FSAs
*
);
iDestruct
H
as
pat
].

simpl
(
*
get
rid
of
FSAs
*
)].
Tactic
Notation
"iInv>"
constr
(
N
)
"as"
constr
(
pat
)
:=
let
H
:=
iFresh
in
iInvCore
>
N
as
H
;
last
iDestruct
H
as
pat
.
Tactic
Notation
"iInv>"
constr
(
N
)
"as"
"{"
simple_intropattern
(
x1
)
"}"
constr
(
pat
)
:=
let
H
:=
iFresh
in
iInvCore
>
N
as
H
;
last
iDestruct
H
as
{
x1
}
pat
.
Tactic
Notation
"iInv>"
constr
(
N
)
"as"
"{"
simple_intropattern
(
x1
)
simple_intropattern
(
x2
)
"}"
constr
(
pat
)
:=
let
H
:=
iFresh
in
iInvCore
>
N
as
H
;
last
iDestruct
H
as
{
x1
x2
}
pat
.
Tactic
Notation
"iInv>"
constr
(
N
)
"as"
"{"
simple_intropattern
(
x1
)
simple_intropattern
(
x2
)
simple_intropattern
(
x3
)
"}"
constr
(
pat
)
:=
let
H
:=
iFresh
in
iInvCore
>
N
as
H
;
last
iDestruct
H
as
{
x1
x2
x3
}
pat
.
Tactic
Notation
"iInv>"
constr
(
N
)
"as"
"{"
simple_intropattern
(
x1
)
simple_intropattern
(
x2
)
simple_intropattern
(
x3
)
simple_intropattern
(
x4
)
"}"
constr
(
pat
)
:=
let
H
:=
iFresh
in
iInvCore
>
N
as
H
;
last
iDestruct
H
as
{
x1
x2
x3
x4
}
pat
.
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