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Tej Chajed
iris
Commits
d633ec42
Commit
d633ec42
authored
Jan 29, 2016
by
Ralf Jung
Browse files
rename physical state lifting lemmas
parent
155a869b
Changes
2
Hide whitespace changes
Inline
Side-by-side
barrier/lifting.v
View file @
d633ec42
...
...
@@ -11,7 +11,9 @@ Proof.
by
apply
(
wp_bind
(
Σ
:
=
Σ
)
(
K
:
=
fill
K
)),
fill_is_ctx
.
Qed
.
(** Base axioms for core primitives of the language: Stateful reductions *)
(** Base axioms for core primitives of the language: Stateful reductions.
These are the lemmas basd on the physical state; we will derive versions
based on a ghost "mapsto"-predicate later. *)
Lemma
wp_lift_step
E1
E2
(
φ
:
expr
→
state
→
Prop
)
Q
e1
σ
1
:
E1
⊆
E2
→
to_val
e1
=
None
→
...
...
@@ -43,7 +45,7 @@ Qed.
(* TODO RJ: Figure out some better way to make the
postcondition a predicate over a *location* *)
Lemma
wp_alloc
E
σ
e
v
:
Lemma
wp_alloc
_pst
E
σ
e
v
:
e2v
e
=
Some
v
→
ownP
(
Σ
:
=
Σ
)
σ
⊑
wp
(
Σ
:
=
Σ
)
E
(
Alloc
e
)
(
λ
v'
,
∃
l
,
■
(
v'
=
LocV
l
∧
σ
!!
l
=
None
)
∧
ownP
(
Σ
:
=
Σ
)
(<[
l
:
=
v
]>
σ
)).
...
...
@@ -72,7 +74,7 @@ Proof.
+
done
.
Qed
.
Lemma
wp_load
E
σ
l
v
:
Lemma
wp_load
_pst
E
σ
l
v
:
σ
!!
l
=
Some
v
→
ownP
(
Σ
:
=
Σ
)
σ
⊑
wp
(
Σ
:
=
Σ
)
E
(
Load
(
Loc
l
))
(
λ
v'
,
■
(
v'
=
v
)
∧
ownP
(
Σ
:
=
Σ
)
σ
).
Proof
.
...
...
@@ -93,7 +95,7 @@ Proof.
+
done
.
Qed
.
Lemma
wp_store
E
σ
l
e
v
v'
:
Lemma
wp_store
_pst
E
σ
l
e
v
v'
:
e2v
e
=
Some
v
→
σ
!!
l
=
Some
v'
→
ownP
(
Σ
:
=
Σ
)
σ
⊑
wp
(
Σ
:
=
Σ
)
E
(
Store
(
Loc
l
)
e
)
...
...
barrier/tests.v
View file @
d633ec42
...
...
@@ -38,23 +38,23 @@ Module LiftingTests.
Proof
.
move
=>
σ
E
.
rewrite
/
e
.
rewrite
-(
wp_bind
_
_
(
LetCtx
EmptyCtx
e2
)).
rewrite
-
wp_mono
.
{
eapply
wp_alloc
;
done
.
}
{
eapply
wp_alloc
_pst
;
done
.
}
move
=>
v
;
apply
exist_elim
=>
l
.
apply
const_elim_l
;
move
=>[->
_
]
{
v
}.
rewrite
-
wp_lam
-
later_intro
.
asimpl
.
rewrite
-(
wp_bind
_
_
(
SeqCtx
(
StoreRCtx
(
LocV
_
)
(
PlusLCtx
EmptyCtx
_
))
(
Load
(
Loc
_
)))).
rewrite
-
wp_mono
.
{
eapply
wp_load
.
apply
:
lookup_insert
.
}
(* RJ TODO: figure out why apply and eapply fail. *)
{
eapply
wp_load
_pst
.
apply
:
lookup_insert
.
}
(* RJ TODO: figure out why apply and eapply fail. *)
move
=>
v
;
apply
const_elim_l
;
move
=>->
{
v
}.
rewrite
-(
wp_bind
_
_
(
SeqCtx
(
StoreRCtx
(
LocV
_
)
EmptyCtx
)
(
Load
(
Loc
_
)))).
rewrite
-
wp_plus
-
later_intro
.
rewrite
-(
wp_bind
_
_
(
SeqCtx
EmptyCtx
(
Load
(
Loc
_
)))).
rewrite
-
wp_mono
.
{
eapply
wp_store
;
first
reflexivity
.
apply
:
lookup_insert
.
}
{
eapply
wp_store
_pst
;
first
reflexivity
.
apply
:
lookup_insert
.
}
move
=>
v
;
apply
const_elim_l
;
move
=>->
{
v
}.
rewrite
-
wp_lam
-
later_intro
.
asimpl
.
rewrite
-
wp_mono
.
{
eapply
wp_load
.
apply
:
lookup_insert
.
}
{
eapply
wp_load
_pst
.
apply
:
lookup_insert
.
}
move
=>
v
;
apply
const_elim_l
;
move
=>->
{
v
}.
by
apply
const_intro
.
Qed
.
...
...
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