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3eb275ad
Commit
3eb275ad
authored
Aug 07, 2019
by
Ralf Jung
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add proof mode instances for array splitting
parent
fd74b574
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2
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-0
tests/heap_lang.v
tests/heap_lang.v
+6
-0
theories/heap_lang/array.v
theories/heap_lang/array.v
+19
-0
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tests/heap_lang.v
View file @
3eb275ad
...
...
@@ -155,6 +155,12 @@ Section tests.
by
iApply
"HΦ"
.
Qed
.
Lemma
test_array_app
l
vs1
vs2
:
l
↦∗
(
vs1
++
vs2
)
-
∗
l
↦∗
(
vs1
++
vs2
).
Proof
.
iIntros
"[H1 H2]"
.
iSplitL
"H1"
;
done
.
Qed
.
End
tests
.
Section
printing_tests
.
...
...
theories/heap_lang/array.v
View file @
3eb275ad
...
...
@@ -61,6 +61,25 @@ Proof.
rewrite
drop_insert
;
last
by
lia
.
done
.
Qed
.
(** Proofmode instances *)
Global
Instance
into_sep_array_cons
l
vs
v
vs'
:
IsCons
vs
v
vs'
→
IntoSep
(
l
↦∗
vs
)
(
l
↦
v
)
((
l
+
ₗ
1
)
↦∗
vs'
).
Proof
.
rewrite
/
IsCons
=>->.
by
rewrite
/
IntoSep
array_cons
.
Qed
.
Global
Instance
into_sep_array_app
l
vs
vs1
vs2
:
IsApp
vs
vs1
vs2
→
IntoSep
(
l
↦∗
vs
)
(
l
↦∗
vs1
)
((
l
+
ₗ
length
vs1
)
↦∗
vs2
).
Proof
.
rewrite
/
IsApp
=>->.
by
rewrite
/
IntoSep
array_app
.
Qed
.
Global
Instance
from_sep_array_cons
l
vs
v
vs'
:
IsCons
vs
v
vs'
→
FromSep
(
l
↦∗
vs
)
(
l
↦
v
)
((
l
+
ₗ
1
)
↦∗
vs'
).
Proof
.
rewrite
/
IsCons
=>
->.
by
rewrite
/
FromSep
array_cons
.
Qed
.
Global
Instance
from_sep_array_app
l
vs
vs1
vs2
:
IsApp
vs
vs1
vs2
→
FromSep
(
l
↦∗
vs
)
(
l
↦∗
vs1
)
((
l
+
ₗ
length
vs1
)
↦∗
vs2
).
Proof
.
rewrite
/
IsApp
=>
->.
by
rewrite
/
FromSep
array_app
.
Qed
.
(** Allocation *)
Lemma
mapsto_seq_array
l
v
n
:
([
∗
list
]
i
∈
seq
0
n
,
(
l
+
ₗ
(
i
:
nat
))
↦
v
)
-
∗
...
...
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