Module Qcert.Data.Model.DData
Require
Import
String
.
Require
Import
List
.
Require
Import
Sumbool
.
Require
Import
ZArith
.
Require
Import
Bool
.
Require
Import
EquivDec
.
Require
Import
Utils
.
Require
Import
BrandRelation
.
Require
Import
ForeignData
.
Require
Import
Data
.
Section
DData
.
Localized Data is: - Dlocal - single, non-distributed value - Ddistr - distributed collection of values
Unset
Elimination
Schemes
.
Context
{
fdata
:
foreign_data
}.
Inductive
ddata
:=
|
Dlocal
:
data
->
ddata
|
Ddistr
:
list
data
->
ddata
.
Lemma
ddata_eq_dec
:
EqDec
ddata
eq
.
Proof.
repeat
red
.
intros
.
destruct
x
;
destruct
y
.
-
destruct
(
data_eq_dec
d
d0
).
+
left
;
rewrite
e
;
reflexivity
.
+
right
;
congruence
.
-
right
;
congruence
.
-
right
;
congruence
.
-
revert
l0
;
induction
l
;
destruct
l0
.
+
left
;
reflexivity
.
+
right
;
congruence
.
+
right
;
congruence
.
+
destruct
(
data_eq_dec
a
d
).
rewrite
e
.
destruct
(
IHl
l0
).
inversion
e0
.
left
;
reflexivity
.
right
;
congruence
.
right
;
congruence
.
Defined.
Definition
checkLocal
(
ld
:
ddata
) :
option
data
:=
match
ld
with
|
Dlocal
d
=>
Some
d
|
Ddistr
_
=>
None
end
.
Definition
checkDistrAndCollect
(
ld
:
ddata
) :
option
data
:=
match
ld
with
|
Dlocal
_
=>
None
|
Ddistr
coll
=>
Some
(
dcoll
coll
)
end
.
Definition
unlocalize_data
(
dd
:
ddata
) :=
match
dd
with
|
Ddistr
coll
=>
dcoll
coll
|
Dlocal
d
=>
d
end
.
Lemma
unlocalize_distributed_id
(
l
:
list
data
) :
unlocalize_data
(
Ddistr
l
) =
dcoll
l
.
Proof.
reflexivity
.
Qed.
Definition
dbindings
:=
list
(
string
*
ddata
).
Inductive
dlocalization
:=
|
Vlocal
:
dlocalization
|
Vdistr
:
dlocalization
.
Definition
vdbindings
:=
list
(
string
*
dlocalization
).
Lemma
dlocalization_eq_dec
:
EqDec
dlocalization
eq
.
Proof.
repeat
red
.
intros
.
destruct
x
;
destruct
y
.
-
left
;
reflexivity
.
-
right
;
congruence
.
-
right
;
congruence
.
-
left
;
reflexivity
.
Defined.
End
DData
.