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David Swasey
coqstdpp
Commits
7040c040
Commit
7040c040
authored
Aug 22, 2014
by
Robbert Krebbers
Browse files
Make simplify_error_equality a bit faster.
It is still rather slow, though.
parent
d4da6f17
Changes
1
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Inline
Sidebyside
theories/error.v
View file @
7040c040
...
...
@@ 16,6 +16,16 @@ Notation "'guard' P 'with' e ; o" := (error_guard P e (λ _, o))
Definition
error_of_option
{
A
E
}
(
x
:
option
A
)
(
e
:
E
)
:
sum
E
A
:
=
match
x
with
Some
a
=>
inr
a

None
=>
inl
e
end
.
Lemma
bind_inr
{
A
B
E
}
(
f
:
A
→
E
+
B
)
x
b
:
x
≫
=
f
=
inr
b
↔
∃
a
,
x
=
inr
a
∧
f
a
=
inr
b
.
Proof
.
destruct
x
;
naive_solver
.
Qed
.
Lemma
fmap_inr
{
A
B
E
}
(
f
:
A
→
B
)
(
x
:
E
+
A
)
b
:
f
<$>
x
=
inr
b
↔
∃
a
,
x
=
inr
a
∧
f
a
=
b
.
Proof
.
destruct
x
;
naive_solver
.
Qed
.
Lemma
error_of_option_inr
{
A
E
}
(
o
:
option
A
)
(
e
:
E
)
a
:
error_of_option
o
e
=
inr
a
↔
o
=
Some
a
.
Proof
.
destruct
o
;
naive_solver
.
Qed
.
Tactic
Notation
"case_error_guard"
"as"
ident
(
Hx
)
:
=
match
goal
with

H
:
context
C
[@
error_guard
_
?P
?dec
_
?e
?x
]

_
=>
...
...
@@ 31,33 +41,18 @@ Tactic Notation "case_error_guard" :=
Tactic
Notation
"simplify_error_equality"
:
=
repeat
match
goal
with

_
=>
progress
simplify_equality'

H
:
error_of_option
?o
?e
=
?x

_
=>
match
o
with
Some
_
=>
fail
1

None
=>
fail
1

_
=>
idtac
end
;
match
x
with
inr
_
=>
idtac

inl
_
=>
idtac

_
=>
fail
1
end
;
let
y
:
=
fresh
in
destruct
o
as
[
y
]
eqn
:
?
;
[
change
(
inr
y
=
x
)
in
H

change
(
inl
e
=
x
)
in
H
]

H
:
error_of_option
?o
?e
=
?x

_
=>
apply
error_of_option_inr
in
H

H
:
mbind
(
M
:
=
sum
_
)
?f
?o
=
?x

_
=>
match
o
with
inr
_
=>
fail
1

inl
_
=>
fail
1

_
=>
idtac
end
;
match
x
with
inr
_
=>
idtac

inl
_
=>
idtac

_
=>
fail
1
end
;
let
e
:
=
fresh
in
let
y
:
=
fresh
in
destruct
o
as
[
e

y
]
eqn
:
?
;
[
change
(
inl
e
=
x
)
in
H

change
(
f
y
=
x
)
in
H
]

H
:
?x
=
mbind
(
M
:
=
sum
_
)
?f
?o

_
=>
match
o
with
inr
_
=>
fail
1

inl
_
=>
fail
1

_
=>
idtac
end
;
match
x
with
inr
_
=>
idtac

inl
_
=>
idtac

_
=>
fail
1
end
;
let
e
:
=
fresh
in
let
y
:
=
fresh
in
destruct
o
as
[
e

y
]
eqn
:
?
;
[
change
(
inl
e
=
x
)
in
H

change
(
f
y
=
x
)
in
H
]
apply
bind_inr
in
H
;
destruct
H
as
(?&?&?)

H
:
fmap
(
M
:
=
sum
_
)
?f
?o
=
?x

_
=>
match
o
with
inr
_
=>
fail
1

inl
_
=>
fail
1

_
=>
idtac
end
;
match
x
with
inr
_
=>
idtac

inl
_
=>
idtac

_
=>
fail
1
end
;
let
e
:
=
fresh
in
let
y
:
=
fresh
in
destruct
o
as
[
e

y
]
eqn
:
?
;
[
change
(
inl
e
=
x
)
in
H

change
(
inr
(
f
y
)
=
x
)
in
H
]

H
:
?x
=
fmap
(
M
:
=
sum
_
)
?f
?o

_
=>
match
o
with
inr
_
=>
fail
1

inl
_
=>
fail
1

_
=>
idtac
end
;
match
x
with
inr
_
=>
idtac

inl
_
=>
idtac

_
=>
fail
1
end
;
let
e
:
=
fresh
in
let
y
:
=
fresh
in
destruct
o
as
[
e

y
]
eqn
:
?
;
[
change
(
inl
e
=
x
)
in
H

change
(
inr
(
f
y
)
=
x
)
in
H
]
apply
fmap_inr
in
H
;
destruct
H
as
(?&?&?)

H
:
mbind
(
M
:
=
option
)
?f
?o
=
?x

_
=>
apply
bind_Some
in
H
;
destruct
H
as
(?&?&?)

H
:
fmap
(
M
:
=
option
)
?f
?o
=
?x

_
=>
apply
fmap_Some
in
H
;
destruct
H
as
(?&?&?)

_
=>
progress
case_decide

_
=>
progress
case_error_guard

_
=>
progress
case_option_guard
end
.
Section
mapM
.
...
...
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