Skip to content
Projects
Groups
Snippets
Help
Loading...
Help
Support
Keyboard shortcuts
?
Submit feedback
Contribute to GitLab
Sign in / Register
Toggle navigation
I
Iris
Project overview
Project overview
Details
Activity
Releases
Repository
Repository
Files
Commits
Branches
Tags
Contributors
Graph
Compare
Issues
90
Issues
90
List
Boards
Labels
Milestones
Merge Requests
8
Merge Requests
8
CI / CD
CI / CD
Pipelines
Jobs
Schedules
Analytics
Analytics
CI / CD
Repository
Value Stream
Wiki
Wiki
Members
Members
Collapse sidebar
Close sidebar
Activity
Graph
Create a new issue
Jobs
Commits
Issue Boards
Open sidebar
Iris
Iris
Commits
ab9f921d
Commit
ab9f921d
authored
Feb 25, 2016
by
Ralf Jung
Browse files
Options
Browse Files
Download
Email Patches
Plain Diff
improve f_equiv and solve_proper; use them in a few more places
parent
c64b9a55
Changes
3
Hide whitespace changes
Inline
Sidebyside
Showing
3 changed files
with
21 additions
and
12 deletions
+21
12
prelude/tactics.v
prelude/tactics.v
+14
3
program_logic/auth.v
program_logic/auth.v
+1
1
program_logic/sts.v
program_logic/sts.v
+6
8
No files found.
prelude/tactics.v
View file @
ab9f921d
...
...
@@ 257,22 +257,28 @@ Ltac f_equiv :=
let
H
:
=
fresh
"Proper"
in
assert
(
Proper
(
R
==>
R
==>
R
)
f
)
as
H
by
(
eapply
_
)
;
apply
H
;
clear
H
;
f_equiv
(* Next, try to infer the relation *)
(* Next, try to infer the relation. Unfortunately, there is an instance
of Proper for (eq ==> _), which will always be matched. *)
(* TODO: Can we exclude that instance? *)
(* TODO: If some of the arguments are the same, we could also
query for "pointwise_relation"'s. But that leads to a combinatorial
explosion about which arguments are and which are not the same. *)


?R
(
?f
?x
)
(
?f
_
)
=>
let
R1
:
=
fresh
"R"
in
let
H
:
=
fresh
"
Proper
"
in
let
R1
:
=
fresh
"R"
in
let
H
:
=
fresh
"
HProp
"
in
let
T
:
=
type
of
x
in
evar
(
R1
:
relation
T
)
;
assert
(
Proper
(
R1
==>
R
)
f
)
as
H
by
(
subst
R1
;
eapply
_
)
;
subst
R1
;
apply
H
;
clear
H
;
f_equiv


?R
(
?f
?x
?y
)
(
?f
_
_
)
=>
let
R1
:
=
fresh
"R"
in
let
R2
:
=
fresh
"R"
in
let
H
:
=
fresh
"
Proper
"
in
let
H
:
=
fresh
"
HProp
"
in
let
T1
:
=
type
of
x
in
evar
(
R1
:
relation
T1
)
;
let
T2
:
=
type
of
y
in
evar
(
R2
:
relation
T2
)
;
assert
(
Proper
(
R1
==>
R2
==>
R
)
f
)
as
H
by
(
subst
R1
R2
;
eapply
_
)
;
subst
R1
R2
;
apply
H
;
clear
H
;
f_equiv
(* In case the function symbol differs, but the arguments are the same,
maybe we have a pointwise_relation in our context. *)

H
:
pointwise_relation
_
?R
?f
?g

?R
(
?f
?x
)
(
?g
?x
)
=>
apply
H
;
f_equiv
end

idtac
(* Let the user solve this goal *)
].
...
...
@@ 289,6 +295,10 @@ Ltac solve_proper :=
end
;
(* Unfold the head symbol, which is the one we are proving a new property about *)
lazymatch
goal
with


?R
(
?f
_
_
_
_
_
_
_
_
)
(
?f
_
_
_
_
_
_
_
_
)
=>
unfold
f


?R
(
?f
_
_
_
_
_
_
_
)
(
?f
_
_
_
_
_
_
_
)
=>
unfold
f


?R
(
?f
_
_
_
_
_
_
)
(
?f
_
_
_
_
_
_
)
=>
unfold
f


?R
(
?f
_
_
_
_
_
)
(
?f
_
_
_
_
_
)
=>
unfold
f


?R
(
?f
_
_
_
_
)
(
?f
_
_
_
_
)
=>
unfold
f


?R
(
?f
_
_
_
)
(
?f
_
_
_
)
=>
unfold
f


?R
(
?f
_
_
)
(
?f
_
_
)
=>
unfold
f
...
...
@@ 296,6 +306,7 @@ Ltac solve_proper :=
end
;
solve
[
f_equiv
].
(** Given a tactic [tac2] generating a list of terms, [iter tac1 tac2]
runs [tac x] for each element [x] until [tac x] succeeds. If it does not
suceed for any element of the generated list, the whole tactic wil fail. *)
...
...
program_logic/auth.v
View file @
ab9f921d
...
...
@@ 40,7 +40,7 @@ Section auth.
Implicit
Types
γ
:
gname
.
Global
Instance
auth_own_ne
n
γ
:
Proper
(
dist
n
==>
dist
n
)
(
auth_own
γ
).
Proof
.
by
rewrite
auth_own_eq
/
auth_own_def
=>
a
b
>
.
Qed
.
Proof
.
rewrite
auth_own_eq
;
solve_proper
.
Qed
.
Global
Instance
auth_own_proper
γ
:
Proper
((
≡
)
==>
(
≡
))
(
auth_own
γ
).
Proof
.
by
rewrite
auth_own_eq
/
auth_own_def
=>
a
b
>.
Qed
.
Global
Instance
auth_own_timeless
γ
a
:
TimelessP
(
auth_own
γ
a
).
...
...
program_logic/sts.v
View file @
ab9f921d
...
...
@@ 52,22 +52,20 @@ Section sts.
(** Setoids *)
Global
Instance
sts_inv_ne
n
γ
:
Proper
(
pointwise_relation
_
(
dist
n
)
==>
dist
n
)
(
sts_inv
γ
).
Proof
.
by
intros
φ
1
φ
2
H
φ
;
rewrite
/
sts_inv
;
setoid_rewrite
H
φ
.
Qed
.
Proof
.
solve_proper
.
Qed
.
Global
Instance
sts_inv_proper
γ
:
Proper
(
pointwise_relation
_
(
≡
)
==>
(
≡
))
(
sts_inv
γ
).
Proof
.
by
intros
φ
1
φ
2
H
φ
;
rewrite
/
sts_inv
;
setoid_rewrite
H
φ
.
Qed
.
Proof
.
solve_proper
.
Qed
.
Global
Instance
sts_ownS_proper
γ
:
Proper
((
≡
)
==>
(
≡
)
==>
(
≡
))
(
sts_ownS
γ
).
Proof
.
intros
S1
S2
HS
T1
T2
HT
.
by
rewrite
!
sts_ownS_eq
/
sts_ownS_def
HS
HT
.
Qed
.
Proof
.
rewrite
sts_ownS_eq
.
solve_proper
.
Qed
.
Global
Instance
sts_own_proper
γ
s
:
Proper
((
≡
)
==>
(
≡
))
(
sts_own
γ
s
).
Proof
.
intros
T1
T2
HT
.
by
rewrite
!
sts_own_eq
/
sts_own_def
HT
.
Qed
.
Proof
.
rewrite
sts_own_eq
.
solve_proper
.
Qed
.
Global
Instance
sts_ctx_ne
n
γ
N
:
Proper
(
pointwise_relation
_
(
dist
n
)
==>
dist
n
)
(
sts_ctx
γ
N
).
Proof
.
by
intros
φ
1
φ
2
H
φ
;
rewrite
/
sts_ctx
H
φ
.
Qed
.
Proof
.
solve_proper
.
Qed
.
Global
Instance
sts_ctx_proper
γ
N
:
Proper
(
pointwise_relation
_
(
≡
)
==>
(
≡
))
(
sts_ctx
γ
N
).
Proof
.
by
intros
φ
1
φ
2
H
φ
;
rewrite
/
sts_ctx
H
φ
.
Qed
.
Proof
.
solve_proper
.
Qed
.
(* The same rule as implication does *not* hold, as could be shown using
sts_frag_included. *)
...
...
Write
Preview
Markdown
is supported
0%
Try again
or
attach a new file
Attach a file
Cancel
You are about to add
0
people
to the discussion. Proceed with caution.
Finish editing this message first!
Cancel
Please
register
or
sign in
to comment