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eacc2cf9
Commit
eacc2cf9
authored
Jan 11, 2019
by
Robbert Krebbers
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Plain Diff
Fix issue #206.
parent
e76659e6
Changes
4
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4 changed files
with
71 additions
and
39 deletions
+71
39
opam
opam
+1
1
tests/proofmode.v
tests/proofmode.v
+12
0
theories/proofmode/coq_tactics.v
theories/proofmode/coq_tactics.v
+6
4
theories/proofmode/ltac_tactics.v
theories/proofmode/ltac_tactics.v
+52
34
No files found.
opam
View file @
eacc2cf9
...
...
@@ 11,5 +11,5 @@ install: [make "install"]
remove: ["rm" "rf" "%{lib}%/coq/usercontrib/iris"]
depends: [
"coq" { (>= "8.7.1" & < "8.10~")  (= "dev") }
"coqstdpp" { (= "dev.201
81212.0.9cbafb67
")  (= "dev") }
"coqstdpp" { (= "dev.201
90113.0.48758ab8
")  (= "dev") }
]
tests/proofmode.v
View file @
eacc2cf9
...
...
@@ 60,6 +60,18 @@ Proof. iIntros "[#? _] [_ #?]". Show. auto. Qed.
Lemma
test_iIntros_persistent
P
Q
`
{!
Persistent
Q
}
:
(
P
→
Q
→
P
∧
Q
)%
I
.
Proof
.
iIntros
"H1 #H2"
.
by
iFrame
"∗#"
.
Qed
.
Lemma
test_iDestruct_intuitionistic_1
P
Q
`
{!
Persistent
P
}
:
Q
∗
□
(
Q

∗
P
)

∗
P
∗
Q
.
Proof
.
iIntros
"[HQ #HQP]"
.
iDestruct
(
"HQP"
with
"HQ"
)
as
"#HP"
.
by
iFrame
.
Qed
.
Lemma
test_iDestruct_intuitionistic_2
P
Q
`
{!
Persistent
P
,
!
Affine
P
}
:
Q
∗
(
Q

∗
P
)

∗
P
.
Proof
.
iIntros
"[HQ HQP]"
.
iDestruct
(
"HQP"
with
"HQ"
)
as
"#HP"
.
done
.
Qed
.
Lemma
test_iDestruct_intuitionistic_affine_bi
`
{
BiAffine
PROP
}
P
Q
`
{!
Persistent
P
}
:
Q
∗
(
Q

∗
P
)

∗
P
∗
Q
.
Proof
.
iIntros
"[HQ HQP]"
.
iDestruct
(
"HQP"
with
"HQ"
)
as
"#HP"
.
by
iFrame
.
Qed
.
Lemma
test_iIntros_pure
(
ψ
φ
:
Prop
)
P
:
ψ
→
(
⌜
φ
⌝
→
P
→
⌜
φ
∧
ψ
⌝
∧
P
)%
I
.
Proof
.
iIntros
(??)
"H"
.
auto
.
Qed
.
...
...
theories/proofmode/coq_tactics.v
View file @
eacc2cf9
...
...
@@ 311,18 +311,20 @@ Qed.
Lemma
tac_specialize_intuitionistic_helper
Δ
Δ
''
j
q
P
R
R'
Q
:
envs_lookup
j
Δ
=
Some
(
q
,
P
)
→
(
if
q
then
TCTrue
else
BiAffine
PROP
)
→
envs_entails
Δ
(<
absorb
>
R
)
→
IntoPersistent
false
R
R'
→
(
if
q
then
TCTrue
else
BiAffine
PROP
)
→
envs_replace
j
q
true
(
Esnoc
Enil
j
R'
)
Δ
=
Some
Δ
''
→
envs_entails
Δ
''
Q
→
envs_entails
Δ
Q
.
Proof
.
rewrite
envs_entails_eq
=>
?
HR
?
Hpos
?
<.
rewrite
(
idemp
bi_and
(
of_envs
Δ
))
{
1
}
HR
.
rewrite
envs_entails_eq
=>
?
?
HR
?
?
<.
rewrite
(
idemp
bi_and
(
of_envs
Δ
))
{
1
}
HR
.
rewrite
envs_replace_singleton_sound
//
;
destruct
q
;
simpl
.

by
rewrite
(
_
:
R
=
<
pers
>
?false
R
)%
I
//
(
into_persistent
_
R
)
absorbingly_elim_persistently
sep_elim_r
persistently_and_intuitionistically_sep_l
wand_elim_r
.
absorbingly_elim_persistently
sep_elim_r
persistently_and_intuitionistically_sep_l
wand_elim_r
.

by
rewrite
(
absorbing_absorbingly
R
)
(
_
:
R
=
<
pers
>
?false
R
)%
I
//
(
into_persistent
_
R
)
sep_elim_r
persistently_and_intuitionistically_sep_l
wand_elim_r
.
(
into_persistent
_
R
)
sep_elim_r
persistently_and_intuitionistically_sep_l
wand_elim_r
.
Qed
.
(* A special version of [tac_assumption] that does not do any of the
...
...
theories/proofmode/ltac_tactics.v
View file @
eacc2cf9
...
...
@@ 862,40 +862,58 @@ Tactic Notation "iSpecializeCore" open_constr(H)

_
=>
H
end
in
iSpecializeArgs
H
xs
;
[..
lazymatch
type
of
H
with

ident
=>
(* The lemma [tac_specialize_intuitionistic_helper] allows one to use all
spatial hypotheses for both proving the premises of the lemma we
specialize as well as those of the remaining goal. We can only use it when
the result of the specialization is intuitionistic, and no modality is
eliminated. We do not use [tac_specialize_intuitionistic_helper] in the case
only universal quantifiers and no implications or wands are instantiated
(i.e [pat = []]) because it is a.) not needed, and b.) more efficient. *)
let
pat
:
=
spec_pat
.
parse
pat
in
lazymatch
eval
compute
in
(
p
&&
bool_decide
(
pat
≠
[])
&&
negb
(
existsb
spec_pat_modal
pat
))
with

true
=>
(* FIXME: do something reasonable when the BI is not affine *)
notypeclasses
refine
(
tac_specialize_intuitionistic_helper
_
_
H
_
_
_
_
_
_
_
_
_
_
_
)
;
[
pm_reflexivity

let
H
:
=
pretty_ident
H
in
fail
"iSpecialize:"
H
"not found"

iSpecializePat
H
pat
;
[..

notypeclasses
refine
(
tac_specialize_intuitionistic_helper_done
_
H
_
_
_
)
;
pm_reflexivity
]

iSolveTC

let
Q
:
=
match
goal
with

IntoPersistent
_
?Q
_
=>
Q
end
in
fail
"iSpecialize:"
Q
"not persistent"

pm_reduce
;
iSolveTC

let
Q
:
=
match
goal
with

TCAnd
_
(
Affine
?Q
)
=>
Q
end
in
fail
"iSpecialize:"
Q
"not affine"

pm_reflexivity

(* goal *)
]

false
=>
iSpecializePat
H
pat
end

_
=>
fail
"iSpecialize:"
H
"should be a hypothesis, use iPoseProof instead"
end
].
lazymatch
type
of
H
with

ident
=>
(* The lemma [tac_specialize_intuitionistic_helper] allows one to use the
whole spatial context for:
 proving the premises of the lemma we specialize, and,
 the remaining goal.
We can only use if all of the following properties hold:
 The result of the specialization is persistent.
 No modality is eliminated.
 If the BI is not affine, the hypothesis should be in the intuitionistic
context.
As an optimization, we do only use [tac_specialize_intuitionistic_helper]
if no implications nor wands are eliminated, i.e. [pat ≠ []]. *)
let
pat
:
=
spec_pat
.
parse
pat
in
lazymatch
eval
compute
in
(
p
&&
bool_decide
(
pat
≠
[])
&&
negb
(
existsb
spec_pat_modal
pat
))
with

true
=>
(* Check that if the BI is not affine, the hypothesis is in the
intuitionistic context. *)
lazymatch
iTypeOf
H
with

Some
(
?q
,
_
)
=>
let
PROP
:
=
iBiOfGoal
in
lazymatch
eval
compute
in
(
q

tc_to_bool
(
BiAffine
PROP
))
with

true
=>
notypeclasses
refine
(
tac_specialize_intuitionistic_helper
_
_
H
_
_
_
_
_
_
_
_
_
_
_
)
;
[
pm_reflexivity
(* This premise, [envs_lookup j Δ = Some (q,P)],
holds because [iTypeOf] succeeded *)

pm_reduce
;
iSolveTC
(* This premise, [if q then TCTrue else BiAffine PROP],
holds because [q  TC_to_bool (BiAffine PROP)] is true *)

iSpecializePat
H
pat
;
[..

notypeclasses
refine
(
tac_specialize_intuitionistic_helper_done
_
H
_
_
_
)
;
pm_reflexivity
]

iSolveTC

let
Q
:
=
match
goal
with

IntoPersistent
_
?Q
_
=>
Q
end
in
fail
"iSpecialize:"
Q
"not persistent"

pm_reflexivity

(* goal *)
]

false
=>
iSpecializePat
H
pat
end

None
=>
let
H
:
=
pretty_ident
H
in
fail
"iSpecialize:"
H
"not found"
end

false
=>
iSpecializePat
H
pat
end

_
=>
fail
"iSpecialize:"
H
"should be a hypothesis, use iPoseProof instead"
end
].
Tactic
Notation
"iSpecializeCore"
open_constr
(
t
)
"as"
constr
(
p
)
:
=
lazymatch
type
of
t
with
...
...
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