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Janno
iriscoq
Commits
c6f4eac5
Commit
c6f4eac5
authored
Oct 24, 2017
by
Robbert Krebbers
Browse files
Avoid exponential proof search due to Plain → Persistent instance.
parent
0722547a
Changes
1
Hide whitespace changes
Inline
Sidebyside
theories/base_logic/derived.v
View file @
c6f4eac5
...
...
@@ 960,7 +960,8 @@ Global Instance limit_preserving_Plain {A:ofeT} `{Cofe A} (Φ : A → uPred M) :
NonExpansive
Φ
→
LimitPreserving
(
λ
x
,
Plain
(
Φ
x
)).
Proof
.
intros
.
apply
limit_preserving_entails
;
solve_proper
.
Qed
.
Global
Instance
Plain_Persistent
P
:
Plain
P
→
Persistent
P
.
(* Not an instance, see the bottom of this file *)
Lemma
plain_persistent
P
:
Plain
P
→
Persistent
P
.
Proof
.
rewrite
/
Plain
/
Persistent
=>
HP
.
by
rewrite
{
1
}
HP
plainly_elim'
.
Qed
.
Lemma
plainly_plainly
P
`
{!
Plain
P
}
:
■
P
⊣
⊢
P
.
...
...
@@ 1061,6 +1062,8 @@ Proof.
rewrite
/
Persistent

impl_wand
pure_impl_forall
persistently_forall
.
auto
using
forall_mono
.
Qed
.
Global
Instance
plainly_persistent
P
:
Persistent
(
■
P
).
Proof
.
by
rewrite
/
Persistent
persistently_plainly
.
Qed
.
Global
Instance
persistently_persistent
P
:
Persistent
(
□
P
).
Proof
.
by
intros
;
apply
persistently_intro'
.
Qed
.
Global
Instance
and_persistent
P
Q
:
...
...
@@ 1165,3 +1168,12 @@ Global Instance uPred_ownM_sep_homomorphism :
Proof
.
split
;
[
split
;
try
apply
_
].
apply
ownM_op
.
apply
ownM_unit'
.
Qed
.
End
derived
.
End
uPred
.
(* When declared as an actual instance, [plain_persistent] will give cause
failing proof searches to take exponential time, as Coq will try to apply it
the instance at any node in the proof search tree.
To avoid that, we declare it using a [Hint Immediate], so that it will only be
used at the leaves of the proof search tree, i.e. when the premise of the hint
can be derived from just the current context. *)
Hint
Immediate
uPred
.
plain_persistent
:
typeclass_instances
.
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