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30758ade
Commit
30758ade
authored
Mar 05, 2016
by
Ralf Jung
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introduce "fast_done", a tactic that *quickly* tries to solve the goal
parent
68b961a8
Pipeline
#252
passed with stage
Changes
3
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1
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3 changed files
with
18 additions
and
12 deletions
+18
12
heap_lang/wp_tactics.v
heap_lang/wp_tactics.v
+7
7
prelude/collections.v
prelude/collections.v
+1
1
prelude/tactics.v
prelude/tactics.v
+10
4
No files found.
heap_lang/wp_tactics.v
View file @
30758ade
...
...
@@ 6,14 +6,14 @@ Import uPred.
Ltac
wp_bind
K
:
=
lazymatch
eval
hnf
in
K
with

[]
=>
idtac

_
=>
etrans
;
[
solve
[
apply
(
wp_bind
K
)
]
]
;
simpl

_
=>
etrans
;
[
fast_by
apply
(
wp_bind
K
)
]
;
simpl
end
.
Ltac
wp_finish
:
=
let
rec
go
:
=
match
goal
with


_
⊑
▷
_
=>
etrans
;
[
apply
later_mono
;
go
;
reflexivity
]


_
⊑
▷
_
=>
etrans
;
[
fast_by
apply
later_mono
;
go
]


_
⊑
wp
_
_
_
=>
etrans
;
[
eapply
wp_value_pvs
;
reflexivity
]
;
etrans
;
[
eapply
wp_value_pvs
;
fast_done
]
;
(* sometimes, we will have to do a final view shift, so only apply
pvs_intro if we obtain a consecutive wp *)
try
(
eapply
pvs_intro
;
...
...
@@ 31,7 +31,7 @@ Tactic Notation "wp_rec" ">" :=
(* hnf does not reduce through an of_val *)
(* match eval hnf in e1 with Rec _ _ _ => *)
wp_bind
K
;
etrans
;
[
eapply
wp_rec'
;
repeat
rewrite
/=
to_of_val
;
reflexivity
]
;
[
eapply
wp_rec'
;
repeat
rewrite
/=
to_of_val
;
fast_done
]
;
simpl_subst
;
wp_finish
(* end *)
end
)
end
).
...
...
@@ 43,7 +43,7 @@ Tactic Notation "wp_lam" ">" :=
match
eval
hnf
in
e'
with
App
?e1
_
=>
(* match eval hnf in e1 with Rec BAnon _ _ => *)
wp_bind
K
;
etrans
;
[
eapply
wp_lam
;
repeat
(
reflexivity

rewrite
/=
to_of_val
)]
;
[
eapply
wp_lam
;
repeat
(
fast_done

rewrite
/=
to_of_val
)]
;
simpl_subst
;
wp_finish
(* end *)
end
)
end
.
...
...
@@ 62,9 +62,9 @@ Tactic Notation "wp_op" ">" :=

BinOp
LeOp
_
_
=>
wp_bind
K
;
apply
wp_le
;
wp_finish

BinOp
EqOp
_
_
=>
wp_bind
K
;
apply
wp_eq
;
wp_finish

BinOp
_
_
_
=>
wp_bind
K
;
etrans
;
[
eapply
wp_bin_op
;
reflexivity
]
;
wp_finish
wp_bind
K
;
etrans
;
[
fast_by
eapply
wp_bin_op
]
;
wp_finish

UnOp
_
_
=>
wp_bind
K
;
etrans
;
[
eapply
wp_un_op
;
reflexivity
]
;
wp_finish
wp_bind
K
;
etrans
;
[
fast_by
eapply
wp_un_op
]
;
wp_finish
end
)
end
.
Tactic
Notation
"wp_op"
:
=
wp_op
>
;
try
strip_later
.
...
...
prelude/collections.v
View file @
30758ade
...
...
@@ 265,7 +265,7 @@ Ltac set_unfold :=
[set_solver] already. We use the [naive_solver] tactic as a substitute.
This tactic either fails or proves the goal. *)
Tactic
Notation
"set_solver"
"by"
tactic3
(
tac
)
:
=
try
(
reflexivity

eassumption
)
;
try
fast_done
;
intros
;
setoid_subst
;
set_unfold
;
intros
;
setoid_subst
;
...
...
prelude/tactics.v
View file @
30758ade
...
...
@@ 34,6 +34,13 @@ is rather efficient when having big hint databases, or expensive [Hint Extern]
declarations as the ones above. *)
Tactic
Notation
"intuition"
:
=
intuition
auto
.
(* [done] can get slow as it calls "trivial". [fast_done] can solve way less
goals, but it will also always finish quickly. *)
Ltac
fast_done
:
=
solve
[
reflexivity

eassumption

symmetry
;
eassumption
].
Tactic
Notation
"fast_by"
tactic
(
tac
)
:
=
tac
;
fast_done
.
(** A slightly modified version of Ssreflect's finishing tactic [done]. It
also performs [reflexivity] and uses symmetry of negated equalities. Compared
to Ssreflect's [done], it does not compute the goal's [hnf] so as to avoid
...
...
@@ 42,10 +49,9 @@ Coq's [easy] tactic as it does not perform [inversion]. *)
Ltac
done
:
=
trivial
;
intros
;
solve
[
repeat
first
[
solve
[
trivial
]
[
fast_done

solve
[
trivial
]

solve
[
symmetry
;
trivial
]

eassumption

reflexivity

discriminate

contradiction

solve
[
apply
not_symmetry
;
trivial
]
...
...
@@ 288,7 +294,7 @@ Ltac auto_proper :=
(* Normalize away equalities. *)
simplify_eq
;
(* repeatedly apply congruence lemmas and use the equalities in the hypotheses. *)
try
(
f_equiv
;
assumption

(
symmetry
;
assumption
)

auto_proper
).
try
(
f_equiv
;
fast_done

auto_proper
).
(** solve_proper solves goals of the form "Proper (R1 ==> R2)", for any
number of relations. All the actual work is done by f_equiv;
...
...
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