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David Swasey
coqstdpp
Commits
e6b5e0c9
Commit
e6b5e0c9
authored
Feb 19, 2018
by
Robbert Krebbers
Browse files
Add non backtracking `TCIf` type class.
parent
0c5d54ab
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theories/base.v
theories/base.v
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theories/base.v
View file @
e6b5e0c9
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@@ 62,6 +62,20 @@ of this type class. *)
Class
NoBackTrack
(
P
:
Prop
)
:
=
{
no_backtrack
:
P
}.
Hint
Extern
0
(
NoBackTrack
_
)
=>
constructor
;
apply
_
:
typeclass_instances
.
(* A conditional at the type class level. Note that [TCIf P Q R] is not the same
as [TCOr (TCAnd P Q) R]: the latter will backtrack to [R] if it fails to
establish [R], i.e. does not have the behavior of a conditional. Furthermore,
note that [TCOr (TCAnd P Q) (TCAnd (TCNot P) R)] would not work; we generally
would not be able to proof the negation of [P]. *)
Inductive
TCIf
(
P
Q
R
:
Prop
)
:
=

TCIf_true
:
P
→
Q
→
TCIf
P
Q
R

TCIf_false
:
R
→
TCIf
P
Q
R
.
Existing
Class
TCIf
.
Hint
Extern
0
(
TCIf
_
_
_
)
=>
first
[
apply
TCIf_true
;
[
apply
_
]

apply
TCIf_false
]
:
typeclass_instances
.
(** * Typeclass opaque definitions *)
(** The constant [tc_opaque] is used to make definitions opaque for just type
class search. Note that [simpl] is set up to always unfold [tc_opaque]. *)
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