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bb8f7667
Commit
bb8f7667
authored
Mar 04, 2016
by
Ralf Jung
Committed by
Robbert Krebbers
Mar 04, 2016
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heap_lang/lang.v
View file @
bb8f7667
...
...
@@ 32,8 +32,16 @@ Proof.
destruct
mx
;
rewrite
/=
?elem_of_cons
;
naive_solver
.
Qed
.
(** A typeclass for whether a variable is bound in a given
context. Making this a typeclass means we can use tpeclass search
to program solving these constraints, so this becomes extensible.
Also, since typeclass search runs *after* unification, Coq has already
inferred the X for us; if we were to go for embedded proof terms ot
tactics, Coq would do things in the wrong order. *)
Class
VarBound
(
x
:
string
)
(
X
:
list
string
)
:
=
var_bound
:
bool_decide
(
x
∈
X
).
(* FIXME shouldn't this have this Hint to only perfom search of x and X
are not evars? *)
Hint
Extern
0
(
VarBound
_
_
)
=>
vm_compute
;
exact
I
:
typeclass_instances
.
Instance
var_bound_proof_irrel
x
X
:
ProofIrrel
(
VarBound
x
X
).
...
...
@@ 46,6 +54,13 @@ Qed.
Inductive
expr
(
X
:
list
string
)
:
=
(* Base lambda calculus *)
(* Var is the only place where the terms contain a proof. The fact that they
contain a proof at all is suboptimal, since this means two seeminlgy
convertible terms could differ in their proofs. However, this also has
some advantages:
* We can make the [X] an index, so we can do nondependent match.
* In expr_weaken, we can push the proof all the way into Var, making
sure that proofs never block computation. *)

Var
(
x
:
string
)
`
{
VarBound
x
X
}

Rec
(
f
x
:
binder
)
(
e
:
expr
(
f
:
b
:
x
:
b
:
X
))

App
(
e1
e2
:
expr
X
)
...
...
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