The `quot` type is now implemented in the kernel.
We will do the same thing for inductives.
We will not support normalizer extensions anymore in Lean4.
It doesn't make sense since we settled with 2 extensions: quotients and
inductives. Moreover, any new extension would require substantial
changes (e.g., code generator).
The normalizer_extension feature was useful when we were experimenting
with different kernel flavors.
We replace them with a new kind of (delayed) assignment at `metavar_context`
```
mvar := (lctx, locals, v)
```
where `lctx` is a local context, `locals` is a list of local
constants, and `v` is an expression.
When all metavariables in `v` are assigned, this assignment is replaced with
```
mvar := Fun(locals, v)
```
In Lean3, we supported two kinds of local constant:
context-less (inherited from Lean2) and context-based (type,
binder-info and pretty printing name are stored in the context).
The context-less was used in the kernel and a few modules we kept when
we moved from Lean2 to Lean3. Even if we keep the hybrind
representation, we should not expose the context-less to users.
@kha The runtime folder includes what is needed to link a
standalone Lean program. It is still contains some unnecessary files.
We will be able to remove them after we release Lean4.
Without these annotations, Lean will timeout when trying to synthesize
the type class instance `decidable_eq uint32`. The type class resolution
problem will produce the unification problem:
```
decidable (@eq uint32 a b) =?= decidable (@eq usize ?x ?y)
```
which Lean tries to solve by assigning `?x := a`.
During the assignment, the types of `?x` and `a` are unified with "full
force". Thus, we get the constraint
```
usize_sz =?= uint32_sz
```
which will take forever to be solved when peforming the computation in
unary arithmetic.
Remark: this commit also makes sure that `type_context` will not unfold
irreducible definitions when trying to unify/match the types.
The new test `type_class_performance1.lean` exposes the problem fixed
by this commit.
The array dimension is now stored inside the array.
The main motivation is that it reflects the actual runtime implementation.
We need to store the array size to be able to GC it.
So, it feels silly to have the array size stored in each array object,
but we cannot use this information.
For example, in the `hashmap` we implemented the bucket array using
`array`, and we store the `size` of the array.
Same for the Lean3 `buffer` object.
The `buffer` object doesn't even need to exist.
The actual `array` implementation is the `buffer`
