The property map stores the concrete type or superclass bound for all
terms whose suffix is equal to some key, so eg if you have
protocol P {
associatedtype T where T == U?
associatedtype U
}
Then you have this rewrite system
[P].T => [P:T]
[P].U => [P:U]
[P:T].[concrete: Optional<τ_0_0> with <[P:U]>] => [P:T]
Which creates this property map
[P:T] => { [concrete: Optional<τ_0_0> with <[P:U]>] }
Now if I start with a generic signature like
<T, U where U : P>
This produces the following rewrite system:
τ_0_1.[U] => τ_0_1
τ_0_1.T => τ_0_1.[P:T]
τ_0_1.U => τ_0_1.[P:U]
Consider the computation of the canonical type of τ_0_1.T. This term
reduces to τ_0_1.[P:T]. The suffix [P:T] has a concrete type symbol in
the property map, [concrete: Optional<τ_0_0> with <[P:U]>].
However it would not be correct to canonicalize τ_0_1.[P:T] to
Optional<τ_0_0>.subst { τ_0_0 => getTypeForTerm([P:T]) }; this
produces the type Optional<τ_0_0.T>, and not Optional<τ_0_1.T> as
expected.
The reason is that the substitution τ_0_0 => getTypeForTerm([P:T])
is "relative" to the protocol Self type of P, since domain([P:T]) = {P}.
Indeed, the right solution here is to note that τ_0_1.[P:T] has a suffix
equal to the key of the property map entry, [P:T]. If we strip off the
suffix, we get τ_0_1. If we then prepend τ_0_1 to the substitution term,
we get the term τ_0_1.[P:U], whose canonical type is τ_0_1.U.
Now, applying the substitution τ_0_0 => τ_0_1.U to Optional<τ_0_0>
produces the desired result, Optional<τ_0_1.U>.
Note that this is the same "prepend a prefix to each substitution of
a concrete type symbol" operation that is performed in checkForOverlap()
and PropertyBag::copyPropertiesFrom(), however we can simplify things
slightly by open-coding it instead of calling the utility method
prependPrefixToConcreteSubstitutions(), since the latter creates a
new symbol, which we don't actually need.