Adds intersection types as a better way to handle the the case
when restrict cannot structurally intersect two types (e.g. when
you learn within a polymorphic function a variable x of type A
is also an Integer, but we dont know how A relates to Integer).
This allows for non-lossy refinements of type info while typechecking.
This pull request is largely a renaming effort to clean up the TR codebase. There are two primary things I wanted to change:
1. Replace all occurrences of "filter" with "prop" or "proposition"
- The word "filter" is a meaningless opaque term at this point in the Typed Racket implementation. If anything, it just adds confusion to why things are the way the are. We should use "proposition" instead, since that's what they actually are.
2. Avoid using "Top" and "Bottom" in both the type and proposition realm.
- Currently the top type is called Univ and the bottom type is called bottom, while the top proposition is called Top and the bottom proposition is called Bot. This is just unnecessarily confusing, doesn't really line up w/ the user-space names, and doesn't line up with the names we use in TR formalisms. Worse, all of the top types of primitive types---e.g. the type of all structs, StructTop--- use Top, so it is really easy to get confused about what name to use for these sorts of things.
With these issues in mind, I made the following changes to names:
Top -> TrueProp
Bot -> FalseProp
TypeFilter -> TypeProp
NotTypeFilter -> NotTypeProp
AndFilter -> AndProp
OrFilter -> OrProp
-filter t o -> -is-type o t
-not-filter t o -> -not-type o t
FilterSet -> PropSet
NoFilter -> #f
NoObject -> #f
-FS -> -PS
-top -> -tt
-bot -> -ff
implied-atomic? q p -> implies-atomic? p q
filter-rec-id -> prop-rec-id
-no-filter -> -no-propset
-top-filter -> -tt-propset
-bot-filter -> -ff-propset
-true-filter -> -true-propset
-false-filter -> -false-propset
PredicateFilter: -> PredicateProp:
add-unconditional-filter-all-args add-unconditional-prop-all-args
This makes a type like
(-> Any Boolean : #:+ Integer)
a subtype of a type like
(-> Any Boolean : #:+ Number)
For not filters, the direction is reversed.
