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authorJosh Chen2019-02-11 15:37:18 +0100
committerJosh Chen2019-02-11 15:37:18 +0100
commita5692e0ba36b372b9175d7b356f4b2fd1ee3d663 (patch)
treefbd980759d3442c21f3859cd07669b1f6db59c71 /typing.ML
parentda8edcc1162044c33053ea64c4efbd4910b6cec7 (diff)
Put typing functionality into a .thy and clean up antiquotations, which results in some reorganization of the theory import structure.
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-(********
-Isabelle/HoTT: typing.ML
-Feb 2019
-
-Functionality for object-level type inference.
-
-********)
-
-signature TYPING =
-sig
- type jmt = term
- val is_typing_jmt: term -> bool
- val term_of_jmt: jmt -> term
- val type_of_jmt: jmt -> term
-
- val typing_this: Proof.context -> jmt list
- val typing_assms: Proof.context -> jmt list
- val typing_all: Proof.context -> jmt list
-
- val get_typing_in: term -> jmt list -> term option
- val get_local_typing: Proof.context -> term -> term option
-
- val get_declared_typing: theory -> term -> term option
- val put_declared_typing: term -> theory -> theory
-
- val get_typing: Proof.context -> term -> term option
-end
-
-structure Typing: TYPING =
-struct
-
-type jmt = term
-
-(* Determine if a term is a typing judgment *)
-fun is_typing_jmt (@{const HoTT_Base.has_type} $ _ $ _) = true
- | is_typing_jmt _ = false
-
-(* Functions to extract a and A from propositions "a: A" *)
-fun term_of_jmt (@{const HoTT_Base.has_type} $ t $ _) = t
- | term_of_jmt _ = Exn.error "Not a typing judgment"
-
-fun type_of_jmt (@{const HoTT_Base.has_type} $ _ $ T) = T
- | type_of_jmt _ = Exn.error "Not a typing judgment"
-
-(* Get typing assumptions in "this" *)
-fun typing_this ctxt = Util.get_this ctxt |> map Thm.prop_of |> filter is_typing_jmt
-
-(* Get the typing assumptions in the current context *)
-val typing_assms = Util.get_assms #> map Thm.prop_of #> filter is_typing_jmt
-
-(* Get all visible typing judgments—Quick hack for now; should record them separately *)
-fun typing_all ctxt =
- Util.get_all_thms ctxt |> map (Thm.prop_of o snd) |> filter is_typing_jmt
-
-(* Search for a term typing in a list of judgments, and return the type if found.
- --
- The use of aconv_untyped as opposed to aconv is crucial here:
- meta-level type inference is performed *after* syntax translation, which means that
- the translation functions see an unannotated term "f" (in contrast to one annotated
- e.g. "f::t") as having a blank type field.
- Using aconv would result in no match ever being found for f, because any judgment
- involving f records it together with its (non-blank) type field, e.g.
- "Free ("f", "_")"
- seen by the translation function, vs.
- "Free ("f", "t")"
- recorded in the typing judgment.
-*)
-fun get_typing_in tm jmts =
- let val find_type =
- fn jmt => if Term.aconv_untyped (tm, term_of_jmt jmt) then SOME (type_of_jmt jmt) else NONE
- in get_first find_type jmts end
-
-(* Search for typing in the local proof context (no global data).
- We search the facts bound to "this" before searching the assumptions.
- --
- A previous version of this function passed the argument
- (typing_this ctxt @ typing_assms ctxt)
- to get_typing_in.
- --
- This version only evaluates successive lists if the search on the previous list was unsuccessful.
-*)
-fun get_local_typing ctxt tm =
- case get_typing_in tm (typing_this ctxt) of
- NONE => get_typing_in tm (typing_assms ctxt)
- | res => res
-
-(* Storage space for declared typings *)
-structure Declared_Typings = Theory_Data
-(
- type T = term Symtab.table
- val empty = Symtab.empty
- val extend = I
- val merge = K Symtab.empty
-)
-(* Accessor for the above data *)
-fun get_declared_typing thy tm =
- case tm of
- (Free (v, _)) => Symtab.lookup (Declared_Typings.get thy) v
- | _ => NONE
-
-(* Store new typing information for free variables only
- (constants should have their types declared at the moment of definition).
- End users should use the "typing" keyword instead.
-*)
-fun put_declared_typing jmt =
- case jmt of
- Const("HoTT_Base.has_type", _) $ term $ typing =>
- (case term of
- Free (v, _) => Declared_Typings.map (Symtab.update (v, typing))
- | _ => Exn.error "Cannot declare typing assumption (not a free variable)")
- | _ => Exn.error "Not a typing judgment"
-
-(* Get the typing of a term *)
-fun get_typing ctxt tm =
- case get_local_typing ctxt tm of
- NONE => get_declared_typing (Proof_Context.theory_of ctxt) tm
- | res => res
-
-end