This module is used for two things that overlap:
SignatureIn this context, generalizing type variables means that if some ID.t whose type was unknown and its type still contains variables after the type inference, those variables are quantified instead of being bound to a default type (typically .Type.i).
For instance: say f is not declared and occurs in the term f(f(nil)) with the declared constructor nil : list(A). The inferred type for f should be something like list(B) -> list(B).
f : list(A) -> list(A) (for all A).f : list($i) -> list($i).Here we use a single scope when we unify and substitute type variables, the scope 0.
Many functions will use an Error monad to make errors explicit. The error type is or_error. The module CCError in containers can be used to deal with errors (including monadic operators).
type 'a or_error = ('a, string) CCResult.ttype type_ = TypedSTerm.ttype untyped = STerm.tuntyped term
type typed = TypedSTerm.ttyped term
type loc = ParseLocation.tval section : Util.Section.tmodule TyBuiltin : sig ... endThis module provides a typing context, with an applicative interface. The context is used to map terms to types locally during type inference. It also keeps and updates a signature when symbols' types are inferred.
This module is quite low-level, and shouldn't be used in simple cases (see the following modules)
module Ctx : sig ... endThis module, abstract in the exact kind of term it types, takes as input a signature and an untyped term, and updates the typing context so that the untyped term can be converted into a typed term.
Infer the type of this term under the given signature. This updates the context's typing environment!
Same as infer_exn but forces the type of its result to be TypedSTerm.prop
Convert a clause. Free variables in each of the list's elements are shared
This section is mostly useful for inferring a signature without converting untyped_terms into typed_terms.
Force the two terms to have the same type in this context
Force the term's type and the given type to be the same.
Safe version of constrain_term_term_exn
Safe version of constrain_term_type_exn
type typed_statement = (typed, typed, type_) Statement.tval infer_statement_exn :
?file:string ->
Ctx.t ->
UntypedAST.statement ->
typed_statement * typed_statement listinfer_statement ctx ~f st checks and convert st into a typed statements, and a list of auxiliary type declarations for symbols that were inferred implicitly.
val infer_statements_exn :
?def_as_rewrite:bool ->
?on_var:[ `Infer | `Default ] ->
?on_undef:[ `Warn | `Fail | `Guess ] ->
?on_shadow:[ `Warn | `Ignore ] ->
?ctx:Ctx.t ->
?file:string ->
implicit_ty_args:bool ->
UntypedAST.statement Iter.t ->
typed_statement CCVector.ro_vectorInfer all statements
val infer_statements :
?def_as_rewrite:bool ->
?on_var:[ `Infer | `Default ] ->
?on_undef:[ `Warn | `Fail | `Guess ] ->
?on_shadow:[ `Warn | `Ignore ] ->
?ctx:Ctx.t ->
?file:string ->
implicit_ty_args:bool ->
UntypedAST.statement Iter.t ->
typed_statement CCVector.ro_vector or_error