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(** Finiteness gate for DRL queries.
Converts Sakura types to Coq-extracted types and calls the
verified [predicted_finite] function. Rejects queries whose
result cannot be statically proven finite. *)
(* -- string -> char list impedance --------------------------------- *)
let string_to_chars (s : string) : char list =
List.init (String.length s) (String.get s)
(* -- Sakura AST -> extracted AST ----------------------------------- *)
let rec query_of_ast : Ast.query -> Drl_verified.query = function
| Ast.Base name ->
Drl_verified.Base (string_to_chars name)
| Ast.Const pairs ->
Drl_verified.Const
(List.map
(fun (k, v) ->
(string_to_chars k, value_of_ast_value v))
pairs)
| Ast.Select (filter, source) ->
Drl_verified.Select (query_of_ast filter, query_of_ast source)
| Ast.Join (attrs, q1, q2) ->
Drl_verified.Join
(List.map string_to_chars attrs, query_of_ast q1, query_of_ast q2)
| Ast.Cartesian (q1, q2) ->
Drl_verified.Cartesian (query_of_ast q1, query_of_ast q2)
| Ast.Project (attrs, q) ->
Drl_verified.Project (List.map string_to_chars attrs, query_of_ast q)
| Ast.Rename (renames, q) ->
Drl_verified.Rename
(List.map
(fun (o, n) -> (string_to_chars o, string_to_chars n))
renames,
query_of_ast q)
| Ast.Union (q1, q2) ->
Drl_verified.Union (query_of_ast q1, query_of_ast q2)
| Ast.Diff (q1, q2) ->
Drl_verified.Diff (query_of_ast q1, query_of_ast q2)
| Ast.Take (n, q) ->
Drl_verified.Take (n, query_of_ast q)
and value_of_ast_value : Ast.value -> Drl_verified.literal = function
| Ast.Int n -> Drl_verified.LitInt n
(* The Coq model has no float literal. This truncation is harmless:
the finiteness gate inspects only relation names and query structure,
never literal values. *)
| Ast.Float f -> Drl_verified.LitInt (int_of_float f)
| Ast.Str s -> Drl_verified.LitStr (string_to_chars s)
| Ast.Bool b -> Drl_verified.LitBool b
(* -- database snapshot --------------------------------------------- *)
let is_finite (c : Conventions.Cardinality.t) : bool =
match c with
| Conventions.Cardinality.Finite _ | Conventions.Cardinality.ConstrainedFinite -> true
| Conventions.Cardinality.AlephZero | Conventions.Cardinality.Continuum -> false
let database_snapshot (db : Management.Database.t) : Drl_verified.database =
Management.Database.RelationMap.fold
(fun name (rel : Relation.t) acc ->
let entry : Drl_verified.relation =
{ rel_name = string_to_chars name;
rel_finite = is_finite rel.cardinality }
in
(string_to_chars name, entry) :: acc)
db.relations
[]
(* -- public interface ---------------------------------------------- *)
let admit (db : Management.Database.t) (ast : Ast.query) : (unit, string) result =
let vdb = database_snapshot db in
let vq = query_of_ast ast in
match Drl_verified.predicted_finite vdb vq with
| Some true -> Ok ()
| Some false ->
Error "query produces potentially infinite result; use Take to bound it"
| None ->
Error "referenced relation not found in finiteness check"
|