src/HOL/SPARK/Tools/spark_vcs.ML
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permissions -rw-r--r--
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(*  Title:      HOL/SPARK/Tools/spark_vcs.ML
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    Author:     Stefan Berghofer
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    Copyright:  secunet Security Networks AG
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Store for verification conditions generated by SPARK/Ada.
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*)
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signature SPARK_VCS =
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sig
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  val set_vcs: Fdl_Parser.decls -> Fdl_Parser.rules ->
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    (string * string) * Fdl_Parser.vcs -> Path.T -> theory -> theory
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  val add_proof_fun: (typ option -> 'a -> term) ->
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    string * ((string list * string) option * 'a) ->
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    theory -> theory
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  val add_type: string * typ -> theory -> theory
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  val lookup_vc: theory -> string -> (Element.context_i list *
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    (string * thm list option * Element.context_i * Element.statement_i)) option
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  val get_vcs: theory ->
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    Element.context_i list * (binding * thm) list * (string *
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    (string * thm list option * Element.context_i * Element.statement_i)) list
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  val mark_proved: string -> thm list -> theory -> theory
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  val close: theory -> theory
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  val is_closed: theory -> bool
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end;
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structure SPARK_VCs: SPARK_VCS =
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struct
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open Fdl_Parser;
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(** theory data **)
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fun err_unfinished () = error "An unfinished SPARK environment is still open."
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val strip_number = pairself implode o take_suffix Fdl_Lexer.is_digit o raw_explode;
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val name_ord = prod_ord string_ord (option_ord int_ord) o
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  pairself (strip_number ##> Int.fromString);
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structure VCtab = Table(type key = string val ord = name_ord);
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structure VCs = Theory_Data
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(
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  type T =
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    {pfuns: ((string list * string) option * term) Symtab.table,
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     type_map: typ Symtab.table,
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     env:
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       {ctxt: Element.context_i list,
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        defs: (binding * thm) list,
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        types: fdl_type tab,
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        funs: (string list * string) tab,
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        ids: (term * string) Symtab.table * Name.context,
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        proving: bool,
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        vcs: (string * thm list option *
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          (string * expr) list * (string * expr) list) VCtab.table,
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        path: Path.T} option}
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  val empty : T = {pfuns = Symtab.empty, type_map = Symtab.empty, env = NONE}
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  val extend = I
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  fun merge ({pfuns = pfuns1, type_map = type_map1, env = NONE},
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        {pfuns = pfuns2, type_map = type_map2, env = NONE}) =
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        {pfuns = Symtab.merge (eq_pair (op =) (op aconv)) (pfuns1, pfuns2),
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         type_map = Symtab.merge (op =) (type_map1, type_map2),
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         env = NONE}
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    | merge _ = err_unfinished ()
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)
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(** utilities **)
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val to_lower = raw_explode #> map Symbol.to_ascii_lower #> implode;
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val lcase_eq = (op =) o pairself (to_lower o Long_Name.base_name);
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fun mk_unop s t =
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  let val T = fastype_of t
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  in Const (s, T --> T) $ t end;
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fun mk_times (t, u) =
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  let
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    val setT = fastype_of t;
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    val T = HOLogic.dest_setT setT;
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    val U = HOLogic.dest_setT (fastype_of u)
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  in
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    Const (@{const_name Sigma}, setT --> (T --> HOLogic.mk_setT U) -->
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      HOLogic.mk_setT (HOLogic.mk_prodT (T, U))) $ t $ Abs ("", T, u)
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  end;
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fun get_type thy ty =
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  let val {type_map, ...} = VCs.get thy
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  in Symtab.lookup type_map ty end;
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fun mk_type _ "integer" = HOLogic.intT
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  | mk_type _ "boolean" = HOLogic.boolT
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  | mk_type thy ty =
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      (case get_type thy ty of
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         NONE =>
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           Syntax.check_typ (ProofContext.init_global thy)
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             (Type (Sign.full_name thy (Binding.name ty), []))
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       | SOME T => T);
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val booleanN = "boolean";
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val integerN = "integer";
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fun define_overloaded (def_name, eq) lthy =
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  let
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    val ((c, _), rhs) = eq |> Syntax.check_term lthy |>
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      Logic.dest_equals |>> dest_Free;
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    val ((_, (_, thm)), lthy') = Local_Theory.define
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      ((Binding.name c, NoSyn), ((Binding.name def_name, []), rhs)) lthy
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    val ctxt_thy = ProofContext.init_global (ProofContext.theory_of lthy');
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    val thm' = singleton (ProofContext.export lthy' ctxt_thy) thm
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  in (thm', lthy') end;
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fun strip_underscores s =
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  strip_underscores (unsuffix "_" s) handle Fail _ => s;
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fun strip_tilde s =
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  unsuffix "~" s ^ "_init" handle Fail _ => s;
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val mangle_name = strip_underscores #> strip_tilde;
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fun mk_variables thy xs ty (tab, ctxt) =
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  let
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    val T = mk_type thy ty;
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    val (ys, ctxt') = Name.variants (map mangle_name xs) ctxt;
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    val zs = map (Free o rpair T) ys;
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  in (zs, (fold (Symtab.update o apsnd (rpair ty)) (xs ~~ zs) tab, ctxt')) end;
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fun get_record_info thy T = (case Record.dest_recTs T of
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    [(tyname, [@{typ unit}])] =>
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      Record.get_info thy (Long_Name.qualifier tyname)
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  | _ => NONE);
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fun find_field fname = find_first (curry lcase_eq fname o fst);
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fun find_field' fname = get_first (fn (flds, fldty) =>
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  if member (op =) flds fname then SOME fldty else NONE);
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fun assoc_ty_err thy T s msg =
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  error ("Type " ^ Syntax.string_of_typ_global thy T ^
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    " associated with SPARK type " ^ s ^ "\n" ^ msg);
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(** generate properties of enumeration types **)
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fun add_enum_type tyname tyname' thy =
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  let
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    val {case_name, ...} = the (Datatype_Data.get_info thy tyname');
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    val cs = map Const (the (Datatype_Data.get_constrs thy tyname'));
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    val k = length cs;
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    val T = Type (tyname', []);
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    val p = Const (@{const_name pos}, T --> HOLogic.intT);
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    val v = Const (@{const_name val}, HOLogic.intT --> T);
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    val card = Const (@{const_name card},
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      HOLogic.mk_setT T --> HOLogic.natT) $ HOLogic.mk_UNIV T;
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    fun mk_binrel_def s f = Logic.mk_equals
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      (Const (s, T --> T --> HOLogic.boolT),
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       Abs ("x", T, Abs ("y", T,
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         Const (s, HOLogic.intT --> HOLogic.intT --> HOLogic.boolT) $
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           (f $ Bound 1) $ (f $ Bound 0))));
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    val (((def1, def2), def3), lthy) = thy |>
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      Class.instantiation ([tyname'], [], @{sort enum}) |>
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      define_overloaded ("pos_" ^ tyname ^ "_def", Logic.mk_equals
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        (p,
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         list_comb (Const (case_name, replicate k HOLogic.intT @
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             [T] ---> HOLogic.intT),
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           map (HOLogic.mk_number HOLogic.intT) (0 upto k - 1)))) ||>>
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      define_overloaded ("less_eq_" ^ tyname ^ "_def",
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        mk_binrel_def @{const_name less_eq} p) ||>>
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      define_overloaded ("less_" ^ tyname ^ "_def",
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        mk_binrel_def @{const_name less} p);
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    val UNIV_eq = Goal.prove lthy [] []
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      (HOLogic.mk_Trueprop (HOLogic.mk_eq
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         (HOLogic.mk_UNIV T, HOLogic.mk_set T cs)))
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      (fn _ =>
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         rtac @{thm subset_antisym} 1 THEN
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         rtac @{thm subsetI} 1 THEN
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         Datatype_Aux.exh_tac (K (#exhaust (Datatype_Data.the_info
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           (ProofContext.theory_of lthy) tyname'))) 1 THEN
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         ALLGOALS (asm_full_simp_tac (simpset_of lthy)));
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    val finite_UNIV = Goal.prove lthy [] []
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      (HOLogic.mk_Trueprop (Const (@{const_name finite},
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         HOLogic.mk_setT T --> HOLogic.boolT) $ HOLogic.mk_UNIV T))
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      (fn _ => simp_tac (simpset_of lthy addsimps [UNIV_eq]) 1);
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    val card_UNIV = Goal.prove lthy [] []
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      (HOLogic.mk_Trueprop (HOLogic.mk_eq
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         (card, HOLogic.mk_number HOLogic.natT k)))
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      (fn _ => simp_tac (simpset_of lthy addsimps [UNIV_eq]) 1);
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    val range_pos = Goal.prove lthy [] []
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      (HOLogic.mk_Trueprop (HOLogic.mk_eq
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         (Const (@{const_name image}, (T --> HOLogic.intT) -->
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            HOLogic.mk_setT T --> HOLogic.mk_setT HOLogic.intT) $
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              p $ HOLogic.mk_UNIV T,
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          Const (@{const_name atLeastLessThan}, HOLogic.intT -->
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            HOLogic.intT --> HOLogic.mk_setT HOLogic.intT) $
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              HOLogic.mk_number HOLogic.intT 0 $
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              (@{term int} $ card))))
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      (fn _ =>
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         simp_tac (simpset_of lthy addsimps [card_UNIV]) 1 THEN
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         simp_tac (simpset_of lthy addsimps [UNIV_eq, def1]) 1 THEN
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         rtac @{thm subset_antisym} 1 THEN
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         simp_tac (simpset_of lthy) 1 THEN
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         rtac @{thm subsetI} 1 THEN
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         asm_full_simp_tac (simpset_of lthy addsimps @{thms interval_expand}
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           delsimps @{thms atLeastLessThan_iff}) 1);
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    val lthy' =
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      Class.prove_instantiation_instance (fn _ =>
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        Class.intro_classes_tac [] THEN
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        rtac finite_UNIV 1 THEN
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        rtac range_pos 1 THEN
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        simp_tac (HOL_basic_ss addsimps [def3]) 1 THEN
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        simp_tac (HOL_basic_ss addsimps [def2]) 1) lthy;
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    val (pos_eqs, val_eqs) = split_list (map_index (fn (i, c) =>
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      let
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        val n = HOLogic.mk_number HOLogic.intT i;
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        val th = Goal.prove lthy' [] []
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          (HOLogic.mk_Trueprop (HOLogic.mk_eq (p $ c, n)))
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          (fn _ => simp_tac (simpset_of lthy' addsimps [def1]) 1);
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        val th' = Goal.prove lthy' [] []
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          (HOLogic.mk_Trueprop (HOLogic.mk_eq (v $ n, c)))
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          (fn _ =>
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             rtac (@{thm inj_pos} RS @{thm injD}) 1 THEN
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             simp_tac (simpset_of lthy' addsimps
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               [@{thm pos_val}, range_pos, card_UNIV, th]) 1)
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      in (th, th') end) cs);
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    val first_el = Goal.prove lthy' [] []
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      (HOLogic.mk_Trueprop (HOLogic.mk_eq
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         (Const (@{const_name first_el}, T), hd cs)))
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      (fn _ => simp_tac (simpset_of lthy' addsimps
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         [@{thm first_el_def}, hd val_eqs]) 1);
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    val last_el = Goal.prove lthy' [] []
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      (HOLogic.mk_Trueprop (HOLogic.mk_eq
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         (Const (@{const_name last_el}, T), List.last cs)))
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      (fn _ => simp_tac (simpset_of lthy' addsimps
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         [@{thm last_el_def}, List.last val_eqs, card_UNIV]) 1);
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    val simp_att = [Attrib.internal (K Simplifier.simp_add)]
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  in
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    lthy' |>
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    Local_Theory.note
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      ((Binding.name (tyname ^ "_card_UNIV"), simp_att), [card_UNIV]) ||>>
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    Local_Theory.note
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      ((Binding.name (tyname ^ "_pos"), simp_att), pos_eqs) ||>>
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    Local_Theory.note
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      ((Binding.name (tyname ^ "_val"), simp_att), val_eqs) ||>>
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    Local_Theory.note
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      ((Binding.name (tyname ^ "_first_el"), simp_att), [first_el]) ||>>
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    Local_Theory.note
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      ((Binding.name (tyname ^ "_last_el"), simp_att), [last_el]) |> snd |>
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    Local_Theory.exit_global
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  end;
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fun check_no_assoc thy s = case get_type thy s of
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    NONE => ()
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  | SOME _ => error ("Cannot associate a type with " ^ s ^
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      "\nsince it is no record or enumeration type");
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fun check_enum [] [] = NONE 
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  | check_enum els [] = SOME ("has no element(s) " ^ commas els)
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  | check_enum [] cs = SOME ("has extra element(s) " ^
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      commas (map (Long_Name.base_name o fst) cs))
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  | check_enum (el :: els) ((cname, _) :: cs) =
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      if lcase_eq (el, cname) then check_enum els cs
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      else SOME ("either has no element " ^ el ^
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        " or it is at the wrong position");
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fun add_type_def (s, Basic_Type ty) (ids, thy) =
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      (check_no_assoc thy s;
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       (ids,
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        Typedecl.abbrev_global (Binding.name s, [], NoSyn)
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          (mk_type thy ty) thy |> snd))
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  | add_type_def (s, Enum_Type els) ((tab, ctxt), thy) =
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      let
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        val (thy', tyname) = (case get_type thy s of
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            NONE =>
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              let
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                val tyb = Binding.name s;
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                val tyname = Sign.full_name thy tyb
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              in
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                (thy |>
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                 Datatype.add_datatype {strict = true, quiet = true} [s]
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                   [([], tyb, NoSyn,
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                     map (fn s => (Binding.name s, [], NoSyn)) els)] |> snd |>
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                 add_enum_type s tyname,
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                 tyname)
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              end
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          | SOME (T as Type (tyname, [])) =>
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berghofe
parents: 41896
diff changeset
   305
              (case Datatype_Data.get_constrs thy tyname of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   306
                 NONE => assoc_ty_err thy T s "is not a datatype"
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   307
               | SOME cs => (case check_enum els cs of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   308
                   NONE => (thy, tyname)
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   309
                 | SOME msg => assoc_ty_err thy T s msg)));
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   310
        val cs = map Const (the (Datatype_Data.get_constrs thy' tyname))
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   311
      in
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   312
        ((fold (Symtab.update_new o apsnd (rpair s)) (els ~~ cs) tab,
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   313
          fold Name.declare els ctxt),
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   314
         thy')
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   315
      end
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   316
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   317
  | add_type_def (s, Array_Type (argtys, resty)) (ids, thy) =
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   318
      (check_no_assoc thy s;
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   319
       (ids,
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   320
        Typedecl.abbrev_global (Binding.name s, [], NoSyn)
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   321
          (foldr1 HOLogic.mk_prodT (map (mk_type thy) argtys) -->
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   322
             mk_type thy resty) thy |> snd))
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   323
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   324
  | add_type_def (s, Record_Type fldtys) (ids, thy) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   325
      (ids,
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   326
       let val fldTs = maps (fn (flds, ty) =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   327
         map (rpair (mk_type thy ty)) flds) fldtys
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   328
       in case get_type thy s of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   329
           NONE =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   330
             Record.add_record true ([], Binding.name s) NONE
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   331
               (map (fn (fld, T) => (Binding.name fld, T, NoSyn)) fldTs) thy
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   332
         | SOME rT =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   333
             (case get_record_info thy rT of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   334
                NONE => assoc_ty_err thy rT s "is not a record type"
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   335
              | SOME {fields, ...} =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   336
                  (case subtract (lcase_eq o pairself fst) fldTs fields of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   337
                     [] => ()
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   338
                   | flds => assoc_ty_err thy rT s ("has extra field(s) " ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   339
                       commas (map (Long_Name.base_name o fst) flds));
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   340
                   map (fn (fld, T) =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   341
                     case AList.lookup lcase_eq fields fld of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   342
                       NONE => assoc_ty_err thy rT s ("has no field " ^ fld)
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   343
                     | SOME U => T = U orelse assoc_ty_err thy rT s
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   344
                         ("has field " ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   345
                          fld ^ " whose type\n" ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   346
                          Syntax.string_of_typ_global thy U ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   347
                          "\ndoes not match declared type\n" ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   348
                          Syntax.string_of_typ_global thy T)) fldTs;
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   349
                   thy))
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   350
       end)
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   351
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   352
  | add_type_def (s, Pending_Type) (ids, thy) =
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   353
      (check_no_assoc thy s;
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   354
       (ids, Typedecl.typedecl_global (Binding.name s, [], NoSyn) thy |> snd));
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   355
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   356
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   357
fun term_of_expr thy types funs pfuns =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   358
  let
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   359
    fun tm_of vs (Funct ("->", [e, e'])) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   360
          (HOLogic.mk_imp (fst (tm_of vs e), fst (tm_of vs e')), booleanN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   361
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   362
      | tm_of vs (Funct ("<->", [e, e'])) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   363
          (HOLogic.mk_eq (fst (tm_of vs e), fst (tm_of vs e')), booleanN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   364
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   365
      | tm_of vs (Funct ("or", [e, e'])) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   366
          (HOLogic.mk_disj (fst (tm_of vs e), fst (tm_of vs e')), booleanN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   367
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   368
      | tm_of vs (Funct ("and", [e, e'])) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   369
          (HOLogic.mk_conj (fst (tm_of vs e), fst (tm_of vs e')), booleanN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   370
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   371
      | tm_of vs (Funct ("not", [e])) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   372
          (HOLogic.mk_not (fst (tm_of vs e)), booleanN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   373
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   374
      | tm_of vs (Funct ("=", [e, e'])) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   375
          (HOLogic.mk_eq (fst (tm_of vs e), fst (tm_of vs e')), booleanN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   376
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   377
      | tm_of vs (Funct ("<>", [e, e'])) = (HOLogic.mk_not
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   378
          (HOLogic.mk_eq (fst (tm_of vs e), fst (tm_of vs e'))), booleanN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   379
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   380
      | tm_of vs (Funct ("<", [e, e'])) = (HOLogic.mk_binrel @{const_name less}
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   381
          (fst (tm_of vs e), fst (tm_of vs e')), booleanN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   382
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   383
      | tm_of vs (Funct (">", [e, e'])) = (HOLogic.mk_binrel @{const_name less}
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   384
          (fst (tm_of vs e'), fst (tm_of vs e)), booleanN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   385
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   386
      | tm_of vs (Funct ("<=", [e, e'])) = (HOLogic.mk_binrel @{const_name less_eq}
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   387
          (fst (tm_of vs e), fst (tm_of vs e')), booleanN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   388
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   389
      | tm_of vs (Funct (">=", [e, e'])) = (HOLogic.mk_binrel @{const_name less_eq}
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   390
          (fst (tm_of vs e'), fst (tm_of vs e)), booleanN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   391
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   392
      | tm_of vs (Funct ("+", [e, e'])) = (HOLogic.mk_binop @{const_name plus}
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   393
          (fst (tm_of vs e), fst (tm_of vs e')), integerN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   394
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   395
      | tm_of vs (Funct ("-", [e, e'])) = (HOLogic.mk_binop @{const_name minus}
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   396
          (fst (tm_of vs e), fst (tm_of vs e')), integerN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   397
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   398
      | tm_of vs (Funct ("*", [e, e'])) = (HOLogic.mk_binop @{const_name times}
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   399
          (fst (tm_of vs e), fst (tm_of vs e')), integerN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   400
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   401
      | tm_of vs (Funct ("/", [e, e'])) = (HOLogic.mk_binop @{const_name divide}
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   402
          (fst (tm_of vs e), fst (tm_of vs e')), integerN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   403
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   404
      | tm_of vs (Funct ("div", [e, e'])) = (HOLogic.mk_binop @{const_name sdiv}
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   405
          (fst (tm_of vs e), fst (tm_of vs e')), integerN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   406
41635
f938a6022d2e Replaced smod by standard mod operator to reflect actual behaviour
berghofe
parents: 41561
diff changeset
   407
      | tm_of vs (Funct ("mod", [e, e'])) = (HOLogic.mk_binop @{const_name mod}
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   408
          (fst (tm_of vs e), fst (tm_of vs e')), integerN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   409
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   410
      | tm_of vs (Funct ("-", [e])) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   411
          (mk_unop @{const_name uminus} (fst (tm_of vs e)), integerN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   412
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   413
      | tm_of vs (Funct ("**", [e, e'])) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   414
          (Const (@{const_name power}, HOLogic.intT --> HOLogic.natT -->
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   415
             HOLogic.intT) $ fst (tm_of vs e) $
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   416
               (@{const nat} $ fst (tm_of vs e')), integerN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   417
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   418
      | tm_of (tab, _) (Ident s) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   419
          (case Symtab.lookup tab s of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   420
             SOME t_ty => t_ty
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   421
           | NONE => error ("Undeclared identifier " ^ s))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   422
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   423
      | tm_of _ (Number i) = (HOLogic.mk_number HOLogic.intT i, integerN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   424
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   425
      | tm_of vs (Quantifier (s, xs, ty, e)) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   426
          let
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   427
            val (ys, vs') = mk_variables thy xs ty vs;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   428
            val q = (case s of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   429
                "for_all" => HOLogic.mk_all
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   430
              | "for_some" => HOLogic.mk_exists)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   431
          in
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   432
            (fold_rev (fn Free (x, T) => fn t => q (x, T, t))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   433
               ys (fst (tm_of vs' e)),
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   434
             booleanN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   435
          end
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   436
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   437
      | tm_of vs (Funct (s, es)) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   438
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   439
          (* record field selection *)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   440
          (case try (unprefix "fld_") s of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   441
             SOME fname => (case es of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   442
               [e] =>
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   443
                 let
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   444
                   val (t, rcdty) = tm_of vs e;
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   445
                   val rT = mk_type thy rcdty
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   446
                 in case (get_record_info thy rT, lookup types rcdty) of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   447
                     (SOME {fields, ...}, SOME (Record_Type fldtys)) =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   448
                       (case (find_field fname fields,
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   449
                            find_field' fname fldtys) of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   450
                          (SOME (fname', fT), SOME fldty) =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   451
                            (Const (fname', rT --> fT) $ t, fldty)
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   452
                        | _ => error ("Record " ^ rcdty ^
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   453
                            " has no field named " ^ fname))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   454
                   | _ => error (rcdty ^ " is not a record type")
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   455
                 end
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   456
             | _ => error ("Function " ^ s ^ " expects one argument"))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   457
           | NONE =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   458
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   459
          (* record field update *)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   460
          (case try (unprefix "upf_") s of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   461
             SOME fname => (case es of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   462
               [e, e'] =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   463
                 let
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   464
                   val (t, rcdty) = tm_of vs e;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   465
                   val rT = mk_type thy rcdty;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   466
                   val (u, fldty) = tm_of vs e';
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   467
                   val fT = mk_type thy fldty
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   468
                 in case get_record_info thy rT of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   469
                     SOME {fields, ...} =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   470
                       (case find_field fname fields of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   471
                          SOME (fname', fU) =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   472
                            if fT = fU then
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   473
                              (Const (fname' ^ "_update",
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   474
                                 (fT --> fT) --> rT --> rT) $
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   475
                                   Abs ("x", fT, u) $ t,
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   476
                               rcdty)
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   477
                            else error ("Type\n" ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   478
                              Syntax.string_of_typ_global thy fT ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   479
                              "\ndoes not match type\n" ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   480
                              Syntax.string_of_typ_global thy fU ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   481
                              "\nof field " ^ fname)
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   482
                        | NONE => error ("Record " ^ rcdty ^
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   483
                            " has no field named " ^ fname))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   484
                   | _ => error (rcdty ^ " is not a record type")
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   485
                 end
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   486
             | _ => error ("Function " ^ s ^ " expects two arguments"))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   487
           | NONE =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   488
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   489
          (* enumeration type to integer *)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   490
          (case try (unsuffix "__pos") s of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   491
             SOME tyname => (case es of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   492
               [e] => (Const (@{const_name pos},
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   493
                 mk_type thy tyname --> HOLogic.intT) $ fst (tm_of vs e), integerN)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   494
             | _ => error ("Function " ^ s ^ " expects one argument"))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   495
           | NONE =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   496
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   497
          (* integer to enumeration type *)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   498
          (case try (unsuffix "__val") s of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   499
             SOME tyname => (case es of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   500
               [e] => (Const (@{const_name val},
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   501
                 HOLogic.intT --> mk_type thy tyname) $ fst (tm_of vs e), tyname)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   502
             | _ => error ("Function " ^ s ^ " expects one argument"))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   503
           | NONE =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   504
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   505
          (* successor / predecessor of enumeration type element *)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   506
          if s = "succ" orelse s = "pred" then (case es of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   507
              [e] =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   508
                let
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   509
                  val (t, tyname) = tm_of vs e;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   510
                  val T = mk_type thy tyname
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   511
                in (Const
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   512
                  (if s = "succ" then @{const_name succ}
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   513
                   else @{const_name pred}, T --> T) $ t, tyname)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   514
                end
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   515
            | _ => error ("Function " ^ s ^ " expects one argument"))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   516
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   517
          (* user-defined proof function *)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   518
          else
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   519
            (case Symtab.lookup pfuns s of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   520
               SOME (SOME (_, resty), t) =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   521
                 (list_comb (t, map (fst o tm_of vs) es), resty)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   522
             | _ => error ("Undeclared proof function " ^ s))))))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   523
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   524
      | tm_of vs (Element (e, es)) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   525
          let val (t, ty) = tm_of vs e
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   526
          in case lookup types ty of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   527
              SOME (Array_Type (_, elty)) =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   528
                (t $ foldr1 HOLogic.mk_prod (map (fst o tm_of vs) es), elty)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   529
            | _ => error (ty ^ " is not an array type")
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   530
          end
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   531
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   532
      | tm_of vs (Update (e, es, e')) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   533
          let val (t, ty) = tm_of vs e
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   534
          in case lookup types ty of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   535
              SOME (Array_Type (idxtys, elty)) =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   536
                let
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   537
                  val T = foldr1 HOLogic.mk_prodT (map (mk_type thy) idxtys);
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   538
                  val U = mk_type thy elty;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   539
                  val fT = T --> U
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   540
                in
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   541
                  (Const (@{const_name fun_upd}, fT --> T --> U --> fT) $
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   542
                     t $ foldr1 HOLogic.mk_prod (map (fst o tm_of vs) es) $
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   543
                       fst (tm_of vs e'),
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   544
                   ty)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   545
                end
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   546
            | _ => error (ty ^ " is not an array type")
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   547
          end
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   548
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   549
      | tm_of vs (Record (s, flds)) =
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   550
          let
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   551
            val T = mk_type thy s;
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   552
            val {extension = (ext_name, _), fields, ...} =
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   553
              (case get_record_info thy T of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   554
                 NONE => error (s ^ " is not a record type")
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   555
               | SOME info => info);
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   556
            val flds' = map (apsnd (tm_of vs)) flds;
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   557
            val fnames = map (Long_Name.base_name o fst) fields;
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   558
            val fnames' = map fst flds;
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   559
            val (fvals, ftys) = split_list (map (fn s' =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   560
              case AList.lookup lcase_eq flds' s' of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   561
                SOME fval_ty => fval_ty
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   562
              | NONE => error ("Field " ^ s' ^ " missing in record " ^ s))
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   563
                  fnames);
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   564
            val _ = (case subtract lcase_eq fnames fnames' of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   565
                [] => ()
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   566
              | xs => error ("Extra field(s) " ^ commas xs ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   567
                  " in record " ^ s));
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   568
            val _ = (case duplicates (op =) fnames' of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   569
                [] => ()
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   570
              | xs => error ("Duplicate field(s) " ^ commas xs ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   571
                  " in record " ^ s))
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   572
          in
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   573
            (list_comb
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   574
               (Const (ext_name,
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   575
                  map (mk_type thy) ftys @ [HOLogic.unitT] ---> T),
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   576
                fvals @ [HOLogic.unit]),
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   577
             s)
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   578
          end
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   579
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   580
      | tm_of vs (Array (s, default, assocs)) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   581
          (case lookup types s of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   582
             SOME (Array_Type (idxtys, elty)) =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   583
               let
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   584
                 val Ts = map (mk_type thy) idxtys;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   585
                 val T = foldr1 HOLogic.mk_prodT Ts;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   586
                 val U = mk_type thy elty;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   587
                 fun mk_idx' T (e, NONE) = HOLogic.mk_set T [fst (tm_of vs e)]
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   588
                   | mk_idx' T (e, SOME e') = Const (@{const_name atLeastAtMost},
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   589
                       T --> T --> HOLogic.mk_setT T) $
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   590
                         fst (tm_of vs e) $ fst (tm_of vs e');
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   591
                 fun mk_idx idx =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   592
                   if length Ts <> length idx then
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   593
                     error ("Arity mismatch in construction of array " ^ s)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   594
                   else foldr1 mk_times (map2 mk_idx' Ts idx);
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   595
                 fun mk_upd (idxs, e) t =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   596
                   if length idxs = 1 andalso forall (is_none o snd) (hd idxs)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   597
                   then
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   598
                     Const (@{const_name fun_upd}, (T --> U) -->
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   599
                         T --> U --> T --> U) $ t $
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   600
                       foldl1 HOLogic.mk_prod
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   601
                         (map (fst o tm_of vs o fst) (hd idxs)) $
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   602
                       fst (tm_of vs e)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   603
                   else
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   604
                     Const (@{const_name fun_upds}, (T --> U) -->
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   605
                         HOLogic.mk_setT T --> U --> T --> U) $ t $
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   606
                       foldl1 (HOLogic.mk_binop @{const_name sup})
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   607
                         (map mk_idx idxs) $
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   608
                       fst (tm_of vs e)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   609
               in
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   610
                 (fold mk_upd assocs
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   611
                    (case default of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   612
                       SOME e => Abs ("x", T, fst (tm_of vs e))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   613
                     | NONE => Const (@{const_name undefined}, T --> U)),
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   614
                  s)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   615
               end
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   616
           | _ => error (s ^ " is not an array type"))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   617
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   618
  in tm_of end;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   619
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   620
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   621
fun term_of_rule thy types funs pfuns ids rule =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   622
  let val tm_of = fst o term_of_expr thy types funs pfuns ids
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   623
  in case rule of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   624
      Inference_Rule (es, e) => Logic.list_implies
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   625
        (map (HOLogic.mk_Trueprop o tm_of) es, HOLogic.mk_Trueprop (tm_of e))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   626
    | Substitution_Rule (es, e, e') => Logic.list_implies
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   627
        (map (HOLogic.mk_Trueprop o tm_of) es,
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   628
         HOLogic.mk_Trueprop (HOLogic.mk_eq (tm_of e, tm_of e')))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   629
  end;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   630
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   631
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   632
val builtin = Symtab.make (map (rpair ())
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   633
  ["->", "<->", "or", "and", "not", "=", "<>", "<", ">", "<=", ">=",
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   634
   "+", "-", "*", "/", "div", "mod", "**"]);
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   635
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   636
fun complex_expr (Number _) = false
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   637
  | complex_expr (Ident _) = false 
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   638
  | complex_expr (Funct (s, es)) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   639
      not (Symtab.defined builtin s) orelse exists complex_expr es
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   640
  | complex_expr (Quantifier (_, _, _, e)) = complex_expr e
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   641
  | complex_expr _ = true;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   642
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   643
fun complex_rule (Inference_Rule (es, e)) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   644
      complex_expr e orelse exists complex_expr es
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   645
  | complex_rule (Substitution_Rule (es, e, e')) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   646
      complex_expr e orelse complex_expr e' orelse
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   647
      exists complex_expr es;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   648
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   649
val is_pfun =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   650
  Symtab.defined builtin orf
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   651
  can (unprefix "fld_") orf can (unprefix "upf_") orf
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   652
  can (unsuffix "__pos") orf can (unsuffix "__val") orf
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   653
  equal "succ" orf equal "pred";
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   654
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   655
fun fold_opt f = the_default I o Option.map f;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   656
fun fold_pair f g (x, y) = f x #> g y;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   657
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   658
fun fold_expr f g (Funct (s, es)) = f s #> fold (fold_expr f g) es
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   659
  | fold_expr f g (Ident s) = g s
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   660
  | fold_expr f g (Number _) = I
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   661
  | fold_expr f g (Quantifier (_, _, _, e)) = fold_expr f g e
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   662
  | fold_expr f g (Element (e, es)) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   663
      fold_expr f g e #> fold (fold_expr f g) es
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   664
  | fold_expr f g (Update (e, es, e')) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   665
      fold_expr f g e #> fold (fold_expr f g) es #> fold_expr f g e'
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   666
  | fold_expr f g (Record (_, flds)) = fold (fold_expr f g o snd) flds
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   667
  | fold_expr f g (Array (_, default, assocs)) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   668
      fold_opt (fold_expr f g) default #>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   669
      fold (fold_pair
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   670
        (fold (fold (fold_pair
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   671
          (fold_expr f g) (fold_opt (fold_expr f g)))))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   672
        (fold_expr f g)) assocs;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   673
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   674
val add_expr_pfuns = fold_expr
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   675
  (fn s => if is_pfun s then I else insert (op =) s) (K I);
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   676
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   677
val add_expr_idents = fold_expr (K I) (insert (op =));
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   678
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   679
fun pfun_type thy (argtys, resty) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   680
  map (mk_type thy) argtys ---> mk_type thy resty;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   681
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   682
fun check_pfun_type thy s t optty1 optty2 =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   683
  let
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   684
    val T = fastype_of t;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   685
    fun check ty =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   686
      let val U = pfun_type thy ty
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   687
      in
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   688
        T = U orelse
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   689
        error ("Type\n" ^
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   690
          Syntax.string_of_typ_global thy T ^
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   691
          "\nof function " ^
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   692
          Syntax.string_of_term_global thy t ^
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   693
          " associated with proof function " ^ s ^
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   694
          "\ndoes not match declared type\n" ^
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   695
          Syntax.string_of_typ_global thy U)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   696
      end
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   697
  in (Option.map check optty1; Option.map check optty2; ()) end;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   698
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   699
fun upd_option x y = if is_some x then x else y;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   700
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   701
fun check_pfuns_types thy funs =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   702
  Symtab.map (fn s => fn (optty, t) =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   703
   let val optty' = lookup funs s
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   704
   in
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   705
     (check_pfun_type thy s t optty optty';
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   706
      (NONE |> upd_option optty |> upd_option optty', t))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   707
   end);
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   708
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   709
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   710
(** the VC store **)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   711
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   712
fun err_vcs names = error (Pretty.string_of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   713
  (Pretty.big_list "The following verification conditions have not been proved:"
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   714
    (map Pretty.str names)))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   715
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   716
fun set_env (env as {funs, ...}) thy = VCs.map (fn
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   717
    {pfuns, type_map, env = NONE} =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   718
      {pfuns = check_pfuns_types thy funs pfuns,
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   719
       type_map = type_map,
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   720
       env = SOME env}
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   721
  | _ => err_unfinished ()) thy;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   722
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   723
fun mk_pat s = (case Int.fromString s of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   724
    SOME i => [HOLogic.mk_Trueprop (Var (("C", i), HOLogic.boolT))]
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   725
  | NONE => error ("Bad conclusion identifier: C" ^ s));
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   726
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   727
fun mk_vc thy types funs pfuns ids (tr, proved, ps, cs) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   728
  let val prop_of =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   729
    HOLogic.mk_Trueprop o fst o term_of_expr thy types funs pfuns ids
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   730
  in
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   731
    (tr, proved,
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   732
     Element.Assumes (map (fn (s', e) =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   733
       ((Binding.name ("H" ^ s'), []), [(prop_of e, [])])) ps),
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   734
     Element.Shows (map (fn (s', e) =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   735
       (Attrib.empty_binding, [(prop_of e, mk_pat s')])) cs))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   736
  end;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   737
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   738
fun fold_vcs f vcs =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   739
  VCtab.fold (fn (_, (_, _, ps, cs)) => fold f ps #> fold f cs) vcs;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   740
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   741
fun pfuns_of_vcs pfuns vcs =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   742
  fold_vcs (add_expr_pfuns o snd) vcs [] |>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   743
  filter_out (Symtab.defined pfuns);
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   744
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   745
fun declare_missing_pfuns thy funs pfuns vcs (tab, ctxt) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   746
  let
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   747
    val (fs, (tys, Ts)) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   748
      pfuns_of_vcs pfuns vcs |>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   749
      map_filter (fn s => lookup funs s |>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   750
        Option.map (fn ty => (s, (SOME ty, pfun_type thy ty)))) |>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   751
      split_list ||> split_list;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   752
    val (fs', ctxt') = Name.variants fs ctxt
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   753
  in
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   754
    (fold Symtab.update_new (fs ~~ (tys ~~ map Free (fs' ~~ Ts))) pfuns,
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   755
     Element.Fixes (map2 (fn s => fn T =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   756
       (Binding.name s, SOME T, NoSyn)) fs' Ts),
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   757
     (tab, ctxt'))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   758
  end;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   759
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   760
fun add_proof_fun prep (s, (optty, raw_t)) thy =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   761
  VCs.map (fn
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   762
      {env = SOME {proving = true, ...}, ...} => err_unfinished ()
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   763
    | {pfuns, type_map, env} =>
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   764
        let
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   765
          val optty' = (case env of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   766
              SOME {funs, ...} => lookup funs s
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   767
            | NONE => NONE);
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   768
          val optty'' = NONE |> upd_option optty |> upd_option optty';
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   769
          val t = prep (Option.map (pfun_type thy) optty'') raw_t;
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   770
          val _ = (case fold_aterms (fn u =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   771
              if is_Var u orelse is_Free u then insert (op =) u else I) t [] of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   772
              [] => ()
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   773
            | ts => error ("Term\n" ^ Syntax.string_of_term_global thy t ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   774
                "\nto be associated with proof function " ^ s ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   775
                " contains free variable(s) " ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   776
                commas (map (Syntax.string_of_term_global thy) ts)));
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   777
        in
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   778
          (check_pfun_type thy s t optty optty';
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   779
           if is_some optty'' orelse is_none env then
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   780
             {pfuns = Symtab.update_new (s, (optty'', t)) pfuns,
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   781
              type_map = type_map,
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   782
              env = env}
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   783
               handle Symtab.DUP _ => error ("Proof function " ^ s ^
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   784
                 " already associated with function")
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   785
           else error ("Undeclared proof function " ^ s))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   786
        end) thy;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   787
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   788
fun add_type (s, T as Type (tyname, Ts)) thy =
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   789
      thy |>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   790
      VCs.map (fn
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   791
          {env = SOME _, ...} => err_unfinished ()
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   792
        | {pfuns, type_map, env} =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   793
            {pfuns = pfuns,
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   794
             type_map = Symtab.update_new (s, T) type_map,
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   795
             env = env}
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   796
              handle Symtab.DUP _ => error ("SPARK type " ^ s ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   797
                " already associated with type")) |>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   798
      (fn thy' =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   799
         case Datatype_Data.get_constrs thy' tyname of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   800
           NONE => thy'
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   801
         | SOME cs =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   802
             if null Ts then
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   803
               (map
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   804
                  (fn (_, Type (_, [])) => ()
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   805
                    | (cname, _) => assoc_ty_err thy T s
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   806
                        ("has illegal constructor " ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   807
                         Long_Name.base_name cname)) cs;
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   808
                add_enum_type s tyname thy')
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   809
             else assoc_ty_err thy T s "is illegal")
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   810
  | add_type (s, T) thy = assoc_ty_err thy T s "is illegal";
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   811
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   812
val is_closed = is_none o #env o VCs.get;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   813
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   814
fun lookup_vc thy name =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   815
  (case VCs.get thy of
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   816
    {env = SOME {vcs, types, funs, ids, ctxt, ...}, pfuns, ...} =>
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   817
      (case VCtab.lookup vcs name of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   818
         SOME vc =>           
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   819
           let val (pfuns', ctxt', ids') =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   820
             declare_missing_pfuns thy funs pfuns vcs ids
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   821
           in SOME (ctxt @ [ctxt'], mk_vc thy types funs pfuns' ids' vc) end
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   822
       | NONE => NONE)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   823
  | _ => NONE);
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   824
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   825
fun get_vcs thy = (case VCs.get thy of
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   826
    {env = SOME {vcs, types, funs, ids, ctxt, defs, ...}, pfuns, ...} =>
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   827
      let val (pfuns', ctxt', ids') =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   828
        declare_missing_pfuns thy funs pfuns vcs ids
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   829
      in
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   830
        (ctxt @ [ctxt'], defs,
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   831
         VCtab.dest vcs |>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   832
         map (apsnd (mk_vc thy types funs pfuns' ids')))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   833
      end
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   834
  | _ => ([], [], []));
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   835
41896
582cccdda0ed spark_end now joins proofs of VCs before writing *.prv file.
berghofe
parents: 41878
diff changeset
   836
fun mark_proved name thms = VCs.map (fn
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   837
    {pfuns, type_map,
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   838
     env = SOME {ctxt, defs, types, funs, ids, vcs, path, ...}} =>
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   839
      {pfuns = pfuns,
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   840
       type_map = type_map,
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   841
       env = SOME {ctxt = ctxt, defs = defs,
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   842
         types = types, funs = funs, ids = ids,
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   843
         proving = true,
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   844
         vcs = VCtab.map_entry name (fn (trace, _, ps, cs) =>
41896
582cccdda0ed spark_end now joins proofs of VCs before writing *.prv file.
berghofe
parents: 41878
diff changeset
   845
           (trace, SOME thms, ps, cs)) vcs,
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   846
         path = path}}
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   847
  | x => x);
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   848
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   849
fun close thy =
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   850
  thy |>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   851
  VCs.map (fn
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   852
      {pfuns, type_map, env = SOME {vcs, path, ...}} =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   853
        (case VCtab.fold_rev (fn vc as (_, (_, p, _, _)) =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   854
             (if is_some p then apfst else apsnd) (cons vc)) vcs ([], []) of
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   855
           (proved, []) =>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   856
             (Thm.join_proofs (maps (the o #2 o snd) proved);
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   857
              File.write (Path.ext "prv" path)
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   858
                (concat (map (fn (s, _) => snd (strip_number s) ^
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   859
                   " -- proved by " ^ Distribution.version ^ "\n") proved));
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   860
              {pfuns = pfuns, type_map = type_map, env = NONE})
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   861
         | (_, unproved) => err_vcs (map fst unproved))
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   862
    | _ => error "No SPARK environment is currently open") |>
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   863
  Sign.parent_path;
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   864
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   865
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   866
(** set up verification conditions **)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   867
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   868
fun partition_opt f =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   869
  let
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   870
    fun part ys zs [] = (rev ys, rev zs)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   871
      | part ys zs (x :: xs) = (case f x of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   872
            SOME y => part (y :: ys) zs xs
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   873
          | NONE => part ys (x :: zs) xs)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   874
  in part [] [] end;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   875
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   876
fun dest_def (id, (Substitution_Rule ([], Ident s, rhs))) = SOME (id, (s, rhs))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   877
  | dest_def _ = NONE;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   878
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   879
fun mk_rulename (s, i) = Binding.name (s ^ string_of_int i);
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   880
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   881
fun add_const (s, ty) ((tab, ctxt), thy) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   882
  let
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   883
    val T = mk_type thy ty;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   884
    val b = Binding.name s;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   885
    val c = Const (Sign.full_name thy b, T)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   886
  in
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   887
    (c,
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   888
     ((Symtab.update (s, (c, ty)) tab, Name.declare s ctxt),
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   889
      Sign.add_consts_i [(b, T, NoSyn)] thy))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   890
  end;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   891
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   892
fun add_def types funs pfuns consts (id, (s, e)) (ids as (tab, ctxt), thy) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   893
  (case lookup consts s of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   894
     SOME ty =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   895
       let
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   896
         val (t, ty') = term_of_expr thy types funs pfuns ids e;
41878
0778ade00b06 - Made sure that sort_defs is aware of constants introduced by add_type_def
berghofe
parents: 41635
diff changeset
   897
         val T = mk_type thy ty;
0778ade00b06 - Made sure that sort_defs is aware of constants introduced by add_type_def
berghofe
parents: 41635
diff changeset
   898
         val T' = mk_type thy ty';
0778ade00b06 - Made sure that sort_defs is aware of constants introduced by add_type_def
berghofe
parents: 41635
diff changeset
   899
         val _ = T = T' orelse
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   900
           error ("Declared type " ^ ty ^ " of " ^ s ^
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   901
             "\ndoes not match type " ^ ty' ^ " in definition");
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   902
         val id' = mk_rulename id;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   903
         val lthy = Named_Target.theory_init thy;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   904
         val ((t', (_, th)), lthy') = Specification.definition
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   905
           (NONE, ((id', []), HOLogic.mk_Trueprop (HOLogic.mk_eq
41878
0778ade00b06 - Made sure that sort_defs is aware of constants introduced by add_type_def
berghofe
parents: 41635
diff changeset
   906
             (Free (s, T), t)))) lthy;
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   907
         val phi = ProofContext.export_morphism lthy' lthy
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   908
       in
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   909
         ((id', Morphism.thm phi th),
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   910
          ((Symtab.update (s, (Morphism.term phi t', ty)) tab,
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   911
            Name.declare s ctxt),
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   912
           Local_Theory.exit_global lthy'))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   913
       end
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   914
   | NONE => error ("Undeclared constant " ^ s));
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   915
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   916
fun add_var (s, ty) (ids, thy) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   917
  let val ([Free p], ids') = mk_variables thy [s] ty ids
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   918
  in (p, (ids', thy)) end;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   919
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   920
fun add_init_vars vcs (ids_thy as ((tab, _), _)) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   921
  fold_map add_var
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   922
    (map_filter
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   923
       (fn s => case try (unsuffix "~") s of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   924
          SOME s' => (case Symtab.lookup tab s' of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   925
            SOME (_, ty) => SOME (s, ty)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   926
          | NONE => error ("Undeclared identifier " ^ s'))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   927
        | NONE => NONE)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   928
       (fold_vcs (add_expr_idents o snd) vcs []))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   929
    ids_thy;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   930
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   931
fun is_trivial_vc ([], [(_, Ident "true")]) = true
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   932
  | is_trivial_vc _ = false;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   933
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   934
fun rulenames rules = commas
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   935
  (map (fn ((s, i), _) => s ^ "(" ^ string_of_int i ^ ")") rules);
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   936
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   937
(* sort definitions according to their dependency *)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   938
fun sort_defs _ _ [] sdefs = rev sdefs
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   939
  | sort_defs pfuns consts defs sdefs =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   940
      (case find_first (fn (_, (_, e)) =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   941
         forall (Symtab.defined pfuns) (add_expr_pfuns e []) andalso
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   942
         forall (fn id =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   943
           member (fn (s, (_, (s', _))) => s = s') sdefs id orelse
41878
0778ade00b06 - Made sure that sort_defs is aware of constants introduced by add_type_def
berghofe
parents: 41635
diff changeset
   944
           consts id)
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   945
             (add_expr_idents e [])) defs of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   946
         SOME d => sort_defs pfuns consts
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   947
           (remove (op =) d defs) (d :: sdefs)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   948
       | NONE => error ("Bad definitions: " ^ rulenames defs));
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   949
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   950
fun set_vcs ({types, vars, consts, funs} : decls)
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   951
      (rules, _) ((_, ident), vcs) path thy =
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   952
  let
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   953
    val {pfuns, ...} = VCs.get thy;
41878
0778ade00b06 - Made sure that sort_defs is aware of constants introduced by add_type_def
berghofe
parents: 41635
diff changeset
   954
    val (defs, rules') = partition_opt dest_def rules;
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   955
    val consts' =
41878
0778ade00b06 - Made sure that sort_defs is aware of constants introduced by add_type_def
berghofe
parents: 41635
diff changeset
   956
      subtract (fn ((_, (s, _)), (s', _)) => s = s') defs (items consts);
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   957
    (* ignore all complex rules in rls files *)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   958
    val (rules'', other_rules) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   959
      List.partition (complex_rule o snd) rules';
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   960
    val _ = if null rules'' then ()
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   961
      else warning ("Ignoring rules: " ^ rulenames rules'');
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   962
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   963
    val vcs' = VCtab.make (maps (fn (tr, vcs) =>
41896
582cccdda0ed spark_end now joins proofs of VCs before writing *.prv file.
berghofe
parents: 41878
diff changeset
   964
      map (fn (s, (ps, cs)) => (s, (tr, NONE, ps, cs)))
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   965
        (filter_out (is_trivial_vc o snd) vcs)) vcs);
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   966
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   967
    val _ = (case filter_out (is_some o lookup funs)
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   968
        (pfuns_of_vcs pfuns vcs') of
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   969
        [] => ()
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   970
      | fs => error ("Undeclared proof function(s) " ^ commas fs));
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   971
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   972
    val (((defs', vars''), ivars), (ids, thy')) =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   973
      ((Symtab.empty |>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   974
        Symtab.update ("false", (HOLogic.false_const, booleanN)) |>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   975
        Symtab.update ("true", (HOLogic.true_const, booleanN)),
42356
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   976
        Name.context),
e8777e3ea6ef Added command for associating user-defined types with SPARK types.
berghofe
parents: 41896
diff changeset
   977
       thy |> Sign.add_path (Long_Name.base_name ident)) |>
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   978
      fold add_type_def (items types) |>
41878
0778ade00b06 - Made sure that sort_defs is aware of constants introduced by add_type_def
berghofe
parents: 41635
diff changeset
   979
      fold (snd oo add_const) consts' |> (fn ids_thy as ((tab, _), _) =>
0778ade00b06 - Made sure that sort_defs is aware of constants introduced by add_type_def
berghofe
parents: 41635
diff changeset
   980
        ids_thy |>
0778ade00b06 - Made sure that sort_defs is aware of constants introduced by add_type_def
berghofe
parents: 41635
diff changeset
   981
        fold_map (add_def types funs pfuns consts)
0778ade00b06 - Made sure that sort_defs is aware of constants introduced by add_type_def
berghofe
parents: 41635
diff changeset
   982
          (sort_defs pfuns (Symtab.defined tab) defs []) ||>>
0778ade00b06 - Made sure that sort_defs is aware of constants introduced by add_type_def
berghofe
parents: 41635
diff changeset
   983
        fold_map add_var (items vars) ||>>
0778ade00b06 - Made sure that sort_defs is aware of constants introduced by add_type_def
berghofe
parents: 41635
diff changeset
   984
        add_init_vars vcs');
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   985
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   986
    val ctxt =
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   987
      [Element.Fixes (map (fn (s, T) =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   988
         (Binding.name s, SOME T, NoSyn)) (vars'' @ ivars)),
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   989
       Element.Assumes (map (fn (id, rl) =>
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   990
         ((mk_rulename id, []),
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   991
          [(term_of_rule thy' types funs pfuns ids rl, [])]))
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   992
           other_rules),
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   993
       Element.Notes (Thm.definitionK,
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   994
         [((Binding.name "defns", []), map (rpair [] o single o snd) defs')])]
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   995
          
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   996
  in
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   997
    set_env {ctxt = ctxt, defs = defs', types = types, funs = funs,
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   998
      ids = ids, proving = false, vcs = vcs', path = path} thy'
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
   999
  end;
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
  1000
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
  1001
end;