Primitive definition forms.
authorwenzelm
Tue, 14 Aug 2007 13:20:17 +0200
changeset 24259 c9e05c49d02c
parent 24258 2f399483535a
child 24260 d68040094415
Primitive definition forms.
src/Pure/primitive_defs.ML
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/Pure/primitive_defs.ML	Tue Aug 14 13:20:17 2007 +0200
@@ -0,0 +1,88 @@
+(*  Title:      Pure/primitive_defs.ML
+    ID:         $Id$
+    Author:     Makarius
+
+Primitive definition forms.
+*)
+
+signature PRIMITIVE_DEFS =
+sig
+  val dest_def: Pretty.pp -> (term -> bool) -> (string -> bool) -> (string -> bool) ->
+    term -> (term * term) * term
+  val abs_def: term -> term * term
+  val mk_defpair: term * term -> string * term
+end;
+
+structure PrimitiveDefs: PRIMITIVE_DEFS =
+struct
+
+fun term_kind (Const _) = "existing constant "
+  | term_kind (Free _) = "free variable "
+  | term_kind (Bound _) = "bound variable "
+  | term_kind _ = "";
+
+(*c x == t[x] to !!x. c x == t[x]*)
+fun dest_def pp check_head is_fixed is_fixedT eq =
+  let
+    fun err msg = raise TERM (msg, [eq]);
+    val eq_vars = Term.strip_all_vars eq;
+    val eq_body = Term.strip_all_body eq;
+
+    val display_terms =
+      commas_quote o map (Pretty.string_of_term pp o Syntax.bound_vars eq_vars);
+    val display_types = commas_quote o map (Pretty.string_of_typ pp);
+
+    val (raw_lhs, rhs) = Logic.dest_equals eq_body handle TERM _ => err "Not a meta-equality (==)";
+    val lhs = Envir.beta_eta_contract raw_lhs;
+    val (head, args) = Term.strip_comb lhs;
+    val head_tfrees = Term.add_tfrees head [];
+
+    fun check_arg (Bound _) = true
+      | check_arg (Free (x, _)) = not (is_fixed x)
+      | check_arg (Const ("TYPE", Type ("itself", [TFree _]))) = true
+      | check_arg _ = false;
+    fun close_arg (Bound _) t = t
+      | close_arg x t = Term.all (Term.fastype_of x) $ lambda x t;
+
+    val lhs_bads = filter_out check_arg args;
+    val lhs_dups = duplicates (op aconv) args;
+    val rhs_extras = Term.fold_aterms (fn v as Free (x, _) =>
+      if is_fixed x orelse member (op aconv) args v then I
+      else insert (op aconv) v | _ => I) rhs [];
+    val rhs_extrasT = Term.fold_aterms (Term.fold_types (fn v as TFree (a, S) =>
+      if is_fixedT a orelse member (op =) head_tfrees (a, S) then I
+      else insert (op =) v | _ => I)) rhs [];
+  in
+    if not (check_head head) then
+      err ("Bad head of lhs: " ^ term_kind head ^ display_terms [head])
+    else if not (null lhs_bads) then
+      err ("Bad arguments on lhs: " ^ display_terms lhs_bads)
+    else if not (null lhs_dups) then
+      err ("Duplicate arguments on lhs: " ^ display_terms lhs_dups)
+    else if not (null rhs_extras) then
+      err ("Extra variables on rhs: " ^ display_terms rhs_extras)
+    else if not (null rhs_extrasT) then
+      err ("Extra type variables on rhs: " ^ display_types rhs_extrasT)
+    else if exists_subterm (fn t => t aconv head) rhs then
+      err "Entity to be defined occurs on rhs"
+    else
+      ((lhs, rhs), fold_rev close_arg args (Term.list_all (eq_vars, (Logic.mk_equals (lhs, rhs)))))
+  end;
+
+(*!!x. c x == t[x] to c == %x. t[x]*)
+fun abs_def eq =
+  let
+    val body = Term.strip_all_body eq;
+    val vars = map Free (Term.rename_wrt_term body (Term.strip_all_vars eq));
+    val (lhs, rhs) = Logic.dest_equals (Term.subst_bounds (vars, body));
+    val (lhs', args) = Term.strip_comb lhs;
+    val rhs' = Term.list_abs_free (map Term.dest_Free args, rhs);
+  in (lhs', rhs') end;
+
+fun mk_defpair (lhs, rhs) =
+  (case Term.head_of lhs of
+    Const (name, _) =>
+      (NameSpace.base name ^ "_def", Logic.mk_equals (lhs, rhs))
+  | _ => raise TERM ("Malformed definition: head of lhs not a constant", [lhs, rhs]));
+
+end;