src/Tools/IsaPlanner/rw_tools.ML

+(* -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=- *) 
+(*  Title:      Pure/IsaPlanner/rw_tools.ML
+    ID:		$Id$
+    Author:     Lucas Dixon, University of Edinburgh
+                [e-mail]
+    Created:    28 May 2004
+*)
+(* -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=- *) 
+(*  DESCRIPTION:
+
+    term related tools used for rewriting
+
+*)   
+(* -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=- *)
+
+signature RWTOOLS =
+sig
+end;
+
+structure RWTools 
+= struct
+
+(* fake free variable names for locally bound variables - these work
+as placeholders. *)
+
+(* don't use dest_fake.. - we should instead be working with numbers
+and a list... else we rely on naming conventions which can break, or
+be violated - in contrast list locations are correct by
+construction/definition. *)
+(*
+fun dest_fake_bound_name n = 
+    case (explode n) of 
+      (":" :: realchars) => implode realchars
+    | _ => n; *)
+fun is_fake_bound_name n = (hd (explode n) = ":");
+fun mk_fake_bound_name n = ":b_" ^ n;
+
+
+
+(* fake free variable names for local meta variables - these work
+as placeholders. *)
+fun dest_fake_fix_name n = 
+    case (explode n) of 
+      ("@" :: realchars) => implode realchars
+    | _ => n;
+fun is_fake_fix_name n = (hd (explode n) = "@");
+fun mk_fake_fix_name n = "@" ^ n;
+
+
+
+(* fake free variable names for meta level bound variables *)
+fun dest_fake_all_name n = 
+    case (explode n) of 
+      ("+" :: realchars) => implode realchars
+    | _ => n;
+fun is_fake_all_name n = (hd (explode n) = "+");
+fun mk_fake_all_name n = "+" ^ n;
+
+
+
+
+(* Ys and Ts not used, Ns are real names of faked local bounds, the
+idea is that this will be mapped to free variables thus if a free
+variable is a faked local bound then we change it to being a meta
+variable so that it can later be instantiated *)
+(* FIXME: rename this - avoid the word fix! *)
+(* note we are not really "fix"'ing the free, more like making it variable! *)
+(* fun trymkvar_of_fakefree (Ns, Ts) Ys (n,ty) = 
+    if n mem Ns then Var((n,0),ty) else Free (n,ty);
+*)
+
+(* make a var into a fixed free (ie prefixed with "@") *)
+fun mk_fakefixvar Ts ((n,i),ty) = Free(mk_fake_fix_name n, ty);
+
+
+(* mk_frees_bound: string list -> Term.term -> Term.term *)
+(* This function changes free variables to being represented as bound
+variables if the free's variable name is in the given list. The debruijn 
+index is simply the position in the list *)
+(* THINKABOUT: danger of an existing free variable with the same name: fix
+this so that name conflict are avoided automatically! In the meantime,
+don't have free variables named starting with a ":" *)
+fun bounds_of_fakefrees Ys (a $ b) = 
+    (bounds_of_fakefrees Ys a) $ (bounds_of_fakefrees Ys b)
+  | bounds_of_fakefrees Ys (Abs(n,ty,t)) = 
+    Abs(n,ty, bounds_of_fakefrees (n::Ys) t)
+  | bounds_of_fakefrees Ys (Free (n,ty)) = 
+    let fun try_mk_bound_of_free (i,[]) = Free (n,ty)
+          | try_mk_bound_of_free (i,(y::ys)) = 
+            if n = y then Bound i else try_mk_bound_of_free (i+1,ys)
+    in try_mk_bound_of_free (0,Ys) end
+  | bounds_of_fakefrees Ys t = t;
+
+
+(* map a function f onto each free variables *)
+fun map_to_frees f Ys (a $ b) = 
+    (map_to_frees f Ys a) $ (map_to_frees f Ys b)
+  | map_to_frees f Ys (Abs(n,ty,t)) = 
+    Abs(n,ty, map_to_frees f ((n,ty)::Ys) t)
+  | map_to_frees f Ys (Free a) = 
+    f Ys a
+  | map_to_frees f Ys t = t;
+
+
+(* map a function f onto each meta variable  *)
+fun map_to_vars f Ys (a $ b) = 
+    (map_to_vars f Ys a) $ (map_to_vars f Ys b)
+  | map_to_vars f Ys (Abs(n,ty,t)) = 
+    Abs(n,ty, map_to_vars f ((n,ty)::Ys) t)
+  | map_to_vars f Ys (Var a) = 
+    f Ys a
+  | map_to_vars f Ys t = t;
+
+(* map a function f onto each free variables *)
+fun map_to_alls f (Const("all",allty) $ Abs(n,ty,t)) = 
+    let val (n2,ty2) = f (n,ty) 
+    in (Const("all",allty) $ Abs(n2,ty2,map_to_alls f t)) end
+  | map_to_alls f x = x;
+
+(* map a function f to each type variable in a term *)
+(* implicit arg: term *)
+fun map_to_term_tvars f =
+    Term.map_types (fn TVar(ix,ty) => f (ix,ty) | x => x);   (* FIXME map_atyps !? *)
+
+
+
+(* what if a param desn't occur in the concl? think about! Note: This
+simply fixes meta level univ bound vars as Frees.  At the end, we will
+change them back to schematic vars that will then unify
+appropriactely, ie with unfake_vars *)
+fun fake_concl_of_goal gt i = 
+    let 
+      val prems = Logic.strip_imp_prems gt
+      val sgt = List.nth (prems, i - 1)
+
+      val tbody = Logic.strip_imp_concl (Term.strip_all_body sgt)
+      val tparams = Term.strip_all_vars sgt
+
+      val fakefrees = map (fn (n, ty) => Free(mk_fake_all_name n, ty)) 
+                          tparams
+    in
+      Term.subst_bounds (rev fakefrees,tbody)
+    end;
+
+(* what if a param desn't occur in the concl? think about! Note: This
+simply fixes meta level univ bound vars as Frees.  At the end, we will
+change them back to schematic vars that will then unify
+appropriactely, ie with unfake_vars *)
+fun fake_goal gt i = 
+    let 
+      val prems = Logic.strip_imp_prems gt
+      val sgt = List.nth (prems, i - 1)
+
+      val tbody = Term.strip_all_body sgt
+      val tparams = Term.strip_all_vars sgt
+
+      val fakefrees = map (fn (n, ty) => Free(mk_fake_all_name n, ty)) 
+                          tparams
+    in
+      Term.subst_bounds (rev fakefrees,tbody)
+    end;
+
+
+(* hand written - for some reason the Isabelle version in drule is broken!
+Example? something to do with Bin Yangs examples? 
+ *)
+fun rename_term_bvars ns (Abs(s,ty,t)) = 
+    let val s2opt = Library.find_first (fn (x,y) => s = x) ns
+    in case s2opt of 
+         NONE => (Abs(s,ty,rename_term_bvars  ns t))
+       | SOME (_,s2) => Abs(s2,ty, rename_term_bvars ns t) end
+  | rename_term_bvars ns (a$b) = 
+    (rename_term_bvars ns a) $ (rename_term_bvars ns b)
+  | rename_term_bvars _ x = x;
+
+fun rename_thm_bvars ns th = 
+    let val t = Thm.prop_of th 
+    in Thm.rename_boundvars t (rename_term_bvars ns t) th end;
+
+(* Finish this to show how it breaks! (raises the exception): 
+
+exception rename_thm_bvars_exp of ((string * string) list * Thm.thm)
+
+    Drule.rename_bvars ns th 
+    handle TERM _ => raise rename_thm_bvars_exp (ns, th); 
+*)
+
+end;