Nominal-General/nominal_library.ML
author Christian Urban <urbanc@in.tum.de>
Thu, 20 May 2010 21:23:53 +0100
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(*  Title:      nominal_library.ML
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    Author:     Christian Urban
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  Basic functions for nominal.
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*)
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signature NOMINAL_LIBRARY =
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sig
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  val dest_listT: typ -> typ
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  val mk_minus: term -> term
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  val mk_plus: term -> term -> term
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  val perm_ty: typ -> typ 
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  val mk_perm_ty: typ -> term -> term -> term
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  val mk_perm: term -> term -> term
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  val dest_perm: term -> term * term
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  val mk_sort_of: term -> term
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  val atom_ty: typ -> typ
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  val mk_atom_ty: typ -> term -> term
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  val mk_atom: term -> term
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  val supp_ty: typ -> typ
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  val mk_supp_ty: typ -> term -> term
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  val mk_supp: term -> term
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  val mk_equiv: thm -> thm
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  val safe_mk_equiv: thm -> thm
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  (* datatype operations *)
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  val nth_dtyp: Datatype_Aux.descr -> (string * sort) list -> int -> typ
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  val all_dtyp_constrs_types: Datatype_Aux.descr -> (string * sort) list -> 
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    (term * typ * typ list) list list
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  val nth_dtyp_constrs_types: Datatype_Aux.descr -> (string * sort) list -> int -> 
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    (term * typ * typ list) list
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  val prefix_dt_names: Datatype_Aux.descr -> (string * sort) list -> string -> string list
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end
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structure Nominal_Library: NOMINAL_LIBRARY =
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struct
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(* this function should be in hologic.ML *)
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fun dest_listT (Type (@{type_name list}, [T])) = T
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  | dest_listT T = raise TYPE ("dest_listT: list type expected", [T], [])
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fun mk_minus p = @{term "uminus::perm => perm"} $ p;
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fun mk_plus p q = @{term "plus::perm => perm => perm"} $ p $ q;
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fun perm_ty ty = @{typ "perm"} --> ty --> ty; 
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fun mk_perm_ty ty p trm = Const (@{const_name "permute"}, perm_ty ty) $ p $ trm;
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fun mk_perm p trm = mk_perm_ty (fastype_of trm) p trm;
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fun dest_perm (Const (@{const_name "permute"}, _) $ p $ t) = (p, t)
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  | dest_perm t = raise TERM ("dest_perm", [t]);
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fun mk_sort_of t = @{term "sort_of"} $ t;
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fun atom_ty ty = ty --> @{typ "atom"};
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fun mk_atom_ty ty t = Const (@{const_name "atom"}, atom_ty ty) $ t;
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fun mk_atom t = mk_atom_ty (fastype_of t) t;
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fun supp_ty ty = ty --> @{typ "atom set"};
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fun mk_supp_ty ty t = Const (@{const_name "supp"}, supp_ty ty) $ t;
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fun mk_supp t = mk_supp_ty (fastype_of t) t;
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fun mk_equiv r = r RS @{thm eq_reflection};
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fun safe_mk_equiv r = mk_equiv r handle Thm.THM _ => r;
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(** datatypes **)
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(* returns the type of the nth datatype *)
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fun nth_dtyp descr sorts n = 
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  Datatype_Aux.typ_of_dtyp descr sorts (Datatype_Aux.DtRec n);
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(* returns info about constructors in a datatype *)
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fun all_dtyp_constrs_info descr = 
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  map (fn (_, (ty, vs, constrs)) => map (pair (ty, vs)) constrs) descr
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(* returns the constants of the constructors plus the 
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   corresponding type and types of arguments *)
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fun all_dtyp_constrs_types descr sorts = 
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let
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  fun aux ((ty_name, vs), (cname, args)) =
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  let
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    val vs_tys = map (Datatype_Aux.typ_of_dtyp descr sorts) vs
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    val ty = Type (ty_name, vs_tys)
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    val arg_tys = map (Datatype_Aux.typ_of_dtyp descr sorts) args
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  in
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    (Const (cname, arg_tys ---> ty), ty, arg_tys)
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  end
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in
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  map (map aux) (all_dtyp_constrs_info descr)
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end
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fun nth_dtyp_constrs_types descr sorts n =
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  nth (all_dtyp_constrs_types descr sorts) n
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(* generates for every datatype a name str ^ dt_name 
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   plus and index for multiple occurences of a string *)
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fun prefix_dt_names descr sorts str = 
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let
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  fun get_nth_name (i, _) = 
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    Datatype_Aux.name_of_typ (nth_dtyp descr sorts i) 
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in
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  Datatype_Prop.indexify_names 
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    (map (prefix str o get_nth_name) descr)
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Christian Urban <urbanc@in.tum.de>
parents: 1979
diff changeset
   117
end
3b83960f9544 new fv/fv_bn function (supp breaks now); exported raw perms and raw funs into separate ML-files
Christian Urban <urbanc@in.tum.de>
parents: 1979
diff changeset
   118
3b83960f9544 new fv/fv_bn function (supp breaks now); exported raw perms and raw funs into separate ML-files
Christian Urban <urbanc@in.tum.de>
parents: 1979
diff changeset
   119
1833
2050b5723c04 added a library for basic nominal functions; separated nominal_eqvt file
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   120
end (* structure *)
2050b5723c04 added a library for basic nominal functions; separated nominal_eqvt file
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   121
2050b5723c04 added a library for basic nominal functions; separated nominal_eqvt file
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   122
open Nominal_Library;