src/Pure/logic.ML
author wenzelm
Mon Jun 05 21:54:21 2006 +0200 (2006-06-05)
changeset 19775 06cb6743adf6
parent 19425 e0d7d9373faf
child 19806 f860b7a98445
permissions -rw-r--r--
support embedded terms;
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(*  Title:      Pure/logic.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
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    Copyright   Cambridge University 1992
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Abstract syntax operations of the Pure meta-logic.
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*)
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signature LOGIC =
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sig
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  val is_all: term -> bool
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  val dest_all: term -> typ * term
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  val mk_equals: term * term -> term
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  val dest_equals: term -> term * term
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  val is_equals: term -> bool
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  val mk_implies: term * term -> term
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  val dest_implies: term -> term * term
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  val is_implies: term -> bool
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  val list_implies: term list * term -> term
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  val strip_imp_prems: term -> term list
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  val strip_imp_concl: term -> term
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  val strip_prems: int * term list * term -> term list * term
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  val count_prems: term * int -> int
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  val nth_prem: int * term -> term
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  val conjunction: term
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  val mk_conjunction: term * term -> term
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  val mk_conjunction_list: term list -> term
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  val mk_conjunction_list2: term list list -> term
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  val dest_conjunction: term -> term * term
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  val dest_conjunction_list: term -> term list
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  val dest_conjunctions: term -> term list
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  val strip_horn: term -> term list * term
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  val dest_type: term -> typ
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  val const_of_class: class -> string
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  val class_of_const: string -> class
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  val mk_inclass: typ * class -> term
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  val dest_inclass: term -> typ * class
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  val mk_classrel: class * class -> term
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  val dest_classrel: term -> class * class
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  val mk_arities: string * sort list * sort -> term list
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  val dest_arity: term -> string * sort list * class
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  val dest_def: Pretty.pp -> (term -> bool) -> (string -> bool) -> (string -> bool) ->
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    term -> (term * term) * term
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  val abs_def: term -> term * term
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  val mk_cond_defpair: term list -> term * term -> string * term
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  val mk_defpair: term * term -> string * term
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  val mk_type: typ -> term
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  val protectC: term
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  val protect: term -> term
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  val unprotect: term -> term
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  val mk_term: term -> term
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  val dest_term: term -> term
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  val occs: term * term -> bool
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  val close_form: term -> term
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  val combound: term * int * int -> term
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  val rlist_abs: (string * typ) list * term -> term
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  val incr_indexes: typ list * int -> term -> term
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  val incr_tvar: int -> typ -> typ
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  val lift_abs: int -> term -> term -> term
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  val lift_all: int -> term -> term -> term
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  val strip_assums_hyp: term -> term list
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  val strip_assums_concl: term -> term
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  val strip_params: term -> (string * typ) list
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  val has_meta_prems: term -> int -> bool
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  val flatten_params: int -> term -> term
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  val auto_rename: bool ref
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  val set_rename_prefix: string -> unit
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  val list_rename_params: string list * term -> term
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  val assum_pairs: int * term -> (term*term)list
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  val varify: term -> term
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  val unvarify: term -> term
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  val get_goal: term -> int -> term
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  val goal_params: term -> int -> term * term list
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  val prems_of_goal: term -> int -> term list
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  val concl_of_goal: term -> int -> term
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end;
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structure Logic : LOGIC =
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struct
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(*** Abstract syntax operations on the meta-connectives ***)
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(** all **)
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fun is_all (Const ("all", _) $ _) = true
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  | is_all _ = false;
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fun dest_all (Const ("all", Type ("fun", [Type ("fun", [T, _]), _])) $ A) = (T, A)
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  | dest_all t = raise TERM ("dest_all", [t]);
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(** equality **)
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(*Make an equality.  DOES NOT CHECK TYPE OF u*)
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fun mk_equals(t,u) = equals(fastype_of t) $ t $ u;
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fun dest_equals (Const("==",_) $ t $ u)  =  (t,u)
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  | dest_equals t = raise TERM("dest_equals", [t]);
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fun is_equals (Const ("==", _) $ _ $ _) = true
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  | is_equals _ = false;
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(** implies **)
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fun mk_implies(A,B) = implies $ A $ B;
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fun dest_implies (Const("==>",_) $ A $ B)  =  (A,B)
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  | dest_implies A = raise TERM("dest_implies", [A]);
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fun is_implies (Const ("==>", _) $ _ $ _) = true
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  | is_implies _ = false;
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(** nested implications **)
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(* [A1,...,An], B  goes to  A1==>...An==>B  *)
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fun list_implies ([], B) = B
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  | list_implies (A::As, B) = implies $ A $ list_implies(As,B);
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(* A1==>...An==>B  goes to  [A1,...,An], where B is not an implication *)
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fun strip_imp_prems (Const("==>", _) $ A $ B) = A :: strip_imp_prems B
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  | strip_imp_prems _ = [];
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(* A1==>...An==>B  goes to B, where B is not an implication *)
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fun strip_imp_concl (Const("==>", _) $ A $ B) = strip_imp_concl B
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  | strip_imp_concl A = A : term;
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(*Strip and return premises: (i, [], A1==>...Ai==>B)
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    goes to   ([Ai, A(i-1),...,A1] , B)         (REVERSED)
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  if  i<0 or else i too big then raises  TERM*)
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fun strip_prems (0, As, B) = (As, B)
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  | strip_prems (i, As, Const("==>", _) $ A $ B) =
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        strip_prems (i-1, A::As, B)
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  | strip_prems (_, As, A) = raise TERM("strip_prems", A::As);
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(*Count premises -- quicker than (length o strip_prems) *)
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fun count_prems (Const("==>", _) $ A $ B, n) = count_prems (B,n+1)
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  | count_prems (_,n) = n;
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(*Select Ai from A1 ==>...Ai==>B*)
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fun nth_prem (1, Const ("==>", _) $ A $ _) = A
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  | nth_prem (i, Const ("==>", _) $ _ $ B) = nth_prem (i - 1, B)
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  | nth_prem (_, A) = raise TERM ("nth_prem", [A]);
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(*strip a proof state (Horn clause):
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  B1 ==> ... Bn ==> C   goes to   ([B1, ..., Bn], C)    *)
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fun strip_horn A = (strip_imp_prems A, strip_imp_concl A);
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(** conjunction **)
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val conjunction = Const ("ProtoPure.conjunction", propT --> propT --> propT);
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(*A && B*)
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fun mk_conjunction (A, B) = conjunction $ A $ B;
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(*A && B && C -- improper*)
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fun mk_conjunction_list [] = Term.all propT $ Abs ("dummy", propT, mk_implies (Bound 0, Bound 0))
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  | mk_conjunction_list ts = foldr1 mk_conjunction ts;
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(*(A1 && B1 && C1) && (A2 && B2 && C2 && D2) && A3 && B3 -- improper*)
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fun mk_conjunction_list2 tss =
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  mk_conjunction_list (map mk_conjunction_list (filter_out null tss));
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(*A && B*)
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fun dest_conjunction (Const ("ProtoPure.conjunction", _) $ A $ B) = (A, B)
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  | dest_conjunction t = raise TERM ("dest_conjunction", [t]);
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(*A && B && C -- improper*)
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fun dest_conjunction_list t =
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  (case try dest_conjunction t of
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    NONE => [t]
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  | SOME (A, B) => A :: dest_conjunction_list B);
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(*((A && B) && C) && D && E -- flat*)
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fun dest_conjunctions t =
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  (case try dest_conjunction t of
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    NONE => [t]
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  | SOME (A, B) => dest_conjunctions A @ dest_conjunctions B);
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(** types as terms **)
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fun mk_type ty = Const ("TYPE", Term.itselfT ty);
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fun dest_type (Const ("TYPE", Type ("itself", [ty]))) = ty
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  | dest_type t = raise TERM ("dest_type", [t]);
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(** type classes **)
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(* const names *)
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val classN = "_class";
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val const_of_class = suffix classN;
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fun class_of_const c = unsuffix classN c
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  handle Fail _ => raise TERM ("class_of_const: bad name " ^ quote c, []);
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(* class constraints *)
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fun mk_inclass (ty, c) =
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  Const (const_of_class c, Term.itselfT ty --> propT) $ mk_type ty;
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fun dest_inclass (t as Const (c_class, _) $ ty) = (dest_type ty, class_of_const c_class)
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  | dest_inclass t = raise TERM ("dest_inclass", [t]);
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(* class relations *)
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fun mk_classrel (c1, c2) = mk_inclass (Term.aT [c1], c2);
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fun dest_classrel tm =
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  (case dest_inclass tm of
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    (TVar (_, [c1]), c2) => (c1, c2)
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  | _ => raise TERM ("dest_classrel", [tm]));
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(* type arities *)
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fun mk_arities (t, Ss, S) =
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  let val T = Type (t, ListPair.map TFree (Term.invent_names [] "'a" (length Ss), Ss))
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  in map (fn c => mk_inclass (T, c)) S end;
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fun dest_arity tm =
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  let
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    fun err () = raise TERM ("dest_arity", [tm]);
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    val (ty, c) = dest_inclass tm;
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    val (t, tvars) =
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      (case ty of
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        Type (t, tys) => (t, map dest_TVar tys handle TYPE _ => err ())
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      | _ => err ());
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    val Ss =
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      if has_duplicates (eq_fst (op =)) tvars then err ()
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      else map snd tvars;
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  in (t, Ss, c) end;
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(** definitions **)
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fun term_kind (Const _) = "existing constant "
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  | term_kind (Free _) = "free variable "
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  | term_kind (Bound _) = "bound variable "
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  | term_kind _ = "";
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(*c x == t[x] to !!x. c x == t[x]*)
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fun dest_def pp check_head is_fixed is_fixedT eq =
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  let
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    fun err msg = raise TERM (msg, [eq]);
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    val eq_vars = Term.strip_all_vars eq;
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    val eq_body = Term.strip_all_body eq;
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    val display_terms = commas_quote o map (Pretty.string_of_term pp o Syntax.bound_vars eq_vars);
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    val display_types = commas_quote o map (Pretty.string_of_typ pp);
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    val (raw_lhs, rhs) = dest_equals eq_body handle TERM _ => err "Not a meta-equality (==)";
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    val lhs = Envir.beta_eta_contract raw_lhs;
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    val (head, args) = Term.strip_comb lhs;
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    val head_tfrees = Term.add_tfrees head [];
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    fun check_arg (Bound _) = true
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      | check_arg (Free (x, _)) = not (is_fixed x)
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      | check_arg (Const ("TYPE", Type ("itself", [TFree _]))) = true
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      | check_arg _ = false;
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    fun close_arg (Bound _) t = t
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      | close_arg x t = Term.all (Term.fastype_of x) $ lambda x t;
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    val lhs_bads = filter_out check_arg args;
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    val lhs_dups = duplicates (op aconv) args;
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    val rhs_extras = Term.fold_aterms (fn v as Free (x, _) =>
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      if is_fixed x orelse member (op aconv) args v then I
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      else insert (op aconv) v | _ => I) rhs [];
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    val rhs_extrasT = Term.fold_aterms (Term.fold_types (fn v as TFree (a, S) =>
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      if is_fixedT a orelse member (op =) head_tfrees (a, S) then I
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      else insert (op =) v | _ => I)) rhs [];
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  in
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    if not (check_head head) then
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      err ("Bad head of lhs: " ^ term_kind head ^ display_terms [head])
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    else if not (null lhs_bads) then
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      err ("Bad arguments on lhs: " ^ display_terms lhs_bads)
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    else if not (null lhs_dups) then
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      err ("Duplicate arguments on lhs: " ^ display_terms lhs_dups)
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    else if not (null rhs_extras) then
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      err ("Extra variables on rhs: " ^ display_terms rhs_extras)
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    else if not (null rhs_extrasT) then
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      err ("Extra type variables on rhs: " ^ display_types rhs_extrasT)
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    else if exists_subterm (fn t => t aconv head) rhs then
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      err "Entity to be defined occurs on rhs"
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    else ((lhs, rhs), fold_rev close_arg args (Term.list_all (eq_vars, (mk_equals (lhs, rhs)))))
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  end;
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(*!!x. c x == t[x] to c == %x. t[x]*)
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fun abs_def eq =
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  let
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    val body = Term.strip_all_body eq;
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    val vars = map Free (Term.rename_wrt_term body (Term.strip_all_vars eq));
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    val (lhs, rhs) = dest_equals (Term.subst_bounds (vars, body));
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    val (lhs', args) = Term.strip_comb lhs;
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    val rhs' = Term.list_abs_free (map Term.dest_Free args, rhs);
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  in (lhs', rhs') end;
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fun mk_cond_defpair As (lhs, rhs) =
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  (case Term.head_of lhs of
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    Const (name, _) =>
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      (NameSpace.base name ^ "_def", list_implies (As, mk_equals (lhs, rhs)))
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  | _ => raise TERM ("Malformed definition: head of lhs not a constant", [lhs, rhs]));
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fun mk_defpair lhs_rhs = mk_cond_defpair [] lhs_rhs;
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(** protected propositions and embedded terms **)
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val protectC = Const ("prop", propT --> propT);
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fun protect t = protectC $ t;
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fun unprotect (Const ("prop", _) $ t) = t
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  | unprotect t = raise TERM ("unprotect", [t]);
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fun mk_term t = Const ("ProtoPure.term", Term.fastype_of t --> propT) $ t;
wenzelm@19775
   331
wenzelm@19775
   332
fun dest_term (Const ("ProtoPure.term", _) $ t) = t
wenzelm@19775
   333
  | dest_term t = raise TERM ("dest_term", [t]);
wenzelm@19775
   334
wenzelm@19775
   335
wenzelm@18181
   336
clasohm@0
   337
(*** Low-level term operations ***)
clasohm@0
   338
clasohm@0
   339
(*Does t occur in u?  Or is alpha-convertible to u?
clasohm@0
   340
  The term t must contain no loose bound variables*)
wenzelm@16846
   341
fun occs (t, u) = exists_subterm (fn s => t aconv s) u;
clasohm@0
   342
clasohm@0
   343
(*Close up a formula over all free variables by quantification*)
clasohm@0
   344
fun close_form A =
wenzelm@19425
   345
  Term.list_all_free (rev (Term.add_frees A []), A);
clasohm@0
   346
clasohm@0
   347
wenzelm@18938
   348
clasohm@0
   349
(*** Specialized operations for resolution... ***)
clasohm@0
   350
wenzelm@18938
   351
(*computes t(Bound(n+k-1),...,Bound(n))  *)
wenzelm@18938
   352
fun combound (t, n, k) =
wenzelm@18938
   353
    if  k>0  then  combound (t,n+1,k-1) $ (Bound n)  else  t;
wenzelm@18938
   354
wenzelm@18938
   355
(* ([xn,...,x1], t)   ======>   (x1,...,xn)t *)
wenzelm@18938
   356
fun rlist_abs ([], body) = body
wenzelm@18938
   357
  | rlist_abs ((a,T)::pairs, body) = rlist_abs(pairs, Abs(a, T, body));
wenzelm@18938
   358
wenzelm@18938
   359
wenzelm@16879
   360
local exception SAME in
wenzelm@16879
   361
wenzelm@16879
   362
fun incrT k =
wenzelm@16879
   363
  let
wenzelm@16879
   364
    fun incr (TVar ((a, i), S)) = TVar ((a, i + k), S)
wenzelm@16879
   365
      | incr (Type (a, Ts)) = Type (a, incrs Ts)
wenzelm@16879
   366
      | incr _ = raise SAME
wenzelm@16879
   367
    and incrs (T :: Ts) =
wenzelm@16879
   368
        (incr T :: (incrs Ts handle SAME => Ts)
wenzelm@16879
   369
          handle SAME => T :: incrs Ts)
wenzelm@16879
   370
      | incrs [] = raise SAME;
wenzelm@16879
   371
  in incr end;
wenzelm@16879
   372
clasohm@0
   373
(*For all variables in the term, increment indexnames and lift over the Us
clasohm@0
   374
    result is ?Gidx(B.(lev+n-1),...,B.lev) where lev is abstraction level *)
paulson@17120
   375
fun incr_indexes ([], 0) t = t
wenzelm@18029
   376
  | incr_indexes (Ts, k) t =
wenzelm@16879
   377
  let
wenzelm@18029
   378
    val n = length Ts;
wenzelm@16879
   379
    val incrT = if k = 0 then I else incrT k;
wenzelm@16879
   380
wenzelm@16879
   381
    fun incr lev (Var ((x, i), T)) =
wenzelm@18938
   382
          combound (Var ((x, i + k), Ts ---> (incrT T handle SAME => T)), lev, n)
wenzelm@16879
   383
      | incr lev (Abs (x, T, body)) =
wenzelm@16879
   384
          (Abs (x, incrT T, incr (lev + 1) body handle SAME => body)
wenzelm@16879
   385
            handle SAME => Abs (x, T, incr (lev + 1) body))
wenzelm@16879
   386
      | incr lev (t $ u) =
wenzelm@16879
   387
          (incr lev t $ (incr lev u handle SAME => u)
wenzelm@16879
   388
            handle SAME => t $ incr lev u)
wenzelm@16879
   389
      | incr _ (Const (c, T)) = Const (c, incrT T)
wenzelm@16879
   390
      | incr _ (Free (x, T)) = Free (x, incrT T)
wenzelm@16879
   391
      | incr _ (t as Bound _) = t;
wenzelm@16879
   392
  in incr 0 t handle SAME => t end;
wenzelm@16879
   393
wenzelm@16879
   394
fun incr_tvar 0 T = T
wenzelm@16879
   395
  | incr_tvar k T = incrT k T handle SAME => T;
wenzelm@16879
   396
wenzelm@16879
   397
end;
wenzelm@16879
   398
clasohm@0
   399
wenzelm@18248
   400
(* Lifting functions from subgoal and increment:
wenzelm@18029
   401
    lift_abs operates on terms
wenzelm@18029
   402
    lift_all operates on propositions *)
wenzelm@18029
   403
wenzelm@18029
   404
fun lift_abs inc =
wenzelm@18029
   405
  let
wenzelm@18029
   406
    fun lift Ts (Const ("==>", _) $ _ $ B) t = lift Ts B t
wenzelm@18248
   407
      | lift Ts (Const ("all", _) $ Abs (a, T, B)) t = Abs (a, T, lift (T :: Ts) B t)
wenzelm@18029
   408
      | lift Ts _ t = incr_indexes (rev Ts, inc) t;
wenzelm@18029
   409
  in lift [] end;
wenzelm@18029
   410
wenzelm@18029
   411
fun lift_all inc =
wenzelm@18029
   412
  let
wenzelm@18029
   413
    fun lift Ts ((c as Const ("==>", _)) $ A $ B) t = c $ A $ lift Ts B t
wenzelm@18248
   414
      | lift Ts ((c as Const ("all", _)) $ Abs (a, T, B)) t = c $ Abs (a, T, lift (T :: Ts) B t)
wenzelm@18029
   415
      | lift Ts _ t = incr_indexes (rev Ts, inc) t;
wenzelm@18029
   416
  in lift [] end;
clasohm@0
   417
clasohm@0
   418
(*Strips assumptions in goal, yielding list of hypotheses.   *)
clasohm@0
   419
fun strip_assums_hyp (Const("==>", _) $ H $ B) = H :: strip_assums_hyp B
clasohm@0
   420
  | strip_assums_hyp (Const("all",_)$Abs(a,T,t)) = strip_assums_hyp t
clasohm@0
   421
  | strip_assums_hyp B = [];
clasohm@0
   422
clasohm@0
   423
(*Strips assumptions in goal, yielding conclusion.   *)
clasohm@0
   424
fun strip_assums_concl (Const("==>", _) $ H $ B) = strip_assums_concl B
clasohm@0
   425
  | strip_assums_concl (Const("all",_)$Abs(a,T,t)) = strip_assums_concl t
clasohm@0
   426
  | strip_assums_concl B = B;
clasohm@0
   427
clasohm@0
   428
(*Make a list of all the parameters in a subgoal, even if nested*)
clasohm@0
   429
fun strip_params (Const("==>", _) $ H $ B) = strip_params B
clasohm@0
   430
  | strip_params (Const("all",_)$Abs(a,T,t)) = (a,T) :: strip_params t
clasohm@0
   431
  | strip_params B = [];
clasohm@0
   432
wenzelm@9667
   433
(*test for meta connectives in prems of a 'subgoal'*)
wenzelm@9667
   434
fun has_meta_prems prop i =
wenzelm@9667
   435
  let
wenzelm@9667
   436
    fun is_meta (Const ("==>", _) $ _ $ _) = true
wenzelm@10442
   437
      | is_meta (Const ("==", _) $ _ $ _) = true
wenzelm@9667
   438
      | is_meta (Const ("all", _) $ _) = true
wenzelm@9667
   439
      | is_meta _ = false;
wenzelm@9667
   440
  in
berghofe@13659
   441
    (case strip_prems (i, [], prop) of
wenzelm@9667
   442
      (B :: _, _) => exists is_meta (strip_assums_hyp B)
wenzelm@9667
   443
    | _ => false) handle TERM _ => false
wenzelm@9667
   444
  end;
wenzelm@9483
   445
clasohm@0
   446
(*Removes the parameters from a subgoal and renumber bvars in hypotheses,
wenzelm@9460
   447
    where j is the total number of parameters (precomputed)
clasohm@0
   448
  If n>0 then deletes assumption n. *)
wenzelm@9460
   449
fun remove_params j n A =
clasohm@0
   450
    if j=0 andalso n<=0 then A  (*nothing left to do...*)
clasohm@0
   451
    else case A of
wenzelm@9460
   452
        Const("==>", _) $ H $ B =>
wenzelm@9460
   453
          if n=1 then                           (remove_params j (n-1) B)
wenzelm@9460
   454
          else implies $ (incr_boundvars j H) $ (remove_params j (n-1) B)
clasohm@0
   455
      | Const("all",_)$Abs(a,T,t) => remove_params (j-1) n t
clasohm@0
   456
      | _ => if n>0 then raise TERM("remove_params", [A])
clasohm@0
   457
             else A;
clasohm@0
   458
clasohm@0
   459
(** Auto-renaming of parameters in subgoals **)
clasohm@0
   460
clasohm@0
   461
val auto_rename = ref false
clasohm@0
   462
and rename_prefix = ref "ka";
clasohm@0
   463
clasohm@0
   464
(*rename_prefix is not exported; it is set by this function.*)
clasohm@0
   465
fun set_rename_prefix a =
wenzelm@4693
   466
    if a<>"" andalso forall Symbol.is_letter (Symbol.explode a)
clasohm@0
   467
    then  (rename_prefix := a;  auto_rename := true)
clasohm@0
   468
    else  error"rename prefix must be nonempty and consist of letters";
clasohm@0
   469
clasohm@0
   470
(*Makes parameters in a goal have distinctive names (not guaranteed unique!)
clasohm@0
   471
  A name clash could cause the printer to rename bound vars;
clasohm@0
   472
    then res_inst_tac would not work properly.*)
clasohm@0
   473
fun rename_vars (a, []) = []
clasohm@0
   474
  | rename_vars (a, (_,T)::vars) =
wenzelm@12902
   475
        (a,T) :: rename_vars (Symbol.bump_string a, vars);
clasohm@0
   476
clasohm@0
   477
(*Move all parameters to the front of the subgoal, renaming them apart;
clasohm@0
   478
  if n>0 then deletes assumption n. *)
clasohm@0
   479
fun flatten_params n A =
clasohm@0
   480
    let val params = strip_params A;
wenzelm@9460
   481
        val vars = if !auto_rename
wenzelm@9460
   482
                   then rename_vars (!rename_prefix, params)
wenzelm@9460
   483
                   else ListPair.zip (variantlist(map #1 params,[]),
wenzelm@9460
   484
                                      map #2 params)
clasohm@0
   485
    in  list_all (vars, remove_params (length vars) n A)
clasohm@0
   486
    end;
clasohm@0
   487
clasohm@0
   488
(*Makes parameters in a goal have the names supplied by the list cs.*)
clasohm@0
   489
fun list_rename_params (cs, Const("==>", _) $ A $ B) =
clasohm@0
   490
      implies $ A $ list_rename_params (cs, B)
wenzelm@9460
   491
  | list_rename_params (c::cs, Const("all",_)$Abs(_,T,t)) =
clasohm@0
   492
      all T $ Abs(c, T, list_rename_params (cs, t))
clasohm@0
   493
  | list_rename_params (cs, B) = B;
clasohm@0
   494
paulson@15451
   495
(*** Treatmsent of "assume", "erule", etc. ***)
clasohm@0
   496
wenzelm@16879
   497
(*Strips assumptions in goal yielding
paulson@15451
   498
   HS = [Hn,...,H1],   params = [xm,...,x1], and B,
wenzelm@16879
   499
  where x1...xm are the parameters. This version (21.1.2005) REQUIRES
wenzelm@16879
   500
  the the parameters to be flattened, but it allows erule to work on
paulson@15451
   501
  assumptions of the form !!x. phi. Any !! after the outermost string
paulson@15451
   502
  will be regarded as belonging to the conclusion, and left untouched.
paulson@15454
   503
  Used ONLY by assum_pairs.
paulson@15454
   504
      Unless nasms<0, it can terminate the recursion early; that allows
paulson@15454
   505
  erule to work on assumptions of the form P==>Q.*)
paulson@15454
   506
fun strip_assums_imp (0, Hs, B) = (Hs, B)  (*recursion terminated by nasms*)
wenzelm@16879
   507
  | strip_assums_imp (nasms, Hs, Const("==>", _) $ H $ B) =
paulson@15454
   508
      strip_assums_imp (nasms-1, H::Hs, B)
paulson@15454
   509
  | strip_assums_imp (_, Hs, B) = (Hs, B); (*recursion terminated by B*)
paulson@15454
   510
clasohm@0
   511
paulson@15451
   512
(*Strips OUTER parameters only, unlike similar legacy versions.*)
paulson@15451
   513
fun strip_assums_all (params, Const("all",_)$Abs(a,T,t)) =
paulson@15451
   514
      strip_assums_all ((a,T)::params, t)
paulson@15451
   515
  | strip_assums_all (params, B) = (params, B);
clasohm@0
   516
clasohm@0
   517
(*Produces disagreement pairs, one for each assumption proof, in order.
clasohm@0
   518
  A is the first premise of the lifted rule, and thus has the form
paulson@15454
   519
    H1 ==> ... Hk ==> B   and the pairs are (H1,B),...,(Hk,B).
paulson@15454
   520
  nasms is the number of assumptions in the original subgoal, needed when B
paulson@15454
   521
    has the form B1 ==> B2: it stops B1 from being taken as an assumption. *)
paulson@15454
   522
fun assum_pairs(nasms,A) =
paulson@15451
   523
  let val (params, A') = strip_assums_all ([],A)
paulson@15454
   524
      val (Hs,B) = strip_assums_imp (nasms,[],A')
wenzelm@18938
   525
      fun abspar t = rlist_abs(params, t)
paulson@15451
   526
      val D = abspar B
paulson@15451
   527
      fun pairrev ([], pairs) = pairs
paulson@15451
   528
        | pairrev (H::Hs, pairs) = pairrev(Hs,  (abspar H, D) :: pairs)
paulson@15451
   529
  in  pairrev (Hs,[])
clasohm@0
   530
  end;
clasohm@0
   531
wenzelm@18938
   532
(*Converts Frees to Vars and TFrees to TVars*)
wenzelm@16862
   533
fun varify (Const(a, T)) = Const (a, Type.varifyT T)
wenzelm@16862
   534
  | varify (Free (a, T)) = Var ((a, 0), Type.varifyT T)
wenzelm@16862
   535
  | varify (Var (ixn, T)) = Var (ixn, Type.varifyT T)
wenzelm@16862
   536
  | varify (t as Bound _) = t
wenzelm@16862
   537
  | varify (Abs (a, T, body)) = Abs (a, Type.varifyT T, varify body)
wenzelm@16862
   538
  | varify (f $ t) = varify f $ varify t;
clasohm@0
   539
wenzelm@18938
   540
(*Inverse of varify.*)
wenzelm@16862
   541
fun unvarify (Const (a, T)) = Const (a, Type.unvarifyT T)
wenzelm@16862
   542
  | unvarify (Free (a, T)) = Free (a, Type.unvarifyT T)
wenzelm@16862
   543
  | unvarify (Var ((a, 0), T)) = Free (a, Type.unvarifyT T)
wenzelm@16862
   544
  | unvarify (Var (ixn, T)) = Var (ixn, Type.unvarifyT T)  (*non-0 index!*)
wenzelm@16862
   545
  | unvarify (t as Bound _) = t
wenzelm@16862
   546
  | unvarify (Abs (a, T, body)) = Abs (a, Type.unvarifyT T, unvarify body)
wenzelm@16862
   547
  | unvarify (f $ t) = unvarify f $ unvarify t;
lcp@546
   548
berghofe@13799
   549
wenzelm@16862
   550
(* goal states *)
wenzelm@16862
   551
wenzelm@16862
   552
fun get_goal st i = nth_prem (i, st)
wenzelm@16862
   553
  handle TERM _ => error "Goal number out of range";
berghofe@13799
   554
berghofe@13799
   555
(*reverses parameters for substitution*)
berghofe@13799
   556
fun goal_params st i =
berghofe@13799
   557
  let val gi = get_goal st i
berghofe@14137
   558
      val rfrees = map Free (rename_wrt_term gi (strip_params gi))
berghofe@13799
   559
  in (gi, rfrees) end;
berghofe@13799
   560
berghofe@13799
   561
fun concl_of_goal st i =
berghofe@13799
   562
  let val (gi, rfrees) = goal_params st i
berghofe@13799
   563
      val B = strip_assums_concl gi
berghofe@13799
   564
  in subst_bounds (rfrees, B) end;
berghofe@13799
   565
berghofe@13799
   566
fun prems_of_goal st i =
berghofe@13799
   567
  let val (gi, rfrees) = goal_params st i
berghofe@13799
   568
      val As = strip_assums_hyp gi
berghofe@13799
   569
  in map (fn A => subst_bounds (rfrees, A)) As end;
berghofe@13799
   570
clasohm@0
   571
end;