src/Provers/splitter.ML
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(*  Title:      Provers/splitter.ML
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    Author:     Tobias Nipkow
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    Copyright   1995  TU Munich
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Generic case-splitter, suitable for most logics.
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Deals with equalities of the form ?P(f args) = ...
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where "f args" must be a first-order term without duplicate variables.
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*)
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signature SPLITTER_DATA =
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sig
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  val thy           : theory
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  val mk_eq         : thm -> thm
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  val meta_eq_to_iff: thm (* "x == y ==> x = y"                      *)
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  val iffD          : thm (* "[| P = Q; Q |] ==> P"                  *)
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  val disjE         : thm (* "[| P | Q; P ==> R; Q ==> R |] ==> R"   *)
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  val conjE         : thm (* "[| P & Q; [| P; Q |] ==> R |] ==> R"   *)
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  val exE           : thm (* "[| EX x. P x; !!x. P x ==> Q |] ==> Q" *)
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  val contrapos     : thm (* "[| ~ Q; P ==> Q |] ==> ~ P"            *)
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  val contrapos2    : thm (* "[| Q; ~ P ==> ~ Q |] ==> P"            *)
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  val notnotD       : thm (* "~ ~ P ==> P"                           *)
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end
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signature SPLITTER =
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sig
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  (* somewhat more internal functions *)
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  val cmap_of_split_thms: thm list -> (string * (typ * term * thm * typ * int) list) list
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  val split_posns: (string * (typ * term * thm * typ * int) list) list ->
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    theory -> typ list -> term -> (thm * (typ * typ * int list) list * int list * typ * term) list
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    (* first argument is a "cmap", returns a list of "split packs" *)
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  (* the "real" interface, providing a number of tactics *)
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  val split_tac       : thm list -> int -> tactic
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  val split_inside_tac: thm list -> int -> tactic
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  val split_asm_tac   : thm list -> int -> tactic
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  val add_split: thm -> Proof.context -> Proof.context
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  val del_split: thm -> Proof.context -> Proof.context
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  val split_add: attribute
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  val split_del: attribute
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  val split_modifiers : Method.modifier parser list
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  val setup: theory -> theory
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end;
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functor Splitter(Data: SPLITTER_DATA): SPLITTER =
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struct
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val Const (const_not, _) $ _ =
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  Object_Logic.drop_judgment Data.thy
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    (#1 (Logic.dest_implies (Thm.prop_of Data.notnotD)));
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val Const (const_or , _) $ _ $ _ =
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  Object_Logic.drop_judgment Data.thy
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    (#1 (Logic.dest_implies (Thm.prop_of Data.disjE)));
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val const_Trueprop = Object_Logic.judgment_name Data.thy;
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fun split_format_err () = error "Wrong format for split rule";
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fun split_thm_info thm = case concl_of (Data.mk_eq thm) of
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     Const(@{const_name Pure.eq}, _) $ (Var _ $ t) $ c => (case strip_comb t of
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       (Const p, _) => (p, case c of (Const (s, _) $ _) => s = const_not | _ => false)
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     | _ => split_format_err ())
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   | _ => split_format_err ();
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fun cmap_of_split_thms thms =
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let
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  val splits = map Data.mk_eq thms
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  fun add_thm thm cmap =
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    (case concl_of thm of _ $ (t as _ $ lhs) $ _ =>
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       (case strip_comb lhs of (Const(a,aT),args) =>
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          let val info = (aT,lhs,thm,fastype_of t,length args)
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          in case AList.lookup (op =) cmap a of
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               SOME infos => AList.update (op =) (a, info::infos) cmap
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             | NONE => (a,[info])::cmap
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          end
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        | _ => split_format_err())
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     | _ => split_format_err())
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in
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  fold add_thm splits []
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end;
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val abss = fold (Term.abs o pair "");
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(* ------------------------------------------------------------------------- *)
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(* mk_case_split_tac                                                         *)
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(* ------------------------------------------------------------------------- *)
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fun mk_case_split_tac order =
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let
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(************************************************************
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   Create lift-theorem "trlift" :
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   [| !!x. Q x == R x; P(%x. R x) == C |] ==> P (%x. Q x) == C
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*************************************************************)
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val meta_iffD = Data.meta_eq_to_iff RS Data.iffD;  (* (P == Q) ==> Q ==> P *)
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val lift = Goal.prove_global Pure.thy ["P", "Q", "R"]
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  [Syntax.read_prop_global Pure.thy "!!x :: 'b. Q(x) == R(x) :: 'c"]
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  (Syntax.read_prop_global Pure.thy "P(%x. Q(x)) == P(%x. R(x))")
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  (fn {context = ctxt, prems} => rewrite_goals_tac ctxt prems THEN rtac reflexive_thm 1)
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val _ $ _ $ (_ $ (_ $ abs_lift) $ _) = prop_of lift;
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val trlift = lift RS transitive_thm;
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(************************************************************************
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   Set up term for instantiation of P in the lift-theorem
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   t     : lefthand side of meta-equality in subgoal
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           the lift theorem is applied to (see select)
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   pos   : "path" leading to abstraction, coded as a list
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   T     : type of body of P(...)
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*************************************************************************)
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fun mk_cntxt t pos T =
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  let
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    fun down [] t = (Bound 0, t)
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      | down (p :: ps) t =
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          let
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            val (h, ts) = strip_comb t
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            val (ts1, u :: ts2) = chop p ts
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            val (u1, u2) = down ps u
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          in
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            (list_comb (incr_boundvars 1 h,
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               map (incr_boundvars 1) ts1 @ u1 ::
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               map (incr_boundvars 1) ts2),
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             u2)
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          end;
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    val (u1, u2) = down (rev pos) t
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  in (Abs ("", T, u1), u2) end;
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(************************************************************************
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   Set up term for instantiation of P in the split-theorem
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   P(...) == rhs
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   t     : lefthand side of meta-equality in subgoal
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           the split theorem is applied to (see select)
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   T     : type of body of P(...)
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   tt    : the term  Const(key,..) $ ...
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*************************************************************************)
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fun mk_cntxt_splitthm t tt T =
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  let fun repl lev t =
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    if Envir.aeconv(incr_boundvars lev tt, t) then Bound lev
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    else case t of
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        (Abs (v, T2, t)) => Abs (v, T2, repl (lev+1) t)
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      | (Bound i) => Bound (if i>=lev then i+1 else i)
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      | (t1 $ t2) => (repl lev t1) $ (repl lev t2)
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      | t => t
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  in Abs("", T, repl 0 t) end;
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(* add all loose bound variables in t to list is *)
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fun add_lbnos t is = add_loose_bnos (t, 0, is);
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(* check if the innermost abstraction that needs to be removed
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   has a body of type T; otherwise the expansion thm will fail later on
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*)
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fun type_test (T, lbnos, apsns) =
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  let val (_, U: typ, _) = nth apsns (foldl1 Int.min lbnos)
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  in T = U end;
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(*************************************************************************
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   Create a "split_pack".
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   thm   : the relevant split-theorem, i.e. P(...) == rhs , where P(...)
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           is of the form
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           P( Const(key,...) $ t_1 $ ... $ t_n )      (e.g. key = "if")
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   T     : type of P(...)
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   T'    : type of term to be scanned
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   n     : number of arguments expected by Const(key,...)
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   ts    : list of arguments actually found
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   apsns : list of tuples of the form (T,U,pos), one tuple for each
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           abstraction that is encountered on the way to the position where
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           Const(key, ...) $ ...  occurs, where
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           T   : type of the variable bound by the abstraction
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           U   : type of the abstraction's body
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           pos : "path" leading to the body of the abstraction
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   pos   : "path" leading to the position where Const(key, ...) $ ...  occurs.
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   TB    : type of  Const(key,...) $ t_1 $ ... $ t_n
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   t     : the term Const(key,...) $ t_1 $ ... $ t_n
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   A split pack is a tuple of the form
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   (thm, apsns, pos, TB, tt)
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   Note : apsns is reversed, so that the outermost quantifier's position
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          comes first ! If the terms in ts don't contain variables bound
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          by other than meta-quantifiers, apsns is empty, because no further
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          lifting is required before applying the split-theorem.
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******************************************************************************)
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fun mk_split_pack (thm, T: typ, T', n, ts, apsns, pos, TB, t) =
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  if n > length ts then []
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  else let val lev = length apsns
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           val lbnos = fold add_lbnos (take n ts) []
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           val flbnos = filter (fn i => i < lev) lbnos
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           val tt = incr_boundvars (~lev) t
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       in if null flbnos then
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            if T = T' then [(thm,[],pos,TB,tt)] else []
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          else if type_test(T,flbnos,apsns) then [(thm, rev apsns,pos,TB,tt)]
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               else []
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       end;
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(****************************************************************************
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   Recursively scans term for occurrences of Const(key,...) $ ...
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   Returns a list of "split-packs" (one for each occurrence of Const(key,...) )
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   cmap : association list of split-theorems that should be tried.
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          The elements have the format (key,(thm,T,n)) , where
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          key : the theorem's key constant ( Const(key,...) $ ... )
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          thm : the theorem itself
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          T   : type of P( Const(key,...) $ ... )
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          n   : number of arguments expected by Const(key,...)
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   Ts   : types of parameters
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   t    : the term to be scanned
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******************************************************************************)
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(* Simplified first-order matching;
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   assumes that all Vars in the pattern are distinct;
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   see Pure/pattern.ML for the full version;
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*)
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local
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  exception MATCH
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in
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  fun typ_match thy (tyenv, TU) = Sign.typ_match thy TU tyenv
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    handle Type.TYPE_MATCH => raise MATCH;
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  fun fomatch thy args =
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    let
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      fun mtch tyinsts = fn
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          (Ts, Var(_,T), t) =>
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            typ_match thy (tyinsts, (T, fastype_of1(Ts,t)))
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        | (_, Free (a,T), Free (b,U)) =>
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            if a=b then typ_match thy (tyinsts,(T,U)) else raise MATCH
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        | (_, Const (a,T), Const (b,U)) =>
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            if a=b then typ_match thy (tyinsts,(T,U)) else raise MATCH
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        | (_, Bound i, Bound j) =>
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            if i=j then tyinsts else raise MATCH
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        | (Ts, Abs(_,T,t), Abs(_,U,u)) =>
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            mtch (typ_match thy (tyinsts,(T,U))) (U::Ts,t,u)
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        | (Ts, f$t, g$u) =>
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            mtch (mtch tyinsts (Ts,f,g)) (Ts, t, u)
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        | _ => raise MATCH
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    in (mtch Vartab.empty args; true) handle MATCH => false end;
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end;
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fun split_posns (cmap : (string * (typ * term * thm * typ * int) list) list) thy Ts t =
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  let
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    val T' = fastype_of1 (Ts, t);
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    fun posns Ts pos apsns (Abs (_, T, t)) =
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          let val U = fastype_of1 (T::Ts,t)
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          in posns (T::Ts) (0::pos) ((T, U, pos)::apsns) t end
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      | posns Ts pos apsns t =
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          let
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            val (h, ts) = strip_comb t
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            fun iter t (i, a) = (i+1, (posns Ts (i::pos) apsns t) @ a);
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            val a =
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              case h of
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                Const(c, cT) =>
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                  let fun find [] = []
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                        | find ((gcT, pat, thm, T, n)::tups) =
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                            let val t2 = list_comb (h, take n ts) in
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                              if Sign.typ_instance thy (cT, gcT) andalso fomatch thy (Ts, pat, t2)
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                              then mk_split_pack(thm,T,T',n,ts,apsns,pos,type_of1(Ts,t2),t2)
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                              else find tups
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                            end
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                  in find (these (AList.lookup (op =) cmap c)) end
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              | _ => []
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          in snd (fold iter ts (0, a)) end
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  in posns Ts [] [] t end;
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fun shorter ((_,ps,pos,_,_), (_,qs,qos,_,_)) =
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  prod_ord (int_ord o pairself length) (order o pairself length)
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    ((ps, pos), (qs, qos));
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(************************************************************
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   call split_posns with appropriate parameters
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*************************************************************)
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fun select cmap state i =
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  let
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    val thy = Thm.theory_of_thm state
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   289
    val goal = term_of (Thm.cprem_of state i);
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    val Ts = rev (map #2 (Logic.strip_params goal));
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   291
    val _ $ t $ _ = Logic.strip_assums_concl goal;
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   292
  in (Ts, t, sort shorter (split_posns cmap thy Ts t)) end;
1030
1d8fa2fc4b9c Completely rewrote split_tac. The old one failed in strange circumstances.
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   293
42367
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   294
fun exported_split_posns cmap thy Ts t =
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   295
  sort shorter (split_posns cmap thy Ts t);
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   296
c67d543bc395 Added functions mk_cntxt_splitthm and inst_split which instantiate
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   297
(*************************************************************
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   298
   instantiate lift theorem
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c67d543bc395 Added functions mk_cntxt_splitthm and inst_split which instantiate
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   300
   if t is of the form
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   301
   ... ( Const(...,...) $ Abs( .... ) ) ...
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   302
   then
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   303
   P = %a.  ... ( Const(...,...) $ a ) ...
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   304
   where a has type T --> U
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   305
c67d543bc395 Added functions mk_cntxt_splitthm and inst_split which instantiate
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   306
   Ts      : types of parameters
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   307
   t       : lefthand side of meta-equality in subgoal
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             the split theorem is applied to (see cmap)
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   309
   T,U,pos : see mk_split_pack
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   state   : current proof state
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   311
   i       : no. of subgoal
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   312
**************************************************************)
c67d543bc395 Added functions mk_cntxt_splitthm and inst_split which instantiate
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   313
7672
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   314
fun inst_lift Ts t (T, U, pos) state i =
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   315
  let
22578
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wenzelm
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   316
    val cert = cterm_of (Thm.theory_of_thm state);
54216
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   317
    val (cntxt, u) = mk_cntxt t pos (T --> U);
c0c453ce70a7 inst_lift now fully instantiates context to avoid problems with loose bound variables
berghofe
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   318
    val trlift' = Thm.lift_rule (Thm.cprem_of state i)
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berghofe
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   319
      (Thm.rename_boundvars abs_lift u trlift);
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berghofe
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   320
    val (P, _) = strip_comb (fst (Logic.dest_equals
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   321
      (Logic.strip_assums_concl (Thm.prop_of trlift'))));
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  in cterm_instantiate [(cert P, cert (abss Ts cntxt))] trlift'
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   323
  end;
0
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   324
a5a9c433f639 Initial revision
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   325
1686
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berghofe
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   326
(*************************************************************
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berghofe
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   327
   instantiate split theorem
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berghofe
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   328
c67d543bc395 Added functions mk_cntxt_splitthm and inst_split which instantiate
berghofe
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   329
   Ts    : types of parameters
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   330
   t     : lefthand side of meta-equality in subgoal
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   331
           the split theorem is applied to (see cmap)
4232
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   332
   tt    : the term  Const(key,..) $ ...
1686
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   333
   thm   : the split theorem
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   334
   TB    : type of body of P(...)
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   335
   state : current proof state
4232
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berghofe
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   336
   i     : number of subgoal
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   337
**************************************************************)
c67d543bc395 Added functions mk_cntxt_splitthm and inst_split which instantiate
berghofe
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   338
4232
29f3875596ad Tuned function mk_cntxt_splitthm.
berghofe
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   339
fun inst_split Ts t tt thm TB state i =
17881
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   340
  let
18145
6757627acf59 renamed Thm.cgoal_of to Thm.cprem_of;
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   341
    val thm' = Thm.lift_rule (Thm.cprem_of state i) thm;
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   342
    val (P, _) = strip_comb (fst (Logic.dest_equals
22596
d0d2af4db18f rep_thm/cterm/ctyp: removed obsolete sign field;
wenzelm
parents: 22578
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   343
      (Logic.strip_assums_concl (Thm.prop_of thm'))));
22578
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wenzelm
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   344
    val cert = cterm_of (Thm.theory_of_thm state);
7672
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   345
    val cntxt = mk_cntxt_splitthm t tt TB;
33245
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   346
  in cterm_instantiate [(cert P, cert (abss Ts cntxt))] thm'
4232
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berghofe
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   347
  end;
1686
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berghofe
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   348
7672
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   349
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   350
(*****************************************************************************
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   The split-tactic
17881
2b3709f5e477 functor: no Simplifier argument;
wenzelm
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   352
1686
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berghofe
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   353
   splits : list of split-theorems to be tried
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berghofe
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   354
   i      : number of subgoal the tactic should be applied to
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   355
*****************************************************************************)
c67d543bc395 Added functions mk_cntxt_splitthm and inst_split which instantiate
berghofe
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   356
0
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clasohm
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   357
fun split_tac [] i = no_tac
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clasohm
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   358
  | split_tac splits i =
20217
25b068a99d2b linear arithmetic splits certain operators (e.g. min, max, abs)
webertj
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   359
  let val cmap = cmap_of_split_thms splits
54216
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   360
      fun lift_tac Ts t p st = compose_tac (false, inst_lift Ts t p st i, 2) i st
7672
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   361
      fun lift_split_tac state =
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berghofe
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   362
            let val (Ts, t, splits) = select cmap state i
1030
1d8fa2fc4b9c Completely rewrote split_tac. The old one failed in strange circumstances.
nipkow
parents: 943
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   363
            in case splits of
7672
c092e67d12f8 - Fixed bug in mk_split_pack which caused application of expansion theorem
berghofe
parents: 6130
diff changeset
   364
                 [] => no_tac state
c092e67d12f8 - Fixed bug in mk_split_pack which caused application of expansion theorem
berghofe
parents: 6130
diff changeset
   365
               | (thm, apsns, pos, TB, tt)::_ =>
1030
1d8fa2fc4b9c Completely rewrote split_tac. The old one failed in strange circumstances.
nipkow
parents: 943
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   366
                   (case apsns of
7672
c092e67d12f8 - Fixed bug in mk_split_pack which caused application of expansion theorem
berghofe
parents: 6130
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   367
                      [] => compose_tac (false, inst_split Ts t tt thm TB state i, 0) i state
c092e67d12f8 - Fixed bug in mk_split_pack which caused application of expansion theorem
berghofe
parents: 6130
diff changeset
   368
                    | p::_ => EVERY [lift_tac Ts t p,
c092e67d12f8 - Fixed bug in mk_split_pack which caused application of expansion theorem
berghofe
parents: 6130
diff changeset
   369
                                     rtac reflexive_thm (i+1),
c092e67d12f8 - Fixed bug in mk_split_pack which caused application of expansion theorem
berghofe
parents: 6130
diff changeset
   370
                                     lift_split_tac] state)
1030
1d8fa2fc4b9c Completely rewrote split_tac. The old one failed in strange circumstances.
nipkow
parents: 943
diff changeset
   371
            end
17881
2b3709f5e477 functor: no Simplifier argument;
wenzelm
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   372
  in COND (has_fewer_prems i) no_tac
5304
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oheimb
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   373
          (rtac meta_iffD i THEN lift_split_tac)
0
a5a9c433f639 Initial revision
clasohm
parents:
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   374
  end;
a5a9c433f639 Initial revision
clasohm
parents:
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   375
20217
25b068a99d2b linear arithmetic splits certain operators (e.g. min, max, abs)
webertj
parents: 18988
diff changeset
   376
in (split_tac, exported_split_posns) end;  (* mk_case_split_tac *)
1721
445654b6cb95 Rewrote mk_cntxt_splitthm. Added function mk_case_split_inside_tac.
berghofe
parents: 1686
diff changeset
   377
5304
c133f16febc7 the splitter is now defined as a functor
oheimb
parents: 4930
diff changeset
   378
33242
99577c7085c8 misc tuning and simplification;
wenzelm
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diff changeset
   379
val (split_tac, split_posns) = mk_case_split_tac int_ord;
4189
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oheimb
parents: 3918
diff changeset
   380
33242
99577c7085c8 misc tuning and simplification;
wenzelm
parents: 33029
diff changeset
   381
val (split_inside_tac, _) = mk_case_split_tac (rev_order o int_ord);
5304
c133f16febc7 the splitter is now defined as a functor
oheimb
parents: 4930
diff changeset
   382
4189
b8c7a6bc6c16 added split_prem_tac
oheimb
parents: 3918
diff changeset
   383
b8c7a6bc6c16 added split_prem_tac
oheimb
parents: 3918
diff changeset
   384
(*****************************************************************************
b8c7a6bc6c16 added split_prem_tac
oheimb
parents: 3918
diff changeset
   385
   The split-tactic for premises
17881
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   386
4189
b8c7a6bc6c16 added split_prem_tac
oheimb
parents: 3918
diff changeset
   387
   splits : list of split-theorems to be tried
5304
c133f16febc7 the splitter is now defined as a functor
oheimb
parents: 4930
diff changeset
   388
****************************************************************************)
33242
99577c7085c8 misc tuning and simplification;
wenzelm
parents: 33029
diff changeset
   389
fun split_asm_tac [] = K no_tac
17881
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   390
  | split_asm_tac splits =
5304
c133f16febc7 the splitter is now defined as a functor
oheimb
parents: 4930
diff changeset
   391
13855
644692eca537 addsplits / delsplits no longer ignore type of constant.
berghofe
parents: 13157
diff changeset
   392
  let val cname_list = map (fst o fst o split_thm_info) splits;
17881
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   393
      fun tac (t,i) =
20664
ffbc5a57191a member (op =);
wenzelm
parents: 20237
diff changeset
   394
          let val n = find_index (exists_Const (member (op =) cname_list o #1))
17881
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   395
                                 (Logic.strip_assums_hyp t);
56245
84fc7dfa3cd4 more qualified names;
wenzelm
parents: 54742
diff changeset
   396
              fun first_prem_is_disj (Const (@{const_name Pure.imp}, _) $ (Const (c, _)
18545
e2b09fda748c avoid hardwired Trueprop;
wenzelm
parents: 18145
diff changeset
   397
                    $ (Const (s, _) $ _ $ _ )) $ _ ) = c = const_Trueprop andalso s = const_or
56245
84fc7dfa3cd4 more qualified names;
wenzelm
parents: 54742
diff changeset
   398
              |   first_prem_is_disj (Const(@{const_name Pure.all},_)$Abs(_,_,t)) =
17881
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   399
                                        first_prem_is_disj t
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   400
              |   first_prem_is_disj _ = false;
20217
25b068a99d2b linear arithmetic splits certain operators (e.g. min, max, abs)
webertj
parents: 18988
diff changeset
   401
      (* does not work properly if the split variable is bound by a quantifier *)
17881
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   402
              fun flat_prems_tac i = SUBGOAL (fn (t,i) =>
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   403
                           (if first_prem_is_disj t
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   404
                            then EVERY[etac Data.disjE i,rotate_tac ~1 i,
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   405
                                       rotate_tac ~1  (i+1),
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   406
                                       flat_prems_tac (i+1)]
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   407
                            else all_tac)
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   408
                           THEN REPEAT (eresolve_tac [Data.conjE,Data.exE] i)
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   409
                           THEN REPEAT (dresolve_tac [Data.notnotD]   i)) i;
20217
25b068a99d2b linear arithmetic splits certain operators (e.g. min, max, abs)
webertj
parents: 18988
diff changeset
   410
          in if n<0 then  no_tac  else (DETERM (EVERY'
17881
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   411
                [rotate_tac n, etac Data.contrapos2,
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   412
                 split_tac splits,
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   413
                 rotate_tac ~1, etac Data.contrapos, rotate_tac ~1,
20217
25b068a99d2b linear arithmetic splits certain operators (e.g. min, max, abs)
webertj
parents: 18988
diff changeset
   414
                 flat_prems_tac] i))
17881
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   415
          end;
4189
b8c7a6bc6c16 added split_prem_tac
oheimb
parents: 3918
diff changeset
   416
  in SUBGOAL tac
b8c7a6bc6c16 added split_prem_tac
oheimb
parents: 3918
diff changeset
   417
  end;
b8c7a6bc6c16 added split_prem_tac
oheimb
parents: 3918
diff changeset
   418
10652
e6a4bb832b46 sar split method uses new gen_split_tac.
nipkow
parents: 10411
diff changeset
   419
fun gen_split_tac [] = K no_tac
e6a4bb832b46 sar split method uses new gen_split_tac.
nipkow
parents: 10411
diff changeset
   420
  | gen_split_tac (split::splits) =
e6a4bb832b46 sar split method uses new gen_split_tac.
nipkow
parents: 10411
diff changeset
   421
      let val (_,asm) = split_thm_info split
e6a4bb832b46 sar split method uses new gen_split_tac.
nipkow
parents: 10411
diff changeset
   422
      in (if asm then split_asm_tac else split_tac) [split] ORELSE'
e6a4bb832b46 sar split method uses new gen_split_tac.
nipkow
parents: 10411
diff changeset
   423
         gen_split_tac splits
e6a4bb832b46 sar split method uses new gen_split_tac.
nipkow
parents: 10411
diff changeset
   424
      end;
8468
d99902232df8 added attributes, method modifiers, theory setup;
wenzelm
parents: 7672
diff changeset
   425
18688
abf0f018b5ec generic attributes;
wenzelm
parents: 18545
diff changeset
   426
8468
d99902232df8 added attributes, method modifiers, theory setup;
wenzelm
parents: 7672
diff changeset
   427
(** declare split rules **)
d99902232df8 added attributes, method modifiers, theory setup;
wenzelm
parents: 7672
diff changeset
   428
45620
f2a587696afb modernized some old-style infix operations, which were left over from the time of ML proof scripts;
wenzelm
parents: 42367
diff changeset
   429
(* add_split / del_split *)
8468
d99902232df8 added attributes, method modifiers, theory setup;
wenzelm
parents: 7672
diff changeset
   430
33242
99577c7085c8 misc tuning and simplification;
wenzelm
parents: 33029
diff changeset
   431
fun string_of_typ (Type (s, Ts)) =
99577c7085c8 misc tuning and simplification;
wenzelm
parents: 33029
diff changeset
   432
      (if null Ts then "" else enclose "(" ")" (commas (map string_of_typ Ts))) ^ s
13859
adf68d9e5dec split_name no longer uses Sign.string_of_typ to encode types, since
berghofe
parents: 13855
diff changeset
   433
  | string_of_typ _ = "_";
adf68d9e5dec split_name no longer uses Sign.string_of_typ to encode types, since
berghofe
parents: 13855
diff changeset
   434
17881
2b3709f5e477 functor: no Simplifier argument;
wenzelm
parents: 17325
diff changeset
   435
fun split_name (name, T) asm = "split " ^
13859
adf68d9e5dec split_name no longer uses Sign.string_of_typ to encode types, since
berghofe
parents: 13855
diff changeset
   436
  (if asm then "asm " else "") ^ name ^ " :: " ^ string_of_typ T;
4189
b8c7a6bc6c16 added split_prem_tac
oheimb
parents: 3918
diff changeset
   437
51717
9e7d1c139569 simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents: 45620
diff changeset
   438
fun add_split split ctxt =
33242
99577c7085c8 misc tuning and simplification;
wenzelm
parents: 33029
diff changeset
   439
  let
45620
f2a587696afb modernized some old-style infix operations, which were left over from the time of ML proof scripts;
wenzelm
parents: 42367
diff changeset
   440
    val (name, asm) = split_thm_info split
f2a587696afb modernized some old-style infix operations, which were left over from the time of ML proof scripts;
wenzelm
parents: 42367
diff changeset
   441
    val tac = (if asm then split_asm_tac else split_tac) [split]
52037
837211662fb8 tuned signature -- depend on context by default;
wenzelm
parents: 51717
diff changeset
   442
  in Simplifier.addloop (ctxt, (split_name name asm, K tac)) end;
1721
445654b6cb95 Rewrote mk_cntxt_splitthm. Added function mk_case_split_inside_tac.
berghofe
parents: 1686
diff changeset
   443
51717
9e7d1c139569 simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents: 45620
diff changeset
   444
fun del_split split ctxt =
45620
f2a587696afb modernized some old-style infix operations, which were left over from the time of ML proof scripts;
wenzelm
parents: 42367
diff changeset
   445
  let val (name, asm) = split_thm_info split
51717
9e7d1c139569 simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents: 45620
diff changeset
   446
  in Simplifier.delloop (ctxt, split_name name asm) end;
1721
445654b6cb95 Rewrote mk_cntxt_splitthm. Added function mk_case_split_inside_tac.
berghofe
parents: 1686
diff changeset
   447
8468
d99902232df8 added attributes, method modifiers, theory setup;
wenzelm
parents: 7672
diff changeset
   448
d99902232df8 added attributes, method modifiers, theory setup;
wenzelm
parents: 7672
diff changeset
   449
(* attributes *)
d99902232df8 added attributes, method modifiers, theory setup;
wenzelm
parents: 7672
diff changeset
   450
d99902232df8 added attributes, method modifiers, theory setup;
wenzelm
parents: 7672
diff changeset
   451
val splitN = "split";
d99902232df8 added attributes, method modifiers, theory setup;
wenzelm
parents: 7672
diff changeset
   452
45620
f2a587696afb modernized some old-style infix operations, which were left over from the time of ML proof scripts;
wenzelm
parents: 42367
diff changeset
   453
val split_add = Simplifier.attrib add_split;
f2a587696afb modernized some old-style infix operations, which were left over from the time of ML proof scripts;
wenzelm
parents: 42367
diff changeset
   454
val split_del = Simplifier.attrib del_split;
8634
3f34637cb9c0 use Attrib.add_del_args;
wenzelm
parents: 8476
diff changeset
   455
3f34637cb9c0 use Attrib.add_del_args;
wenzelm
parents: 8476
diff changeset
   456
9703
bf65780eed02 added 'split' method;
wenzelm
parents: 9267
diff changeset
   457
(* methods *)
8468
d99902232df8 added attributes, method modifiers, theory setup;
wenzelm
parents: 7672
diff changeset
   458
d99902232df8 added attributes, method modifiers, theory setup;
wenzelm
parents: 7672
diff changeset
   459
val split_modifiers =
58048
aa6296d09e0e more explicit Method.modifier with reported position;
wenzelm
parents: 56245
diff changeset
   460
 [Args.$$$ splitN -- Args.colon >> K (Method.modifier split_add @{here}),
aa6296d09e0e more explicit Method.modifier with reported position;
wenzelm
parents: 56245
diff changeset
   461
  Args.$$$ splitN -- Args.add -- Args.colon >> K (Method.modifier split_add @{here}),
aa6296d09e0e more explicit Method.modifier with reported position;
wenzelm
parents: 56245
diff changeset
   462
  Args.$$$ splitN -- Args.del -- Args.colon >> K (Method.modifier split_del @{here})];
8468
d99902232df8 added attributes, method modifiers, theory setup;
wenzelm
parents: 7672
diff changeset
   463
d99902232df8 added attributes, method modifiers, theory setup;
wenzelm
parents: 7672
diff changeset
   464
18688
abf0f018b5ec generic attributes;
wenzelm
parents: 18545
diff changeset
   465
(* theory setup *)
8468
d99902232df8 added attributes, method modifiers, theory setup;
wenzelm
parents: 7672
diff changeset
   466
9703
bf65780eed02 added 'split' method;
wenzelm
parents: 9267
diff changeset
   467
val setup =
33242
99577c7085c8 misc tuning and simplification;
wenzelm
parents: 33029
diff changeset
   468
  Attrib.setup @{binding split}
99577c7085c8 misc tuning and simplification;
wenzelm
parents: 33029
diff changeset
   469
    (Attrib.add_del split_add split_del) "declare case split rule" #>
30722
623d4831c8cf simplified attribute and method setup: eliminating bottom-up styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents: 30609
diff changeset
   470
  Method.setup @{binding split}
623d4831c8cf simplified attribute and method setup: eliminating bottom-up styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents: 30609
diff changeset
   471
    (Attrib.thms >> (fn ths => K (SIMPLE_METHOD' (CHANGED_PROP o gen_split_tac ths))))
623d4831c8cf simplified attribute and method setup: eliminating bottom-up styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents: 30609
diff changeset
   472
    "apply case split rule";
4189
b8c7a6bc6c16 added split_prem_tac
oheimb
parents: 3918
diff changeset
   473
1721
445654b6cb95 Rewrote mk_cntxt_splitthm. Added function mk_case_split_inside_tac.
berghofe
parents: 1686
diff changeset
   474
end;