src/Pure/pattern.ML
author berghofe
Wed, 07 May 2008 10:59:46 +0200
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child 26939 1035c89b4c02
permissions -rw-r--r--
- Removed function eta_contract_atom, which did not quite work - Corrected and simplified function aeconv
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(*  Title:      Pure/pattern.ML
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    ID:         $Id$
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    Author:     Tobias Nipkow, Christine Heinzelmann, and Stefan Berghofer
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Unification of Higher-Order Patterns.
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See also:
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Tobias Nipkow. Functional Unification of Higher-Order Patterns.
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In Proceedings of the 8th IEEE Symposium Logic in Computer Science, 1993.
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TODO: optimize red by special-casing it
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*)
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infix aeconv;
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signature PATTERN =
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sig
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  val trace_unify_fail: bool ref
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  val aeconv: term * term -> bool
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  val eta_long: typ list -> term -> term
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  val match: theory -> term * term -> Type.tyenv * Envir.tenv -> Type.tyenv * Envir.tenv
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  val first_order_match: theory -> term * term
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    -> Type.tyenv * Envir.tenv -> Type.tyenv * Envir.tenv
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  val matches: theory -> term * term -> bool
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  val equiv: theory -> term * term -> bool
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  val matches_subterm: theory -> term * term -> bool
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  val unify: theory -> term * term -> Envir.env -> Envir.env
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  val first_order: term -> bool
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  val pattern: term -> bool
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  val rewrite_term: theory -> (term * term) list -> (term -> term option) list -> term -> term
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  exception Unif
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  exception MATCH
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  exception Pattern
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end;
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structure Pattern: PATTERN =
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struct
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exception Unif;
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exception Pattern;
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val trace_unify_fail = ref false;
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fun string_of_term thy env binders t = Sign.string_of_term thy
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  (Envir.norm_term env (subst_bounds(map Free binders,t)));
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fun bname binders i = fst (nth binders i);
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fun bnames binders is = space_implode " " (map (bname binders) is);
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fun typ_clash thy (tye,T,U) =
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  if !trace_unify_fail
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  then let val t = Sign.string_of_typ thy (Envir.norm_type tye T)
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           and u = Sign.string_of_typ thy (Envir.norm_type tye U)
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       in tracing("The following types do not unify:\n" ^ t ^ "\n" ^ u) end
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  else ()
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fun clash a b =
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  if !trace_unify_fail then tracing("Clash: " ^ a ^ " =/= " ^ b) else ()
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fun boundVar binders i =
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  "bound variable " ^ bname binders i ^ " (depth " ^ string_of_int i ^ ")";
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fun clashBB binders i j =
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  if !trace_unify_fail then clash (boundVar binders i) (boundVar binders j)
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  else ()
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fun clashB binders i s =
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  if !trace_unify_fail then clash (boundVar binders i) s
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  else ()
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fun proj_fail thy (env,binders,F,_,is,t) =
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  if !trace_unify_fail
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  then let val f = Term.string_of_vname F
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           val xs = bnames binders is
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           val u = string_of_term thy env binders t
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           val ys = bnames binders (subtract (op =) is (loose_bnos t))
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       in tracing("Cannot unify variable " ^ f ^
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               " (depending on bound variables " ^ xs ^ ")\nwith term " ^ u ^
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               "\nTerm contains additional bound variable(s) " ^ ys)
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       end
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  else ()
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fun ocheck_fail thy (F,t,binders,env) =
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  if !trace_unify_fail
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  then let val f = Term.string_of_vname F
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           val u = string_of_term thy env binders t
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       in tracing("Variable " ^ f ^ " occurs in term\n" ^ u ^
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                  "\nCannot unify!\n")
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       end
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  else ()
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fun occurs(F,t,env) =
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    let fun occ(Var (G, T))   = (case Envir.lookup (env, (G, T)) of
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                                 SOME(t) => occ t
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                               | NONE    => F=G)
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          | occ(t1$t2)      = occ t1 orelse occ t2
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          | occ(Abs(_,_,t)) = occ t
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          | occ _           = false
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    in occ t end;
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fun mapbnd f =
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    let fun mpb d (Bound(i))     = if i < d then Bound(i) else Bound(f(i-d)+d)
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          | mpb d (Abs(s,T,t))   = Abs(s,T,mpb(d+1) t)
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          | mpb d ((u1 $ u2))    = (mpb d u1)$(mpb d u2)
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          | mpb _ atom           = atom
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    in mpb 0 end;
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fun idx [] j     = raise Unif
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  | idx(i::is) j = if (i:int) =j then length is else idx is j;
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fun mkabs (binders,is,t)  =
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    let fun mk(i::is) = let val (x,T) = nth binders i
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                        in Abs(x,T,mk is) end
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          | mk []     = t
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    in mk is end;
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val incr = mapbnd (fn i => i+1);
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fun ints_of []             = []
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  | ints_of (Bound i ::bs) =
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      let val is = ints_of bs
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      in if member (op =) is i then raise Pattern else i::is end
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  | ints_of _              = raise Pattern;
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fun ints_of' env ts = ints_of (map (Envir.head_norm env) ts);
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fun app (s,(i::is)) = app (s$Bound(i),is)
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  | app (s,[])      = s;
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fun red (Abs(_,_,s)) (i::is) js = red s is (i::js)
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  | red t            []      [] = t
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  | red t            is      jn = app (mapbnd (nth jn) t,is);
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(* split_type ([T1,....,Tn]---> T,n,[]) = ([Tn,...,T1],T) *)
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fun split_type (T,0,Ts)                    = (Ts,T)
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  | split_type (Type ("fun",[T1,T2]),n,Ts) = split_type (T2,n-1,T1::Ts)
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  | split_type _                           = error("split_type");
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fun type_of_G (env as Envir.Envir {iTs, ...}) (T,n,is) =
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  let val (Ts, U) = split_type (Envir.norm_type iTs T, n, [])
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  in map (nth Ts) is ---> U end;
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fun mkhnf (binders,is,G,js) = mkabs (binders, is, app(G,js));
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fun mknewhnf(env,binders,is,F as (a,_),T,js) =
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  let val (env',G) = Envir.genvar a (env,type_of_G env (T,length is,js))
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  in Envir.update (((F, T), mkhnf (binders, is, G, js)), env') end;
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(*predicate: downto0 (is, n) <=> is = [n, n - 1, ..., 0]*)
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fun downto0 (i :: is, n) = i = n andalso downto0 (is, n - 1)
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  | downto0 ([], n) = n = ~1;
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(*mk_proj_list(is) = [ |is| - k | 1 <= k <= |is| and is[k] >= 0 ]*)
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fun mk_proj_list is =
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    let fun mk(i::is,j) = if is_some i then j :: mk(is,j-1) else mk(is,j-1)
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          | mk([],_)    = []
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    in mk(is,length is - 1) end;
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fun proj(s,env,binders,is) =
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    let fun trans d i = if i<d then i else (idx is (i-d))+d;
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        fun pr(s,env,d,binders) = (case Envir.head_norm env s of
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              Abs(a,T,t) => let val (t',env') = pr(t,env,d+1,((a,T)::binders))
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                            in (Abs(a,T,t'),env') end
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            | t => (case strip_comb t of
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                (c as Const _,ts) =>
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                         let val (ts',env') = prs(ts,env,d,binders)
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                         in (list_comb(c,ts'),env') end
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                 | (f as Free _,ts) =>
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                         let val (ts',env') = prs(ts,env,d,binders)
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                         in (list_comb(f,ts'),env') end
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                 | (Bound(i),ts) =>
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                         let val j = trans d i
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                             val (ts',env') = prs(ts,env,d,binders)
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                         in (list_comb(Bound j,ts'),env') end
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                 | (Var(F as (a,_),Fty),ts) =>
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                      let val js = ints_of' env ts;
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                          val js' = map (try (trans d)) js;
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                          val ks = mk_proj_list js';
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                          val ls = map_filter I js'
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                          val Hty = type_of_G env (Fty,length js,ks)
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                          val (env',H) = Envir.genvar a (env,Hty)
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                          val env'' =
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                            Envir.update (((F, Fty), mkhnf (binders, js, H, ks)), env')
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                      in (app(H,ls),env'') end
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                 | _  => raise Pattern))
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        and prs(s::ss,env,d,binders) =
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              let val (s',env1) = pr(s,env,d,binders)
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                  val (ss',env2) = prs(ss,env1,d,binders)
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              in (s'::ss',env2) end
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          | prs([],env,_,_) = ([],env)
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   in if downto0(is,length binders - 1) then (s,env)
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      else pr(s,env,0,binders)
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   end;
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(* mk_ff_list(is,js) = [ length(is) - k | 1 <= k <= |is| and is[k] = js[k] ] *)
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fun mk_ff_list(is,js) =
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    let fun mk([],[],_)        = []
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          | mk(i::is,j::js, k) = if (i:int) = j then k :: mk(is,js,k-1)
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                                        else mk(is,js,k-1)
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          | mk _               = error"mk_ff_list"
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    in mk(is,js,length is-1) end;
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fun flexflex1(env,binders,F,Fty,is,js) =
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  if is=js then env
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  else let val ks = mk_ff_list(is,js)
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       in mknewhnf(env,binders,is,F,Fty,ks) end;
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fun flexflex2(env,binders,F,Fty,is,G,Gty,js) =
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  let fun ff(F,Fty,is,G as (a,_),Gty,js) =
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            if js subset_int is
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            then let val t= mkabs(binders,is,app(Var(G,Gty),map (idx is) js))
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                 in Envir.update (((F, Fty), t), env) end
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            else let val ks = is inter_int js
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                     val Hty = type_of_G env (Fty,length is,map (idx is) ks)
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                     val (env',H) = Envir.genvar a (env,Hty)
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                     fun lam(is) = mkabs(binders,is,app(H,map (idx is) ks));
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                 in Envir.update (((G, Gty), lam js), Envir.update (((F, Fty), lam is), env'))
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                 end;
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  in if Term.indexname_ord (G,F) = LESS then ff(F,Fty,is,G,Gty,js) else ff(G,Gty,js,F,Fty,is) end
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fun unify_types thy (T,U) (env as Envir.Envir{asol,iTs,maxidx}) =
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  if T=U then env
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  else let val (iTs',maxidx') = Sign.typ_unify thy (U, T) (iTs, maxidx)
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       in Envir.Envir{asol=asol,maxidx=maxidx',iTs=iTs'} end
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       handle Type.TUNIFY => (typ_clash thy (iTs,T,U); raise Unif);
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fun unif thy binders (s,t) env = case (Envir.head_norm env s, Envir.head_norm env t) of
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      (Abs(ns,Ts,ts),Abs(nt,Tt,tt)) =>
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         let val name = if ns = "" then nt else ns
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         in unif thy ((name,Ts)::binders) (ts,tt) env end
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    | (Abs(ns,Ts,ts),t) => unif thy ((ns,Ts)::binders) (ts,(incr t)$Bound(0)) env
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    | (t,Abs(nt,Tt,tt)) => unif thy ((nt,Tt)::binders) ((incr t)$Bound(0),tt) env
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    | p => cases thy (binders,env,p)
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and cases thy (binders,env,(s,t)) = case (strip_comb s,strip_comb t) of
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       ((Var(F,Fty),ss),(Var(G,Gty),ts)) =>
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         if F = G then flexflex1(env,binders,F,Fty,ints_of' env ss,ints_of' env ts)
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                  else flexflex2(env,binders,F,Fty,ints_of' env ss,G,Gty,ints_of' env ts)
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      | ((Var(F,Fty),ss),_)           => flexrigid thy (env,binders,F,Fty,ints_of' env ss,t)
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      | (_,(Var(F,Fty),ts))           => flexrigid thy (env,binders,F,Fty,ints_of' env ts,s)
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      | ((Const c,ss),(Const d,ts))   => rigidrigid thy (env,binders,c,d,ss,ts)
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      | ((Free(f),ss),(Free(g),ts))   => rigidrigid thy (env,binders,f,g,ss,ts)
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      | ((Bound(i),ss),(Bound(j),ts)) => rigidrigidB thy (env,binders,i,j,ss,ts)
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      | ((Abs(_),_),_)                => raise Pattern
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      | (_,(Abs(_),_))                => raise Pattern
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      | ((Const(c,_),_),(Free(f,_),_)) => (clash c f; raise Unif)
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      | ((Const(c,_),_),(Bound i,_))   => (clashB binders i c; raise Unif)
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      | ((Free(f,_),_),(Const(c,_),_)) => (clash f c; raise Unif)
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      | ((Free(f,_),_),(Bound i,_))    => (clashB binders i f; raise Unif)
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      | ((Bound i,_),(Const(c,_),_))   => (clashB binders i c; raise Unif)
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      | ((Bound i,_),(Free(f,_),_))    => (clashB binders i f; raise Unif)
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and rigidrigid thy (env,binders,(a,Ta),(b,Tb),ss,ts) =
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      if a<>b then (clash a b; raise Unif)
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      else env |> unify_types thy (Ta,Tb) |> fold (unif thy binders) (ss~~ts)
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and rigidrigidB thy (env,binders,i,j,ss,ts) =
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     if i <> j then (clashBB binders i j; raise Unif)
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     else fold (unif thy binders) (ss~~ts) env
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and flexrigid thy (params as (env,binders,F,Fty,is,t)) =
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      if occurs(F,t,env) then (ocheck_fail thy (F,t,binders,env); raise Unif)
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      else (let val (u,env') = proj(t,env,binders,is)
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            in Envir.update (((F, Fty), mkabs (binders, is, u)), env') end
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            handle Unif => (proj_fail thy params; raise Unif));
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fun unify thy = unif thy [];
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(* put a term into eta long beta normal form *)
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fun eta_long Ts (Abs (s, T, t)) = Abs (s, T, eta_long (T :: Ts) t)
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  | eta_long Ts t = (case strip_comb t of
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      (Abs _, _) => eta_long Ts (Envir.beta_norm t)
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    | (u, ts) =>
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      let
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        val Us = binder_types (fastype_of1 (Ts, t));
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        val i = length Us
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      in list_abs (map (pair "x") Us,
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        list_comb (incr_boundvars i u, map (eta_long (rev Us @ Ts))
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          (map (incr_boundvars i) ts @ map Bound (i - 1 downto 0))))
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      end);
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(*Tests whether 2 terms are alpha/eta-convertible and have same type.
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  Note that Consts and Vars may have more than one type.*)
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fun t aeconv u = Envir.eta_contract t aconv Envir.eta_contract u;
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(*** Matching ***)
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exception MATCH;
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fun typ_match thy TU tyenv = Sign.typ_match thy TU tyenv
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  handle Type.TYPE_MATCH => raise MATCH;
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(*First-order matching;
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   303
  The pattern and object may have variables in common.
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   304
  Instantiation does not affect the object, so matching ?a with ?a+1 works.
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   305
  Object is eta-contracted on the fly (by eta-expanding the pattern).
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   306
  Precondition: the pattern is already eta-contracted!
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   307
  Types are matched on the fly*)
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   308
fun first_order_match thy =
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   309
  let
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812db0f215b3 first_order_match now only calls loose_bvar when inside an abstraction.
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   310
    fun mtch k (instsp as (tyinsts,insts)) = fn
4820
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   311
        (Var(ixn,T), t)  =>
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812db0f215b3 first_order_match now only calls loose_bvar when inside an abstraction.
berghofe
parents: 23222
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   312
          if k > 0 andalso loose_bvar(t,0) then raise MATCH
16651
40b96a501773 Changed interface of Envir.lookup'
berghofe
parents: 15797
diff changeset
   313
          else (case Envir.lookup' (insts, (ixn, T)) of
18182
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parents: 18011
diff changeset
   314
                  NONE => (typ_match thy (T, fastype_of t) tyinsts,
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e26cb20ef0cc TableFun/Symtab: curried lookup and update;
wenzelm
parents: 17221
diff changeset
   315
                           Vartab.update_new (ixn, (T, t)) insts)
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08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14981
diff changeset
   316
                | SOME u => if t aeconv u then instsp else raise MATCH)
4820
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   317
      | (Free (a,T), Free (b,U)) =>
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parents: 18011
diff changeset
   318
          if a=b then (typ_match thy (T,U) tyinsts, insts) else raise MATCH
4820
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diff changeset
   319
      | (Const (a,T), Const (b,U))  =>
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786d83044780 tuned interfaces to support incremental match/unify (cf. versions in type.ML);
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parents: 18011
diff changeset
   320
          if a=b then (typ_match thy (T,U) tyinsts, insts) else raise MATCH
4820
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parents: 4667
diff changeset
   321
      | (Bound i, Bound j)  =>  if  i=j  then  instsp  else raise MATCH
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diff changeset
   322
      | (Abs(_,T,t), Abs(_,U,u))  =>
25473
812db0f215b3 first_order_match now only calls loose_bvar when inside an abstraction.
berghofe
parents: 23222
diff changeset
   323
          mtch (k + 1) (typ_match thy (T,U) tyinsts, insts) (t,u)
812db0f215b3 first_order_match now only calls loose_bvar when inside an abstraction.
berghofe
parents: 23222
diff changeset
   324
      | (f$t, g$u) => mtch k (mtch k instsp (f,g)) (t, u)
812db0f215b3 first_order_match now only calls loose_bvar when inside an abstraction.
berghofe
parents: 23222
diff changeset
   325
      | (t, Abs(_,U,u))  =>  mtch (k + 1) instsp ((incr t)$(Bound 0), u)
4820
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diff changeset
   326
      | _ => raise MATCH
25473
812db0f215b3 first_order_match now only calls loose_bvar when inside an abstraction.
berghofe
parents: 23222
diff changeset
   327
  in fn tu => fn env => mtch 0 env tu end;
4820
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diff changeset
   328
8406
a217b0cd304d Type.unify and Type.typ_match now use Vartab instead of association lists.
berghofe
parents: 6539
diff changeset
   329
4820
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   330
(* Matching of higher-order patterns *)
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   331
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   332
fun match_bind(itms,binders,ixn,T,is,t) =
4820
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diff changeset
   333
  let val js = loose_bnos t
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diff changeset
   334
  in if null is
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e26cb20ef0cc TableFun/Symtab: curried lookup and update;
wenzelm
parents: 17221
diff changeset
   335
     then if null js then Vartab.update_new (ixn, (T, t)) itms else raise MATCH
4820
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   336
     else if js subset_int is
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diff changeset
   337
          then let val t' = if downto0(is,length binders - 1) then t
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   338
                            else mapbnd (idx is) t
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e26cb20ef0cc TableFun/Symtab: curried lookup and update;
wenzelm
parents: 17221
diff changeset
   339
               in Vartab.update_new (ixn, (T, mkabs (binders, is, t'))) itms end
4820
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   340
          else raise MATCH
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diff changeset
   341
  end;
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   342
18182
786d83044780 tuned interfaces to support incremental match/unify (cf. versions in type.ML);
wenzelm
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   343
fun match thy (po as (pat,obj)) envir =
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6151b7f3b606 Modified pattern.ML to perform proper matching of Higher-Order Patterns.
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   344
let
4820
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   345
  (* Pre: pat and obj have same type *)
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786d83044780 tuned interfaces to support incremental match/unify (cf. versions in type.ML);
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   346
  fun mtch binders (pat,obj) (env as (iTs,itms)) =
4820
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   347
    case pat of
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   348
      Abs(ns,Ts,ts) =>
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   349
        (case obj of
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786d83044780 tuned interfaces to support incremental match/unify (cf. versions in type.ML);
wenzelm
parents: 18011
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   350
           Abs(nt,Tt,tt) => mtch ((nt,Tt)::binders) (ts,tt) env
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a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15574
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   351
         | _ => let val Tt = Envir.typ_subst_TVars iTs Ts
18182
786d83044780 tuned interfaces to support incremental match/unify (cf. versions in type.ML);
wenzelm
parents: 18011
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   352
                in mtch((ns,Tt)::binders) (ts,(incr obj)$Bound(0)) env end)
4820
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   353
    | _ => (case obj of
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   354
              Abs(nt,Tt,tt) =>
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786d83044780 tuned interfaces to support incremental match/unify (cf. versions in type.ML);
wenzelm
parents: 18011
diff changeset
   355
                mtch((nt,Tt)::binders) ((incr pat)$Bound(0),tt) env
4820
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   356
            | _ => cases(binders,env,pat,obj))
678
6151b7f3b606 Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents: 63
diff changeset
   357
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nipkow
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   358
  and cases(binders,env as (iTs,itms),pat,obj) =
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
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parents: 4667
diff changeset
   359
    let val (ph,pargs) = strip_comb pat
18182
786d83044780 tuned interfaces to support incremental match/unify (cf. versions in type.ML);
wenzelm
parents: 18011
diff changeset
   360
        fun rigrig1(iTs,oargs) = fold (mtch binders) (pargs~~oargs) (iTs,itms)
16668
fdb4992cf1d2 avoid polyeq;
wenzelm
parents: 16651
diff changeset
   361
        fun rigrig2((a:string,Ta),(b,Tb),oargs) =
fdb4992cf1d2 avoid polyeq;
wenzelm
parents: 16651
diff changeset
   362
              if a <> b then raise MATCH
18182
786d83044780 tuned interfaces to support incremental match/unify (cf. versions in type.ML);
wenzelm
parents: 18011
diff changeset
   363
              else rigrig1(typ_match thy (Ta,Tb) iTs, oargs)
4820
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   364
    in case ph of
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15574
diff changeset
   365
         Var(ixn,T) =>
4820
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   366
           let val is = ints_of pargs
16651
40b96a501773 Changed interface of Envir.lookup'
berghofe
parents: 15797
diff changeset
   367
           in case Envir.lookup' (itms, (ixn, T)) of
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15574
diff changeset
   368
                NONE => (iTs,match_bind(itms,binders,ixn,T,is,obj))
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14981
diff changeset
   369
              | SOME u => if obj aeconv (red u is []) then env
4820
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   370
                          else raise MATCH
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nipkow
parents: 4667
diff changeset
   371
           end
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   372
       | _ =>
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   373
           let val (oh,oargs) = strip_comb obj
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   374
           in case (ph,oh) of
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   375
                (Const c,Const d) => rigrig2(c,d,oargs)
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   376
              | (Free f,Free g)   => rigrig2(f,g,oargs)
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   377
              | (Bound i,Bound j) => if i<>j then raise MATCH
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   378
                                     else rigrig1(iTs,oargs)
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   379
              | (Abs _, _)        => raise Pattern
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   380
              | (_, Abs _)        => raise Pattern
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   381
              | _                 => raise MATCH
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   382
           end
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   383
    end;
678
6151b7f3b606 Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents: 63
diff changeset
   384
4820
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   385
  val pT = fastype_of pat
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   386
  and oT = fastype_of obj
18182
786d83044780 tuned interfaces to support incremental match/unify (cf. versions in type.ML);
wenzelm
parents: 18011
diff changeset
   387
  val envir' = apfst (typ_match thy (pT, oT)) envir;
786d83044780 tuned interfaces to support incremental match/unify (cf. versions in type.ML);
wenzelm
parents: 18011
diff changeset
   388
in mtch [] po envir' handle Pattern => first_order_match thy po envir' end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   389
18182
786d83044780 tuned interfaces to support incremental match/unify (cf. versions in type.ML);
wenzelm
parents: 18011
diff changeset
   390
fun matches thy po = (match thy po (Vartab.empty, Vartab.empty); true) handle MATCH => false;
786d83044780 tuned interfaces to support incremental match/unify (cf. versions in type.ML);
wenzelm
parents: 18011
diff changeset
   391
19880
1b0d48257caf added equiv;
wenzelm
parents: 19863
diff changeset
   392
fun equiv thy (t, u) = matches thy (t, u) andalso matches thy (u, t);
1b0d48257caf added equiv;
wenzelm
parents: 19863
diff changeset
   393
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   394
4667
6328d427a339 Tried to reorganize rewriter a little. More to be done.
nipkow
parents: 2792
diff changeset
   395
(* Does pat match a subterm of obj? *)
22255
8fcd11cb9be7 tuned matches_subterm;
wenzelm
parents: 20672
diff changeset
   396
fun matches_subterm thy (pat, obj) =
8fcd11cb9be7 tuned matches_subterm;
wenzelm
parents: 20672
diff changeset
   397
  let
8fcd11cb9be7 tuned matches_subterm;
wenzelm
parents: 20672
diff changeset
   398
    fun msub bounds obj = matches thy (pat, obj) orelse
8fcd11cb9be7 tuned matches_subterm;
wenzelm
parents: 20672
diff changeset
   399
      (case obj of
8fcd11cb9be7 tuned matches_subterm;
wenzelm
parents: 20672
diff changeset
   400
        Abs (x, T, t) => msub (bounds + 1) (snd (Term.dest_abs (Name.bound bounds, T, t)))
8fcd11cb9be7 tuned matches_subterm;
wenzelm
parents: 20672
diff changeset
   401
      | t $ u => msub bounds t orelse msub bounds u
8fcd11cb9be7 tuned matches_subterm;
wenzelm
parents: 20672
diff changeset
   402
      | _ => false)
8fcd11cb9be7 tuned matches_subterm;
wenzelm
parents: 20672
diff changeset
   403
  in msub 0 obj end;
4667
6328d427a339 Tried to reorganize rewriter a little. More to be done.
nipkow
parents: 2792
diff changeset
   404
4820
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   405
fun first_order(Abs(_,_,t)) = first_order t
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   406
  | first_order(t $ u) = first_order t andalso first_order u andalso
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   407
                         not(is_Var t)
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   408
  | first_order _ = true;
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   409
20672
b96394d8c702 member (op =);
wenzelm
parents: 20098
diff changeset
   410
fun pattern (Abs (_, _, t)) = pattern t
b96394d8c702 member (op =);
wenzelm
parents: 20098
diff changeset
   411
  | pattern t =
b96394d8c702 member (op =);
wenzelm
parents: 20098
diff changeset
   412
      let val (head, args) = strip_comb t in
b96394d8c702 member (op =);
wenzelm
parents: 20098
diff changeset
   413
        if is_Var head then
b96394d8c702 member (op =);
wenzelm
parents: 20098
diff changeset
   414
          forall is_Bound args andalso not (has_duplicates (op aconv) args)
b96394d8c702 member (op =);
wenzelm
parents: 20098
diff changeset
   415
        else forall pattern args
b96394d8c702 member (op =);
wenzelm
parents: 20098
diff changeset
   416
      end;
4820
8f6dbbd8d497 Tried to speed up the rewriter by eta-contracting all patterns beforehand and
nipkow
parents: 4667
diff changeset
   417
12784
bab3b002cbbb added rewrite_term;
wenzelm
parents: 12781
diff changeset
   418
bab3b002cbbb added rewrite_term;
wenzelm
parents: 12781
diff changeset
   419
(* rewriting -- simple but fast *)
bab3b002cbbb added rewrite_term;
wenzelm
parents: 12781
diff changeset
   420
17203
29b2563f5c11 refer to theory instead of low-level tsig;
wenzelm
parents: 16986
diff changeset
   421
fun rewrite_term thy rules procs tm =
12784
bab3b002cbbb added rewrite_term;
wenzelm
parents: 12781
diff changeset
   422
  let
13195
98975cc13d28 Changes to rewrite_term:
berghofe
parents: 12980
diff changeset
   423
    val skel0 = Bound 0;
98975cc13d28 Changes to rewrite_term:
berghofe
parents: 12980
diff changeset
   424
16939
87fc64d2409f Sign.typ_unify;
wenzelm
parents: 16668
diff changeset
   425
    fun variant_absfree bounds (x, T, t) =
12797
4de06a8f67ef eta_contract with sharing (by berghofe);
wenzelm
parents: 12784
diff changeset
   426
      let
20079
ec5c8584487c replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents: 19880
diff changeset
   427
        val (x', t') = Term.dest_abs (Name.bound bounds, T, t);
16939
87fc64d2409f Sign.typ_unify;
wenzelm
parents: 16668
diff changeset
   428
        fun abs u = Abs (x, T, abstract_over (Free (x', T), u));
87fc64d2409f Sign.typ_unify;
wenzelm
parents: 16668
diff changeset
   429
      in (abs, t') end;
12797
4de06a8f67ef eta_contract with sharing (by berghofe);
wenzelm
parents: 12784
diff changeset
   430
12784
bab3b002cbbb added rewrite_term;
wenzelm
parents: 12781
diff changeset
   431
    fun match_rew tm (tm1, tm2) =
18940
d8e12bf337a3 moved (beta_)eta_contract to envir.ML;
wenzelm
parents: 18182
diff changeset
   432
      let val rtm = the_default tm2 (Term.rename_abs tm1 tm tm2) in
18182
786d83044780 tuned interfaces to support incremental match/unify (cf. versions in type.ML);
wenzelm
parents: 18011
diff changeset
   433
        SOME (Envir.subst_vars (match thy (tm1, tm) (Vartab.empty, Vartab.empty)) rtm, rtm)
16939
87fc64d2409f Sign.typ_unify;
wenzelm
parents: 16668
diff changeset
   434
          handle MATCH => NONE
13195
98975cc13d28 Changes to rewrite_term:
berghofe
parents: 12980
diff changeset
   435
      end;
12784
bab3b002cbbb added rewrite_term;
wenzelm
parents: 12781
diff changeset
   436
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14981
diff changeset
   437
    fun rew (Abs (_, _, body) $ t) = SOME (subst_bound (t, body), skel0)
13195
98975cc13d28 Changes to rewrite_term:
berghofe
parents: 12980
diff changeset
   438
      | rew tm = (case get_first (match_rew tm) rules of
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   439
          NONE => Option.map (rpair skel0) (get_first (fn p => p tm) procs)
13195
98975cc13d28 Changes to rewrite_term:
berghofe
parents: 12980
diff changeset
   440
        | x => x);
98975cc13d28 Changes to rewrite_term:
berghofe
parents: 12980
diff changeset
   441
16939
87fc64d2409f Sign.typ_unify;
wenzelm
parents: 16668
diff changeset
   442
    fun rew1 bounds (Var _) _ = NONE
87fc64d2409f Sign.typ_unify;
wenzelm
parents: 16668
diff changeset
   443
      | rew1 bounds skel tm = (case rew2 bounds skel tm of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14981
diff changeset
   444
          SOME tm1 => (case rew tm1 of
18940
d8e12bf337a3 moved (beta_)eta_contract to envir.ML;
wenzelm
parents: 18182
diff changeset
   445
              SOME (tm2, skel') => SOME (the_default tm2 (rew1 bounds skel' tm2))
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14981
diff changeset
   446
            | NONE => SOME tm1)
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14981
diff changeset
   447
        | NONE => (case rew tm of
18940
d8e12bf337a3 moved (beta_)eta_contract to envir.ML;
wenzelm
parents: 18182
diff changeset
   448
              SOME (tm1, skel') => SOME (the_default tm1 (rew1 bounds skel' tm1))
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14981
diff changeset
   449
            | NONE => NONE))
12784
bab3b002cbbb added rewrite_term;
wenzelm
parents: 12781
diff changeset
   450
16939
87fc64d2409f Sign.typ_unify;
wenzelm
parents: 16668
diff changeset
   451
    and rew2 bounds skel (tm1 $ tm2) = (case tm1 of
12784
bab3b002cbbb added rewrite_term;
wenzelm
parents: 12781
diff changeset
   452
            Abs (_, _, body) =>
bab3b002cbbb added rewrite_term;
wenzelm
parents: 12781
diff changeset
   453
              let val tm' = subst_bound (tm2, body)
18940
d8e12bf337a3 moved (beta_)eta_contract to envir.ML;
wenzelm
parents: 18182
diff changeset
   454
              in SOME (the_default tm' (rew2 bounds skel0 tm')) end
14787
724ce6e574e3 adapted tsig interface;
wenzelm
parents: 14643
diff changeset
   455
          | _ =>
13195
98975cc13d28 Changes to rewrite_term:
berghofe
parents: 12980
diff changeset
   456
            let val (skel1, skel2) = (case skel of
98975cc13d28 Changes to rewrite_term:
berghofe
parents: 12980
diff changeset
   457
                skel1 $ skel2 => (skel1, skel2)
98975cc13d28 Changes to rewrite_term:
berghofe
parents: 12980
diff changeset
   458
              | _ => (skel0, skel0))
16939
87fc64d2409f Sign.typ_unify;
wenzelm
parents: 16668
diff changeset
   459
            in case rew1 bounds skel1 tm1 of
87fc64d2409f Sign.typ_unify;
wenzelm
parents: 16668
diff changeset
   460
                SOME tm1' => (case rew1 bounds skel2 tm2 of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14981
diff changeset
   461
                    SOME tm2' => SOME (tm1' $ tm2')
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14981
diff changeset
   462
                  | NONE => SOME (tm1' $ tm2))
16939
87fc64d2409f Sign.typ_unify;
wenzelm
parents: 16668
diff changeset
   463
              | NONE => (case rew1 bounds skel2 tm2 of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14981
diff changeset
   464
                    SOME tm2' => SOME (tm1 $ tm2')
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14981
diff changeset
   465
                  | NONE => NONE)
13195
98975cc13d28 Changes to rewrite_term:
berghofe
parents: 12980
diff changeset
   466
            end)
16939
87fc64d2409f Sign.typ_unify;
wenzelm
parents: 16668
diff changeset
   467
      | rew2 bounds skel (Abs body) =
13195
98975cc13d28 Changes to rewrite_term:
berghofe
parents: 12980
diff changeset
   468
          let
16939
87fc64d2409f Sign.typ_unify;
wenzelm
parents: 16668
diff changeset
   469
            val (abs, tm') = variant_absfree bounds body;
13195
98975cc13d28 Changes to rewrite_term:
berghofe
parents: 12980
diff changeset
   470
            val skel' = (case skel of Abs (_, _, skel') => skel' | _ => skel0)
16939
87fc64d2409f Sign.typ_unify;
wenzelm
parents: 16668
diff changeset
   471
          in case rew1 (bounds + 1) skel' tm' of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14981
diff changeset
   472
              SOME tm'' => SOME (abs tm'')
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14981
diff changeset
   473
            | NONE => NONE
12797
4de06a8f67ef eta_contract with sharing (by berghofe);
wenzelm
parents: 12784
diff changeset
   474
          end
16939
87fc64d2409f Sign.typ_unify;
wenzelm
parents: 16668
diff changeset
   475
      | rew2 _ _ _ = NONE;
12784
bab3b002cbbb added rewrite_term;
wenzelm
parents: 12781
diff changeset
   476
18940
d8e12bf337a3 moved (beta_)eta_contract to envir.ML;
wenzelm
parents: 18182
diff changeset
   477
  in the_default tm (rew1 0 skel0 tm) end;
12784
bab3b002cbbb added rewrite_term;
wenzelm
parents: 12781
diff changeset
   478
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   479
end;
13642
a3d97348ceb6 added failure trace information to pattern unification
nipkow
parents: 13195
diff changeset
   480
a3d97348ceb6 added failure trace information to pattern unification
nipkow
parents: 13195
diff changeset
   481
val trace_unify_fail = Pattern.trace_unify_fail;