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@ -56,18 +56,6 @@ let map_seg ~f h =
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then h
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else {loc; bas; len; siz; seq}
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let map ~f_sjn ~f_ctx ~f_trm ~f_fml ({us; xs= _; ctx; pure; heap; djns} as q)
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=
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let pure = f_fml pure in
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if Formula.(equal ff pure) then false_ us
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else
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let ctx = f_ctx ctx in
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let heap = List.map_endo heap ~f:(map_seg ~f:f_trm) in
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let djns = List.map_endo djns ~f:(List.map_endo ~f:f_sjn) in
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if ctx == q.ctx && pure == q.pure && heap == q.heap && djns == q.djns
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then q
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else {q with ctx; pure; heap; djns}
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let fold_terms_seg {loc; bas; len; siz; seq} s ~f =
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f loc (f bas (f len (f siz (f seq s))))
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@ -301,11 +289,60 @@ let rec invariant q =
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(** Quantification and Vocabulary *)
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let exists_fresh xs q =
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[%Trace.call fun {pf} ->
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pf "{@[%a@]}@ %a" Var.Set.pp xs pp q ;
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assert (
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Var.Set.disjoint xs q.us
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|| fail "Sh.exists_fresh xs ∩ q.us: %a" Var.Set.pp
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(Var.Set.inter xs q.us) () )]
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;
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( if Var.Set.is_empty xs then q
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else {q with xs= Var.Set.union q.xs xs} |> check invariant )
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|>
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[%Trace.retn fun {pf} -> pf "%a" pp]
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let exists xs q =
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[%Trace.call fun {pf} -> pf "{@[%a@]}@ %a" Var.Set.pp xs pp q]
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;
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assert (
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Var.Set.subset xs ~of_:q.us
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|| fail "Sh.exists xs - q.us: %a" Var.Set.pp (Var.Set.diff xs q.us) ()
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) ;
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( if Var.Set.is_empty xs then q
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else
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{q with us= Var.Set.diff q.us xs; xs= Var.Set.union q.xs xs}
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|> check invariant )
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|>
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[%Trace.retn fun {pf} -> pf "%a" pp]
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(** remove quantification on variables disjoint from vocabulary *)
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let elim_exists xs q =
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assert (Var.Set.disjoint xs q.us) ;
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{q with us= Var.Set.union q.us xs; xs= Var.Set.diff q.xs xs}
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let map ~f_sjn ~f_ctx ~f_trm ~f_fml ({us; xs= _; ctx; pure; heap; djns} as q)
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=
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let pure = f_fml pure in
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if Formula.(equal ff pure) then false_ us
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else
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let xs, ctx = f_ctx ctx in
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let heap = List.map_endo heap ~f:(map_seg ~f:f_trm) in
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let djns = List.map_endo djns ~f:(List.map_endo ~f:f_sjn) in
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if
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ctx == q.ctx
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&& pure == q.pure
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&& heap == q.heap
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&& djns == q.djns
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&& Var.Set.is_empty xs
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then q
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else exists_fresh xs {q with ctx; pure; heap; djns}
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(** primitive application of a substitution, ignores us and xs, may violate
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invariant *)
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let rec apply_subst sub q =
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map q ~f_sjn:(rename sub)
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~f_ctx:(fun r -> Context.rename r sub)
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~f_ctx:(fun r -> (Var.Set.empty, Context.rename r sub))
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~f_trm:(Term.rename sub) ~f_fml:(Formula.rename sub)
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|> check (fun q' ->
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assert (Var.Set.disjoint (fv q') (Var.Subst.domain sub)) )
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@ -386,38 +423,6 @@ let bind_exists q ~wrt =
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|>
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[%Trace.retn fun {pf} (_, q') -> pf "%a" pp q']
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let exists_fresh xs q =
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[%Trace.call fun {pf} ->
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pf "{@[%a@]}@ %a" Var.Set.pp xs pp q ;
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assert (
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Var.Set.disjoint xs q.us
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|| fail "Sh.exists_fresh xs ∩ q.us: %a" Var.Set.pp
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(Var.Set.inter xs q.us) () )]
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;
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( if Var.Set.is_empty xs then q
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else {q with xs= Var.Set.union q.xs xs} |> check invariant )
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|>
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[%Trace.retn fun {pf} -> pf "%a" pp]
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let exists xs q =
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[%Trace.call fun {pf} -> pf "{@[%a@]}@ %a" Var.Set.pp xs pp q]
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;
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assert (
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Var.Set.subset xs ~of_:q.us
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|| fail "Sh.exists xs - q.us: %a" Var.Set.pp (Var.Set.diff xs q.us) ()
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) ;
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( if Var.Set.is_empty xs then q
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else
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{q with us= Var.Set.diff q.us xs; xs= Var.Set.union q.xs xs}
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|> check invariant )
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|>
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[%Trace.retn fun {pf} -> pf "%a" pp]
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(** remove quantification on variables disjoint from vocabulary *)
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let elim_exists xs q =
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assert (Var.Set.disjoint xs q.us) ;
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{q with us= Var.Set.union q.us xs; xs= Var.Set.diff q.xs xs}
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(** Construct *)
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(** conjoin an FOL context assuming vocabulary is compatible *)
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@ -623,12 +628,10 @@ let dnf q =
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let rec norm_ s q =
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[%Trace.call fun {pf} -> pf "@[%a@]@ %a" Context.Subst.pp s pp_raw q]
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;
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let q =
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map q ~f_sjn:(norm_ s) ~f_ctx:Fun.id ~f_trm:(Context.Subst.subst s)
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map q ~f_sjn:(norm_ s)
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~f_ctx:(Context.apply_subst (Var.Set.union q.us q.xs) s)
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~f_trm:(Context.Subst.subst s)
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~f_fml:(Formula.map_terms ~f:(Context.Subst.subst s))
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in
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let xs, ctx = Context.apply_subst (Var.Set.union q.us q.xs) s q.ctx in
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exists_fresh xs {q with ctx}
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|>
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[%Trace.retn fun {pf} q' ->
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pf "%a" pp_raw q' ;
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