src/Pure/facts.ML
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(*  Title:      Pure/facts.ML
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    Author:     Makarius
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Environment of named facts, optionally indexed by proposition.
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*)
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signature FACTS =
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sig
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  val the_single: string -> thm list -> thm
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  datatype interval = FromTo of int * int | From of int | Single of int
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  datatype ref =
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    Named of (string * Position.T) * interval list option |
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    Fact of string
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  val named: string -> ref
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  val string_of_ref: ref -> string
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  val name_of_ref: ref -> string
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  val pos_of_ref: ref -> Position.T
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  val map_name_of_ref: (string -> string) -> ref -> ref
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  val select: ref -> thm list -> thm list
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  val selections: string * thm list -> (ref * thm) list
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  type T
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  val empty: T
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  val space_of: T -> Name_Space.T
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  val intern: T -> xstring -> string
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  val extern: T -> string -> xstring
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  val lookup: Context.generic -> T -> string -> (bool * thm list) option
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  val defined: T -> string -> bool
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  val fold_static: (string * thm list -> 'a -> 'a) -> T -> 'a -> 'a
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  val dest_static: T list -> T -> (string * thm list) list
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  val extern_static: T list -> T -> (xstring * thm list) list
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  val props: T -> thm list
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  val could_unify: T -> term -> thm list
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  val merge: T * T -> T
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  val add_global: Name_Space.naming -> binding * thm list -> T -> string * T
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  val add_local: bool -> Name_Space.naming -> binding * thm list -> T -> string * T
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  val add_dynamic: Name_Space.naming -> binding * (Context.generic -> thm list) -> T -> string * T
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  val del: string -> T -> T
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  val hide: bool -> string -> T -> T
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end;
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structure Facts: FACTS =
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struct
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(** fact references **)
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fun the_single _ [th] : thm = th
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  | the_single name _ = error ("Single theorem expected " ^ quote name);
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(* datatype interval *)
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datatype interval =
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  FromTo of int * int |
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  From of int |
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  Single of int;
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fun string_of_interval (FromTo (i, j)) = string_of_int i ^ "-" ^ string_of_int j
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  | string_of_interval (From i) = string_of_int i ^ "-"
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  | string_of_interval (Single i) = string_of_int i;
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fun interval n iv =
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  let fun err () = raise Fail ("Bad interval specification " ^ string_of_interval iv) in
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    (case iv of
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      FromTo (i, j) => if i <= j then i upto j else err ()
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    | From i => if i <= n then i upto n else err ()
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    | Single i => [i])
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  end;
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(* datatype ref *)
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datatype ref =
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  Named of (string * Position.T) * interval list option |
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  Fact of string;
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fun named name = Named ((name, Position.none), NONE);
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fun name_pos_of_ref (Named (name_pos, _)) = name_pos
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  | name_pos_of_ref (Fact _) = error "Illegal literal fact";
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val name_of_ref = #1 o name_pos_of_ref;
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val pos_of_ref = #2 o name_pos_of_ref;
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fun map_name_of_ref f (Named ((name, pos), is)) = Named ((f name, pos), is)
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  | map_name_of_ref _ r = r;
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fun string_of_ref (Named ((name, _), NONE)) = name
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  | string_of_ref (Named ((name, _), SOME is)) =
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      name ^ enclose "(" ")" (commas (map string_of_interval is))
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  | string_of_ref (Fact _) = error "Illegal literal fact";
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(* select *)
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fun select (Fact _) ths = ths
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  | select (Named (_, NONE)) ths = ths
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  | select (Named ((name, pos), SOME ivs)) ths =
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      let
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        val n = length ths;
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        fun err msg =
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          error (msg ^ " for " ^ quote name ^ " (length " ^ string_of_int n ^ ")" ^
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            Position.str_of pos);
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        fun sel i =
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          if i < 1 orelse i > n then err ("Bad subscript " ^ string_of_int i)
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          else nth ths (i - 1);
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        val is = maps (interval n) ivs handle Fail msg => err msg;
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      in map sel is end;
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(* selections *)
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fun selections (name, [th]) = [(Named ((name, Position.none), NONE), th)]
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  | selections (name, ths) = map2 (fn i => fn th =>
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      (Named ((name, Position.none), SOME [Single i]), th)) (1 upto length ths) ths;
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(** fact environment **)
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(* datatypes *)
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datatype fact = Static of thm list | Dynamic of Context.generic -> thm list;
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datatype T = Facts of
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 {facts: fact Name_Space.table,
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  props: thm Net.net};
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fun make_facts facts props = Facts {facts = facts, props = props};
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val empty = make_facts Name_Space.empty_table Net.empty;
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(* named facts *)
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fun facts_of (Facts {facts, ...}) = facts;
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val space_of = #1 o facts_of;
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val table_of = #2 o facts_of;
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val intern = Name_Space.intern o space_of;
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val extern = Name_Space.extern o space_of;
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val defined = Symtab.defined o table_of;
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fun lookup context facts name =
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  (case Symtab.lookup (table_of facts) name of
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    NONE => NONE
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  | SOME (Static ths) => SOME (true, ths)
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  | SOME (Dynamic f) => SOME (false, f context));
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fun fold_static f =
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  Symtab.fold (fn (name, Static ths) => f (name, ths) | _ => I) o table_of;
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(* content difference *)
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fun diff_table prev_facts facts =
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  fold_static (fn (name, ths) =>
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    if exists (fn prev => defined prev name) prev_facts then I
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    else cons (name, ths)) facts [];
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fun dest_static prev_facts facts =
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  sort_wrt #1 (diff_table prev_facts facts);
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fun extern_static prev_facts facts =
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  sort_wrt #1 (diff_table prev_facts facts |> map (apfst (extern facts)));
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(* indexed props *)
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val prop_ord = TermOrd.term_ord o pairself Thm.full_prop_of;
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fun props (Facts {props, ...}) = sort_distinct prop_ord (Net.content props);
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fun could_unify (Facts {props, ...}) = Net.unify_term props;
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(* merge facts *)
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fun merge (Facts {facts = facts1, props = props1}, Facts {facts = facts2, props = props2}) =
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  let
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    val facts' = Name_Space.merge_tables (facts1, facts2);
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    val props' = Net.merge (is_equal o prop_ord) (props1, props2);
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  in make_facts facts' props' end;
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(* add static entries *)
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local
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fun add strict do_props naming (b, ths) (Facts {facts, props}) =
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  let
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    val (name, facts') =
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      if Binding.is_empty b then ("", facts)
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      else Name_Space.define strict naming (b, Static ths) facts;
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    val props' =
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      if do_props
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      then fold (fn th => Net.insert_term (K false) (Thm.full_prop_of th, th)) ths props
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      else props;
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  in (name, make_facts facts' props') end;
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in
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val add_global = add true false;
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val add_local = add false;
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end;
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(* add dynamic entries *)
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fun add_dynamic naming (b, f) (Facts {facts, props}) =
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  let val (name, facts') = Name_Space.define true naming (b, Dynamic f) facts;
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  in (name, make_facts facts' props) end;
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(* remove entries *)
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fun del name (Facts {facts = (space, tab), props}) =
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  let
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    val space' = Name_Space.hide true name space handle ERROR _ => space;  (* FIXME handle?? *)
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    val tab' = Symtab.delete_safe name tab;
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  in make_facts (space', tab') props end;
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fun hide fully name (Facts {facts = (space, tab), props}) =
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  make_facts (Name_Space.hide fully name space, tab) props;
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end;