(* Title: Pure/display.ML
Author: Lawrence C Paulson, Cambridge University Computer Laboratory
Copyright 1993 University of Cambridge
Printing of theorems, goals, results etc.
*)
signature BASIC_DISPLAY =
sig
val goals_limit: int ref
val show_hyps: bool ref
val show_tags: bool ref
val show_consts: bool ref
end;
signature DISPLAY =
sig
include BASIC_DISPLAY
val pretty_flexpair: Pretty.pp -> term * term -> Pretty.T
val pretty_thm_aux: Pretty.pp -> {quote: bool, show_hyps: bool, show_status: bool} ->
term list -> thm -> Pretty.T
val pretty_thm: thm -> Pretty.T
val string_of_thm: thm -> string
val pretty_thms: thm list -> Pretty.T
val pretty_thm_sg: theory -> thm -> Pretty.T
val pretty_thms_sg: theory -> thm list -> Pretty.T
val print_thm: thm -> unit
val print_thms: thm list -> unit
val prth: thm -> thm
val prthq: thm Seq.seq -> thm Seq.seq
val prths: thm list -> thm list
val pretty_ctyp: ctyp -> Pretty.T
val string_of_ctyp: ctyp -> string
val print_ctyp: ctyp -> unit
val pretty_cterm: cterm -> Pretty.T
val string_of_cterm: cterm -> string
val print_cterm: cterm -> unit
val print_syntax: theory -> unit
val pretty_full_theory: bool -> theory -> Pretty.T list
val pretty_goals_aux: Pretty.pp -> Markup.T -> bool * bool -> int -> thm -> Pretty.T list
val pretty_goals: int -> thm -> Pretty.T list
val print_goals: int -> thm -> unit
end;
structure Display: DISPLAY =
struct
(** print thm **)
val goals_limit = ref 10; (*max number of goals to print*)
val show_hyps = ref false; (*false: print meta-hypotheses as dots*)
val show_tags = ref false; (*false: suppress tags*)
fun pretty_tag (name, arg) = Pretty.strs [name, quote arg];
val pretty_tags = Pretty.list "[" "]" o map pretty_tag;
fun pretty_flexpair pp (t, u) = Pretty.block
[Pretty.term pp t, Pretty.str " =?=", Pretty.brk 1, Pretty.term pp u];
fun display_status false _ = ""
| display_status true th =
let
val {oracle = oracle0, unfinished, failed} = Thm.status_of th;
val oracle = oracle0 andalso (not (! quick_and_dirty) orelse ! show_hyps);
in
if failed then "!!"
else if oracle andalso unfinished then "!?"
else if oracle then "!"
else if unfinished then "?"
else ""
end;
fun pretty_thm_aux pp {quote, show_hyps = show_hyps', show_status} asms raw_th =
let
val th = Thm.strip_shyps raw_th;
val {hyps, tpairs, prop, ...} = Thm.rep_thm th;
val xshyps = Thm.extra_shyps th;
val tags = Thm.get_tags th;
val q = if quote then Pretty.quote else I;
val prt_term = q o Pretty.term pp;
val hyps' = if ! show_hyps then hyps else subtract (op aconv) asms hyps;
val status = display_status show_status th;
val hlen = length xshyps + length hyps' + length tpairs;
val hsymbs =
if hlen = 0 andalso status = "" then []
else if ! show_hyps orelse show_hyps' then
[Pretty.brk 2, Pretty.list "[" "]"
(map (q o pretty_flexpair pp) tpairs @ map prt_term hyps' @
map (Pretty.sort pp) xshyps @
(if status = "" then [] else [Pretty.str status]))]
else [Pretty.brk 2, Pretty.str ("[" ^ implode (replicate hlen ".") ^ status ^ "]")];
val tsymbs =
if null tags orelse not (! show_tags) then []
else [Pretty.brk 1, pretty_tags tags];
in Pretty.block (prt_term prop :: (hsymbs @ tsymbs)) end;
fun pretty_thm th =
pretty_thm_aux (Syntax.pp_global (Thm.theory_of_thm th))
{quote = true, show_hyps = false, show_status = true} [] th;
val string_of_thm = Pretty.string_of o pretty_thm;
fun pretty_thms [th] = pretty_thm th
| pretty_thms ths = Pretty.block (Pretty.fbreaks (map pretty_thm ths));
val pretty_thm_sg = pretty_thm oo Thm.transfer;
val pretty_thms_sg = pretty_thms oo (map o Thm.transfer);
(* top-level commands for printing theorems *)
val print_thm = Pretty.writeln o pretty_thm;
val print_thms = Pretty.writeln o pretty_thms;
fun prth th = (print_thm th; th);
fun prthq thq = (Seq.print (K print_thm) 100000 thq; thq);
fun prths ths = (prthq (Seq.of_list ths); ths);
(* other printing commands *)
fun pretty_ctyp cT = Syntax.pretty_typ_global (Thm.theory_of_ctyp cT) (Thm.typ_of cT);
fun string_of_ctyp cT = Syntax.string_of_typ_global (Thm.theory_of_ctyp cT) (Thm.typ_of cT);
val print_ctyp = writeln o string_of_ctyp;
fun pretty_cterm ct = Syntax.pretty_term_global (Thm.theory_of_cterm ct) (Thm.term_of ct);
fun string_of_cterm ct = Syntax.string_of_term_global (Thm.theory_of_cterm ct) (Thm.term_of ct);
val print_cterm = writeln o string_of_cterm;
(** print theory **)
val print_syntax = Syntax.print_syntax o Sign.syn_of;
(* pretty_full_theory *)
fun pretty_full_theory verbose thy =
let
val ctxt = ProofContext.init thy;
fun prt_cls c = Syntax.pretty_sort ctxt [c];
fun prt_sort S = Syntax.pretty_sort ctxt S;
fun prt_arity t (c, (_, Ss)) = Syntax.pretty_arity ctxt (t, Ss, [c]);
fun prt_typ ty = Pretty.quote (Syntax.pretty_typ ctxt ty);
val prt_typ_no_tvars = prt_typ o Logic.unvarifyT;
fun prt_term t = Pretty.quote (Syntax.pretty_term ctxt t);
val prt_term_no_vars = prt_term o Logic.unvarify;
fun prt_const (c, ty) = [Pretty.str c, Pretty.str " ::", Pretty.brk 1, prt_typ_no_tvars ty];
val prt_const' = Defs.pretty_const (Syntax.pp ctxt);
fun pretty_classrel (c, []) = prt_cls c
| pretty_classrel (c, cs) = Pretty.block
(prt_cls c :: Pretty.str " <" :: Pretty.brk 1 ::
Pretty.commas (map prt_cls cs));
fun pretty_default S = Pretty.block
[Pretty.str "default sort:", Pretty.brk 1, prt_sort S];
val tfrees = map (fn v => TFree (v, []));
fun pretty_type syn (t, ((Type.LogicalType n, _), _)) =
if syn then NONE
else SOME (prt_typ (Type (t, tfrees (Name.invents Name.context Name.aT n))))
| pretty_type syn (t, ((Type.Abbreviation (vs, U, syn'), _), _)) =
if syn <> syn' then NONE
else SOME (Pretty.block
[prt_typ (Type (t, tfrees vs)), Pretty.str " =", Pretty.brk 1, prt_typ U])
| pretty_type syn (t, ((Type.Nonterminal, _), _)) =
if not syn then NONE
else SOME (prt_typ (Type (t, [])));
val pretty_arities = maps (fn (t, ars) => map (prt_arity t) ars);
fun pretty_abbrev (c, (ty, t)) = Pretty.block
(prt_const (c, ty) @ [Pretty.str " ==", Pretty.brk 1, prt_term_no_vars t]);
fun pretty_axm (a, t) = Pretty.block [Pretty.str (a ^ ":"), Pretty.brk 1, prt_term_no_vars t];
fun pretty_finals reds = Pretty.block
(Pretty.str "final:" :: Pretty.brk 1 :: Pretty.commas (map (prt_const' o fst) reds));
fun pretty_reduct (lhs, rhs) = Pretty.block
([prt_const' lhs, Pretty.str " ->", Pretty.brk 2] @
Pretty.commas (map prt_const' (sort_wrt #1 rhs)));
fun pretty_restrict (const, name) =
Pretty.block ([prt_const' const, Pretty.brk 2, Pretty.str ("(from " ^ quote name ^ ")")]);
val axioms = (Theory.axiom_space thy, Theory.axiom_table thy);
val defs = Theory.defs_of thy;
val {restricts, reducts} = Defs.dest defs;
val {naming, syn = _, tsig, consts} = Sign.rep_sg thy;
val {constants, constraints} = Consts.dest consts;
val extern_const = NameSpace.extern (#1 constants);
val {classes, default, types, ...} = Type.rep_tsig tsig;
val (class_space, class_algebra) = classes;
val {classes, arities} = Sorts.rep_algebra class_algebra;
val clsses = NameSpace.dest_table (class_space, Symtab.make (Graph.dest classes));
val tdecls = NameSpace.dest_table types;
val arties = NameSpace.dest_table (Sign.type_space thy, arities);
fun prune_const c = not verbose andalso
member (op =) (Consts.the_tags consts c) Markup.property_internal;
val cnsts = NameSpace.extern_table (#1 constants,
Symtab.make (filter_out (prune_const o fst) (Symtab.dest (#2 constants))));
val log_cnsts = map_filter (fn (c, (ty, NONE)) => SOME (c, ty) | _ => NONE) cnsts;
val abbrevs = map_filter (fn (c, (ty, SOME t)) => SOME (c, (ty, t)) | _ => NONE) cnsts;
val cnstrs = NameSpace.extern_table constraints;
val axms = NameSpace.extern_table axioms;
val (reds0, (reds1, reds2)) = filter_out (prune_const o fst o fst) reducts
|> map (fn (lhs, rhs) =>
(apfst extern_const lhs, map (apfst extern_const) (filter_out (prune_const o fst) rhs)))
|> sort_wrt (#1 o #1)
|> List.partition (null o #2)
||> List.partition (Defs.plain_args o #2 o #1);
val rests = restricts |> map (apfst (apfst extern_const)) |> sort_wrt (#1 o #1);
in
[Pretty.strs ("names:" :: Context.display_names thy)] @
[Pretty.big_list "classes:" (map pretty_classrel clsses),
pretty_default default,
Pretty.big_list "syntactic types:" (map_filter (pretty_type true) tdecls),
Pretty.big_list "logical types:" (map_filter (pretty_type false) tdecls),
Pretty.big_list "type arities:" (pretty_arities arties),
Pretty.big_list "logical consts:" (map (Pretty.block o prt_const) log_cnsts),
Pretty.big_list "abbreviations:" (map pretty_abbrev abbrevs),
Pretty.big_list "constraints:" (map (Pretty.block o prt_const) cnstrs),
Pretty.big_list "axioms:" (map pretty_axm axms),
Pretty.strs ("oracles:" :: Thm.extern_oracles thy),
Pretty.big_list "definitions:"
[pretty_finals reds0,
Pretty.big_list "non-overloaded:" (map pretty_reduct reds1),
Pretty.big_list "overloaded:" (map pretty_reduct reds2),
Pretty.big_list "pattern restrictions:" (map pretty_restrict rests)]]
end;
(** print_goals **)
(* print_goals etc. *)
val show_consts = ref false; (*true: show consts with types in proof state output*)
(*print thm A1,...,An/B in "goal style" -- premises as numbered subgoals*)
local
fun ins_entry (x, y) =
AList.default (op =) (x, []) #>
AList.map_entry (op =) x (insert (op =) y);
val add_consts = Term.fold_aterms
(fn Const (c, T) => ins_entry (T, (c, T))
| _ => I);
val add_vars = Term.fold_aterms
(fn Free (x, T) => ins_entry (T, (x, ~1))
| Var (xi, T) => ins_entry (T, xi)
| _ => I);
val add_varsT = Term.fold_atyps
(fn TFree (x, S) => ins_entry (S, (x, ~1))
| TVar (xi, S) => ins_entry (S, xi)
| _ => I);
fun sort_idxs vs = map (apsnd (sort (prod_ord string_ord int_ord))) vs;
fun sort_cnsts cs = map (apsnd (sort_wrt fst)) cs;
fun consts_of t = sort_cnsts (add_consts t []);
fun vars_of t = sort_idxs (add_vars t []);
fun varsT_of t = rev (sort_idxs (Term.fold_types add_varsT t []));
in
fun pretty_goals_aux pp markup (msg, main) maxgoals state =
let
fun prt_atoms prt prtT (X, xs) = Pretty.block
[Pretty.block (Pretty.commas (map prt xs)), Pretty.str " ::",
Pretty.brk 1, prtT X];
fun prt_var (x, ~1) = Pretty.term pp (Syntax.free x)
| prt_var xi = Pretty.term pp (Syntax.var xi);
fun prt_varT (x, ~1) = Pretty.typ pp (TFree (x, []))
| prt_varT xi = Pretty.typ pp (TVar (xi, []));
val prt_consts = prt_atoms (Pretty.term pp o Const) (Pretty.typ pp);
val prt_vars = prt_atoms prt_var (Pretty.typ pp);
val prt_varsT = prt_atoms prt_varT (Pretty.sort pp);
fun pretty_list _ _ [] = []
| pretty_list name prt lst = [Pretty.big_list name (map prt lst)];
fun pretty_subgoal (n, A) = Pretty.markup markup
[Pretty.str (" " ^ string_of_int n ^ ". "), Pretty.term pp A];
fun pretty_subgoals As = map pretty_subgoal (1 upto length As ~~ As);
val pretty_ffpairs = pretty_list "flex-flex pairs:" (pretty_flexpair pp);
val pretty_consts = pretty_list "constants:" prt_consts o consts_of;
val pretty_vars = pretty_list "variables:" prt_vars o vars_of;
val pretty_varsT = pretty_list "type variables:" prt_varsT o varsT_of;
val {prop, tpairs, ...} = Thm.rep_thm state;
val (As, B) = Logic.strip_horn prop;
val ngoals = length As;
fun pretty_gs (types, sorts) =
(if main then [Pretty.term pp B] else []) @
(if ngoals = 0 then [Pretty.str "No subgoals!"]
else if ngoals > maxgoals then
pretty_subgoals (Library.take (maxgoals, As)) @
(if msg then [Pretty.str ("A total of " ^ string_of_int ngoals ^ " subgoals...")]
else [])
else pretty_subgoals As) @
pretty_ffpairs tpairs @
(if ! show_consts then pretty_consts prop else []) @
(if types then pretty_vars prop else []) @
(if sorts then pretty_varsT prop else []);
in
setmp show_no_free_types true
(setmp show_types (! show_types orelse ! show_sorts orelse ! show_all_types)
(setmp show_sorts false pretty_gs))
(! show_types orelse ! show_sorts orelse ! show_all_types, ! show_sorts)
end;
fun pretty_goals n th =
pretty_goals_aux (Syntax.pp_global (Thm.theory_of_thm th)) Markup.none (true, true) n th;
val print_goals = (Pretty.writeln o Pretty.chunks) oo pretty_goals;
end;
end;
structure BasicDisplay: BASIC_DISPLAY = Display;
open BasicDisplay;