added pretty_sg;
added infer_types;
removed subclasses arg of add_classes;
removed old 'extend' and related stuff;
various minor internal changes;
(* Title: Pure/sign.ML
ID: $Id$
Author: Lawrence C Paulson and Markus Wenzel
The abstract type "sg" of signatures.
TODO:
clean
pure sign: elim Syntax.constrainC
*)
signature SIGN =
sig
structure Symtab: SYMTAB
structure Syntax: SYNTAX
structure Type: TYPE
sharing Symtab = Type.Symtab
local open Type Syntax in
type sg
val rep_sg: sg ->
{tsig: type_sig,
const_tab: typ Symtab.table,
syn: syntax,
stamps: string ref list}
val subsig: sg * sg -> bool
val eq_sg: sg * sg -> bool
val is_draft: sg -> bool
val const_type: sg -> string -> typ option
val classes: sg -> class list
val subsort: sg -> sort * sort -> bool (* FIXME move? *)
val norm_sort: sg -> sort -> sort (* FIXME move? *)
val print_sg: sg -> unit
val pretty_sg: sg -> Pretty.T
val pprint_sg: sg -> pprint_args -> unit
val pretty_term: sg -> term -> Pretty.T
val pretty_typ: sg -> typ -> Pretty.T
val string_of_term: sg -> term -> string
val string_of_typ: sg -> typ -> string
val pprint_term: sg -> term -> pprint_args -> unit
val pprint_typ: sg -> typ -> pprint_args -> unit
val certify_typ: sg -> typ -> typ
val certify_term: sg -> term -> term * typ * int
val read_typ: sg * (indexname -> sort option) -> string -> typ
val infer_types: sg -> (indexname -> typ option) ->
(indexname -> sort option) -> term * typ -> term * (indexname * typ) list
val add_classes: (class * class list) list -> sg -> sg
val add_classrel: (class * class) list -> sg -> sg
val add_defsort: sort -> sg -> sg
val add_types: (string * int * mixfix) list -> sg -> sg
val add_tyabbrs: (string * string list * string * mixfix) list -> sg -> sg
val add_tyabbrs_i: (string * string list * typ * mixfix) list -> sg -> sg
val add_arities: (string * sort list * sort) list -> sg -> sg
val add_consts: (string * string * mixfix) list -> sg -> sg
val add_consts_i: (string * typ * mixfix) list -> sg -> sg
val add_syntax: (string * string * mixfix) list -> sg -> sg
val add_syntax_i: (string * typ * mixfix) list -> sg -> sg
val add_trfuns:
(string * (ast list -> ast)) list *
(string * (term list -> term)) list *
(string * (term list -> term)) list *
(string * (ast list -> ast)) list -> sg -> sg
val add_trrules: xrule list -> sg -> sg
val add_name: string -> sg -> sg
val make_draft: sg -> sg
val merge: sg * sg -> sg
val pure: sg
val const_of_class: class -> string
val class_of_const: string -> class
end
end;
functor SignFun(structure Syntax: SYNTAX and Type: TYPE): SIGN =
struct
structure Symtab = Type.Symtab;
structure Syntax = Syntax;
structure BasicSyntax: BASIC_SYNTAX = Syntax;
structure Pretty = Syntax.Pretty;
structure Type = Type;
open BasicSyntax Type;
(** datatype sg **)
(*the "ref" in stamps ensures that no two signatures are identical -- it is
impossible to forge a signature*)
datatype sg =
Sg of {
tsig: type_sig, (*order-sorted signature of types*)
const_tab: typ Symtab.table, (*types of constants*)
syn: Syntax.syntax, (*syntax for parsing and printing*)
stamps: string ref list}; (*unique theory indentifier*)
fun rep_sg (Sg args) = args;
val tsig_of = #tsig o rep_sg;
(* stamps *)
fun is_draft (Sg {stamps = ref "#" :: _, ...}) = true
| is_draft _ = false;
fun subsig (Sg {stamps = s1, ...}, Sg {stamps = s2, ...}) = s1 subset s2;
fun eq_sg (Sg {stamps = s1, ...}, Sg {stamps = s2, ...}) = eq_set (s1, s2);
(* consts *)
fun const_type (Sg {const_tab, ...}) c =
Symtab.lookup (const_tab, c);
(* classes *)
val classes = #classes o Type.rep_tsig o tsig_of;
val subsort = Type.subsort o tsig_of;
val norm_sort = Type.norm_sort o tsig_of;
(** print signature **)
val stamp_names = rev o map !;
fun print_sg sg =
let
fun prt_typ syn ty = Pretty.quote (Syntax.pretty_typ syn ty);
fun pretty_sort [cl] = Pretty.str cl
| pretty_sort cls = Pretty.str_list "{" "}" cls;
fun pretty_subclass (cl, cls) = Pretty.block
[Pretty.str (cl ^ " <"), Pretty.brk 1, pretty_sort cls];
fun pretty_default cls = Pretty.block
[Pretty.str "default:", Pretty.brk 1, pretty_sort cls];
fun pretty_arg (ty, n) = Pretty.str (ty ^ " " ^ string_of_int n);
fun pretty_abbr syn (ty, (vs, rhs)) = Pretty.block
[prt_typ syn (Type (ty, map (fn v => TVar (v, [])) vs)),
Pretty.str " =", Pretty.brk 1, prt_typ syn rhs];
fun pretty_arity ty (cl, []) = Pretty.block
[Pretty.str (ty ^ " ::"), Pretty.brk 1, Pretty.str cl]
| pretty_arity ty (cl, srts) = Pretty.block
[Pretty.str (ty ^ " ::"), Pretty.brk 1,
Pretty.list "(" ")" (map pretty_sort srts),
Pretty.brk 1, Pretty.str cl];
fun pretty_coreg (ty, ars) = map (pretty_arity ty) ars;
fun pretty_const syn (c, ty) = Pretty.block
[Pretty.str (quote c ^ " ::"), Pretty.brk 1, prt_typ syn ty];
val Sg {tsig, const_tab, syn, stamps} = sg;
val {classes, subclass, default, args, abbrs, coreg} = rep_tsig tsig;
in
Pretty.writeln (Pretty.strs ("stamps:" :: stamp_names stamps));
Pretty.writeln (Pretty.strs ("classes:" :: classes));
Pretty.writeln (Pretty.big_list "subclass:" (map pretty_subclass subclass));
Pretty.writeln (pretty_default default);
Pretty.writeln (Pretty.big_list "types:" (map pretty_arg args));
Pretty.writeln (Pretty.big_list "abbrs:" (map (pretty_abbr syn) abbrs));
Pretty.writeln (Pretty.big_list "coreg:" (flat (map pretty_coreg coreg)));
Pretty.writeln (Pretty.big_list "consts:"
(map (pretty_const syn) (Symtab.dest const_tab)))
end;
fun pretty_sg (Sg {stamps, ...}) =
Pretty.str_list "{" "}" (stamp_names stamps);
val pprint_sg = Pretty.pprint o pretty_sg;
(** pretty printing of terms and types **)
fun pretty_term (Sg {syn, ...}) = Syntax.pretty_term syn;
fun pretty_typ (Sg {syn, ...}) = Syntax.pretty_typ syn;
fun string_of_term (Sg {syn, ...}) = Syntax.string_of_term syn;
fun string_of_typ (Sg {syn, ...}) = Syntax.string_of_typ syn;
fun pprint_term sg = Pretty.pprint o Pretty.quote o (pretty_term sg);
fun pprint_typ sg = Pretty.pprint o Pretty.quote o (pretty_typ sg);
(** read types **) (*exception ERROR*)
fun err_in_type s =
error ("The error(s) above occurred in type " ^ quote s);
fun read_raw_typ syn tsig sort_of str =
Syntax.read_typ syn (fn x => if_none (sort_of x) (defaultS tsig)) str
handle ERROR => err_in_type str;
(*read and certify typ wrt a signature*)
fun read_typ (Sg {tsig, syn, ...}, sort_of) str =
cert_typ tsig (read_raw_typ syn tsig sort_of str)
handle TYPE (msg, _, _) => (writeln msg; err_in_type str);
(** certify types and terms **) (*exception TYPE*)
fun certify_typ (Sg {tsig, ...}) ty = cert_typ tsig ty;
fun mapfilt_atoms f (Abs (_, _, t)) = mapfilt_atoms f t
| mapfilt_atoms f (t $ u) = mapfilt_atoms f t @ mapfilt_atoms f u
| mapfilt_atoms f a = (case f a of Some y => [y] | None => []);
fun certify_term (sg as Sg {tsig, ...}) tm =
let
fun valid_const a T =
(case const_type sg a of
Some U => typ_instance (tsig, T, U)
| _ => false);
fun atom_err (Const (a, T)) =
if valid_const a T then None
else Some ("Illegal type for constant " ^ quote a ^ " :: " ^
quote (string_of_typ sg T))
| atom_err (Var ((x, i), _)) =
if i < 0 then Some ("Negative index for Var " ^ quote x) else None
| atom_err _ = None;
val norm_tm =
(case it_term_types (typ_errors tsig) (tm, []) of
[] => map_term_types (norm_typ tsig) tm
| errs => raise_type (cat_lines errs) [] [tm]);
in
(case mapfilt_atoms atom_err norm_tm of
[] => (norm_tm, type_of norm_tm, maxidx_of_term norm_tm)
| errs => raise_type (cat_lines errs) [] [norm_tm])
end;
(** infer_types **) (*exception ERROR*) (* FIXME check *)
fun infer_types sg types sorts (t, T) =
let
val Sg {tsig, ...} = sg;
val show_typ = string_of_typ sg;
val show_term = string_of_term sg;
fun term_err [] = ""
| term_err [t] = "\nInvolving this term:\n" ^ show_term t
| term_err ts = "\nInvolving these terms:\n" ^ cat_lines (map show_term ts);
val T' = certify_typ sg T
handle TYPE (msg, _, _) => error msg;
val (t', tye) = Type.infer_types (tsig, const_type sg, types, sorts, T', t)
handle TYPE (msg, Ts, ts) => error ("Type checking error: " ^ msg ^ "\n"
^ cat_lines (map show_typ Ts) ^ term_err ts);
in (t', tye) end;
(** extend signature **) (*exception ERROR*)
(* FIXME -> type.ML *)
(* FIXME replace? *)
fun varify_typ (Type (t, tys)) = Type (t, map varify_typ tys)
| varify_typ (TFree (a, s)) = TVar ((a, 0), s)
| varify_typ (ty as TVar _) =
raise_type "Illegal schematic type variable" [ty] [];
(* fake newstyle interfaces *) (* FIXME -> type.ML *)
fun ext_tsig_classes tsig classes =
extend_tsig tsig (classes, [], [], []);
fun ext_tsig_types tsig types =
extend_tsig tsig ([], [], map (fn (t, n) => ([t], n)) types, []);
(* FIXME varify_typ, rem_sorts; norm_typ (?) *)
fun ext_tsig_abbrs tsig abbrs = Type.ext_tsig_abbrs tsig
(map (fn (t, vs, rhs) => (t, (map (rpair 0) vs, varifyT rhs))) abbrs);
fun ext_tsig_arities tsig arities = extend_tsig tsig
([], [], [], flat (map (fn (t, ss, cs) => map (fn c => ([t], (ss, c))) cs) arities));
(** extension functions **) (*exception ERROR*)
fun decls_of name_of mfixs =
map (fn (x, y, mx) => (name_of x mx, y)) mfixs;
(* add default sort *)
fun ext_defsort (syn, tsig, ctab) defsort =
(syn, ext_tsig_defsort tsig defsort, ctab);
(* add type constructors *)
fun ext_types (syn, tsig, ctab) types =
(Syntax.extend_type_gram syn types,
ext_tsig_types tsig (decls_of Syntax.type_name types),
ctab);
(* add type abbreviations *)
fun read_abbr syn tsig (t, vs, rhs_src) =
(t, vs, read_raw_typ syn tsig (K None) rhs_src)
handle ERROR => error ("in type abbreviation " ^ t);
fun ext_abbrs rd_abbr (syn, tsig, ctab) abbrs =
let
fun mfix_of (t, vs, _, mx) = (t, length vs, mx);
val syn1 = Syntax.extend_type_gram syn (map mfix_of abbrs);
fun decl_of (t, vs, rhs, mx) =
rd_abbr syn1 tsig (Syntax.type_name t mx, vs, rhs);
in
(syn1, ext_tsig_abbrs tsig (map decl_of abbrs), ctab)
end;
val ext_tyabbrs_i = ext_abbrs (K (K I));
val ext_tyabbrs = ext_abbrs read_abbr;
(* add type arities *)
fun ext_arities (syn, tsig, ctab) arities =
let
val tsig1 = ext_tsig_arities tsig arities;
val log_types = logical_types tsig1;
in
(Syntax.extend_log_types syn log_types, tsig1, ctab)
end;
(* add term constants and syntax *)
fun err_in_const c =
error ("in declaration of constant " ^ quote c);
fun err_dup_consts cs =
error ("Duplicate declaration of constant(s) " ^ commas_quote cs);
fun read_const syn tsig (c, ty_src, mx) =
(c, read_raw_typ syn tsig (K None) ty_src, mx)
handle ERROR => err_in_const (Syntax.const_name c mx);
(* FIXME move *)
fun no_tvars ty =
if null (typ_tvars ty) then ty
else raise_type "Illegal schematic type variable(s)" [ty] [];
fun ext_cnsts rd_const syn_only (syn, tsig, ctab) raw_consts =
let
(* FIXME clean *)
fun prep_const (c, ty, mx) = (c, varify_typ (cert_typ tsig (no_tvars ty)), mx)
handle TYPE (msg, _, _) => (writeln msg; err_in_const (Syntax.const_name c mx));
val consts = map (prep_const o rd_const syn tsig) raw_consts;
val decls =
if syn_only then []
else filter_out (equal "" o fst) (decls_of Syntax.const_name consts);
in
(Syntax.extend_const_gram syn consts, tsig,
Symtab.extend_new (ctab, decls)
handle Symtab.DUPS cs => err_dup_consts cs)
end;
val ext_consts_i = ext_cnsts (K (K I)) false;
val ext_consts = ext_cnsts read_const false;
val ext_syntax_i = ext_cnsts (K (K I)) true;
val ext_syntax = ext_cnsts read_const true;
(* add type classes *)
fun const_of_class c = c ^ "_class";
fun class_of_const c_class =
let
val c = implode (take (size c_class - 6, explode c_class));
in
if const_of_class c = c_class then c
else raise_term ("class_of_const: bad name " ^ quote c_class) []
end;
fun ext_classes (syn, tsig, ctab) classes =
let
val names = map fst classes;
val consts =
map (fn c => (const_of_class c, a_itselfT --> propT, NoSyn)) names;
in
ext_consts_i
(Syntax.extend_consts syn names, ext_tsig_classes tsig classes, ctab)
consts
end;
(* add to subclass relation *)
fun ext_classrel (syn, tsig, ctab) pairs =
(syn, ext_tsig_subclass tsig pairs, ctab);
(* add syntactic translations *)
fun ext_trfuns (syn, tsig, ctab) trfuns =
(Syntax.extend_trfuns syn trfuns, tsig, ctab);
fun ext_trrules (syn, tsig, ctab) xrules =
(Syntax.extend_trrules syn xrules, tsig, ctab);
(* build signature *)
fun ext_stamps stamps name =
let
val stmps = (case stamps of ref "#" :: ss => ss | ss => ss);
in
if exists (equal name o !) stmps then
error ("Theory already contains a " ^ quote name ^ " component")
else ref name :: stmps
end;
fun make_sign (syn, tsig, ctab) stamps name =
Sg {tsig = tsig, const_tab = ctab, syn = syn,
stamps = ext_stamps stamps name};
fun extend_sign extfun name decls (Sg {tsig, const_tab, syn, stamps}) =
make_sign (extfun (syn, tsig, const_tab) decls) stamps name;
(* the external interfaces *)
val add_classes = extend_sign ext_classes "#";
val add_classrel = extend_sign ext_classrel "#";
val add_defsort = extend_sign ext_defsort "#";
val add_types = extend_sign ext_types "#";
val add_tyabbrs = extend_sign ext_tyabbrs "#";
val add_tyabbrs_i = extend_sign ext_tyabbrs_i "#";
val add_arities = extend_sign ext_arities "#";
val add_consts = extend_sign ext_consts "#";
val add_consts_i = extend_sign ext_consts_i "#";
val add_syntax = extend_sign ext_syntax "#";
val add_syntax_i = extend_sign ext_syntax_i "#";
val add_trfuns = extend_sign ext_trfuns "#";
val add_trrules = extend_sign ext_trrules "#";
fun add_name name sg = extend_sign K name () sg;
val make_draft = add_name "#";
(** merge signatures **) (*exception TERM*)
fun merge (sg1, sg2) =
if subsig (sg2, sg1) then sg1
else if subsig (sg1, sg2) then sg2
else if is_draft sg1 orelse is_draft sg2 then
raise_term "Illegal merge of draft signatures" []
else
(*neither is union already; must form union*)
let
val Sg {tsig = tsig1, const_tab = const_tab1, syn = syn1,
stamps = stamps1} = sg1;
val Sg {tsig = tsig2, const_tab = const_tab2, syn = syn2,
stamps = stamps2} = sg2;
val stamps = merge_rev_lists stamps1 stamps2;
val _ =
(case duplicates (stamp_names stamps) of
[] => ()
| dups => raise_term ("Attempt to merge different versions of theories "
^ commas_quote dups) []);
val tsig = merge_tsigs (tsig1, tsig2);
val const_tab = Symtab.merge (op =) (const_tab1, const_tab2)
handle Symtab.DUPS cs =>
raise_term ("Incompatible types for constant(s) " ^ commas_quote cs) [];
val syn = Syntax.merge_syntaxes syn1 syn2;
in
Sg {tsig = tsig, const_tab = const_tab, syn = syn, stamps = stamps}
end;
(** the Pure signature **)
val pure =
make_sign (Syntax.type_syn, tsig0, Symtab.null) [] "#"
|> add_types
(("fun", 2, NoSyn) ::
("prop", 0, NoSyn) ::
("itself", 1, NoSyn) ::
Syntax.pure_types)
|> add_classes [(logicC, [])]
|> add_defsort logicS
|> add_arities
[("fun", [logicS, logicS], logicS),
("prop", [], logicS),
("itself", [logicS], logicS)]
|> add_syntax Syntax.pure_syntax
|> add_trfuns Syntax.pure_trfuns
|> add_consts
[("==", "['a::{}, 'a] => prop", Mixfix ("(_ ==/ _)", [3, 2], 2)),
("=?=", "['a::{}, 'a] => prop", Mixfix ("(_ =?=/ _)", [3, 2], 2)),
("==>", "[prop, prop] => prop", Mixfix ("(_ ==>/ _)", [2, 1], 1)),
("all", "('a => prop) => prop", Binder ("!!", 0)),
("TYPE", "'a itself", NoSyn)(*,(* FIXME *)
(Syntax.constrainC, "'a::{} => 'a", NoSyn)*)]
|> add_name "Pure";
end;