(* Title: Pure/pure_thy.ML
Author: Markus Wenzel, TU Muenchen
Pure theory syntax and further logical content.
*)
signature PURE_THY =
sig
val old_appl_syntax: theory -> bool
val old_appl_syntax_setup: theory -> theory
val token_markers: string list
end;
structure Pure_Thy: PURE_THY =
struct
(* auxiliary *)
val typ = Simple_Syntax.read_typ;
val prop = Simple_Syntax.read_prop;
val tycon = Lexicon.mark_type;
val const = Lexicon.mark_const;
val qualify = Binding.qualify true Context.PureN;
fun mixfix (sy, ps, p) = Mixfix (Input.string sy, ps, p, Position.no_range);
fun infix_ (sy, p) = Infix (Input.string sy, p, Position.no_range);
fun infixr_ (sy, p) = Infixr (Input.string sy, p, Position.no_range);
fun binder (sy, p, q) = Binder (Input.string sy, p, q, Position.no_range);
fun add_deps_type c thy =
let
val n = Sign.arity_number thy c;
val typargs = map (fn a => TFree (a, [])) (Name.invent Name.context Name.aT n);
in thy |> Theory.add_deps_global "" ((Defs.Type, c), typargs) [] end
fun add_deps_const c thy =
let
val T = Logic.unvarifyT_global (Sign.the_const_type thy c);
val typargs = Sign.const_typargs thy (c, T);
in thy |> Theory.add_deps_global "" ((Defs.Const, c), typargs) [] end;
(* application syntax variants *)
val appl_syntax =
[("_appl", typ "('b \<Rightarrow> 'a) \<Rightarrow> args \<Rightarrow> logic", mixfix ("(1_/(1'(_')))", [1000, 0], 1000)),
("_appl", typ "('b \<Rightarrow> 'a) \<Rightarrow> args \<Rightarrow> aprop", mixfix ("(1_/(1'(_')))", [1000, 0], 1000))];
val applC_syntax =
[("", typ "'a \<Rightarrow> cargs", Mixfix.mixfix "_"),
("_cargs", typ "'a \<Rightarrow> cargs \<Rightarrow> cargs", mixfix ("_/ _", [1000, 1000], 1000)),
("_applC", typ "('b \<Rightarrow> 'a) \<Rightarrow> cargs \<Rightarrow> logic", mixfix ("(1_/ _)", [1000, 1000], 999)),
("_applC", typ "('b \<Rightarrow> 'a) \<Rightarrow> cargs \<Rightarrow> aprop", mixfix ("(1_/ _)", [1000, 1000], 999))];
structure Old_Appl_Syntax = Theory_Data
(
type T = bool;
val empty = false;
val extend = I;
fun merge (b1, b2) : T =
if b1 = b2 then b1
else error "Cannot merge theories with different application syntax";
);
val old_appl_syntax = Old_Appl_Syntax.get;
val old_appl_syntax_setup =
Old_Appl_Syntax.put true #>
Sign.del_syntax Syntax.mode_default applC_syntax #>
Sign.add_syntax Syntax.mode_default appl_syntax;
(* main content *)
val token_markers =
["_tfree", "_tvar", "_free", "_bound", "_loose", "_var", "_numeral", "_inner_string"];
val _ = Theory.setup
(Sign.theory_naming #>
Old_Appl_Syntax.put false #>
Sign.add_types_global
[(Binding.make ("fun", \<^here>), 2, NoSyn),
(Binding.make ("prop", \<^here>), 0, NoSyn),
(Binding.make ("itself", \<^here>), 1, NoSyn),
(Binding.make ("dummy", \<^here>), 0, NoSyn),
(qualify (Binding.make ("proof", \<^here>)), 0, NoSyn)]
#> add_deps_type "fun"
#> add_deps_type "prop"
#> add_deps_type "itself"
#> add_deps_type "dummy"
#> add_deps_type "Pure.proof"
#> Sign.add_nonterminals_global
(map (fn name => Binding.make (name, \<^here>))
(Lexicon.terminals @ ["logic", "type", "types", "sort", "classes",
"args", "cargs", "pttrn", "pttrns", "idt", "idts", "aprop", "asms",
"any", "prop'", "num_const", "float_const", "num_position",
"float_position", "index", "struct", "tid_position",
"tvar_position", "id_position", "longid_position", "var_position",
"str_position", "string_position", "cartouche_position", "type_name",
"class_name"]))
#> Sign.add_syntax Syntax.mode_default (map (fn x => (x, typ "'a", NoSyn)) token_markers)
#> Sign.add_syntax Syntax.mode_default
[("", typ "prop' \<Rightarrow> prop", Mixfix.mixfix "_"),
("", typ "logic \<Rightarrow> any", Mixfix.mixfix "_"),
("", typ "prop' \<Rightarrow> any", Mixfix.mixfix "_"),
("", typ "logic \<Rightarrow> logic", Mixfix.mixfix "'(_')"),
("", typ "prop' \<Rightarrow> prop'", Mixfix.mixfix "'(_')"),
("_constrain", typ "logic \<Rightarrow> type \<Rightarrow> logic", mixfix ("_::_", [4, 0], 3)),
("_constrain", typ "prop' \<Rightarrow> type \<Rightarrow> prop'", mixfix ("_::_", [4, 0], 3)),
("_ignore_type", typ "'a", NoSyn),
("", typ "tid_position \<Rightarrow> type", Mixfix.mixfix "_"),
("", typ "tvar_position \<Rightarrow> type", Mixfix.mixfix "_"),
("", typ "type_name \<Rightarrow> type", Mixfix.mixfix "_"),
("_type_name", typ "id \<Rightarrow> type_name", Mixfix.mixfix "_"),
("_type_name", typ "longid \<Rightarrow> type_name", Mixfix.mixfix "_"),
("_ofsort", typ "tid_position \<Rightarrow> sort \<Rightarrow> type", mixfix ("_::_", [1000, 0], 1000)),
("_ofsort", typ "tvar_position \<Rightarrow> sort \<Rightarrow> type", mixfix ("_::_", [1000, 0], 1000)),
("_dummy_ofsort", typ "sort \<Rightarrow> type", mixfix ("'_()::_", [0], 1000)),
("", typ "class_name \<Rightarrow> sort", Mixfix.mixfix "_"),
("_class_name", typ "id \<Rightarrow> class_name", Mixfix.mixfix "_"),
("_class_name", typ "longid \<Rightarrow> class_name", Mixfix.mixfix "_"),
("_dummy_sort", typ "sort", Mixfix.mixfix "'_"),
("_topsort", typ "sort", Mixfix.mixfix "{}"),
("_sort", typ "classes \<Rightarrow> sort", Mixfix.mixfix "{_}"),
("", typ "class_name \<Rightarrow> classes", Mixfix.mixfix "_"),
("_classes", typ "class_name \<Rightarrow> classes \<Rightarrow> classes", Mixfix.mixfix "_,_"),
("_tapp", typ "type \<Rightarrow> type_name \<Rightarrow> type", mixfix ("_ _", [1000, 0], 1000)),
("_tappl", typ "type \<Rightarrow> types \<Rightarrow> type_name \<Rightarrow> type", Mixfix.mixfix "((1'(_,/ _')) _)"),
("", typ "type \<Rightarrow> types", Mixfix.mixfix "_"),
("_types", typ "type \<Rightarrow> types \<Rightarrow> types", Mixfix.mixfix "_,/ _"),
("\<^type>fun", typ "type \<Rightarrow> type \<Rightarrow> type", mixfix ("(_/ \<Rightarrow> _)", [1, 0], 0)),
("_bracket", typ "types \<Rightarrow> type \<Rightarrow> type", mixfix ("([_]/ \<Rightarrow> _)", [0, 0], 0)),
("", typ "type \<Rightarrow> type", Mixfix.mixfix "'(_')"),
("\<^type>dummy", typ "type", Mixfix.mixfix "'_"),
("_type_prop", typ "'a", NoSyn),
("_lambda", typ "pttrns \<Rightarrow> 'a \<Rightarrow> logic", mixfix ("(3\<lambda>_./ _)", [0, 3], 3)),
("_abs", typ "'a", NoSyn),
("", typ "'a \<Rightarrow> args", Mixfix.mixfix "_"),
("_args", typ "'a \<Rightarrow> args \<Rightarrow> args", Mixfix.mixfix "_,/ _"),
("", typ "id_position \<Rightarrow> idt", Mixfix.mixfix "_"),
("_idtdummy", typ "idt", Mixfix.mixfix "'_"),
("_idtyp", typ "id_position \<Rightarrow> type \<Rightarrow> idt", mixfix ("_::_", [], 0)),
("_idtypdummy", typ "type \<Rightarrow> idt", mixfix ("'_()::_", [], 0)),
("", typ "idt \<Rightarrow> idt", Mixfix.mixfix "'(_')"),
("", typ "idt \<Rightarrow> idts", Mixfix.mixfix "_"),
("_idts", typ "idt \<Rightarrow> idts \<Rightarrow> idts", mixfix ("_/ _", [1, 0], 0)),
("", typ "idt \<Rightarrow> pttrn", Mixfix.mixfix "_"),
("", typ "pttrn \<Rightarrow> pttrns", Mixfix.mixfix "_"),
("_pttrns", typ "pttrn \<Rightarrow> pttrns \<Rightarrow> pttrns", mixfix ("_/ _", [1, 0], 0)),
("", typ "aprop \<Rightarrow> aprop", Mixfix.mixfix "'(_')"),
("", typ "id_position \<Rightarrow> aprop", Mixfix.mixfix "_"),
("", typ "longid_position \<Rightarrow> aprop", Mixfix.mixfix "_"),
("", typ "var_position \<Rightarrow> aprop", Mixfix.mixfix "_"),
("_DDDOT", typ "aprop", Mixfix.mixfix "\<dots>"),
("_aprop", typ "aprop \<Rightarrow> prop", Mixfix.mixfix "PROP _"),
("_asm", typ "prop \<Rightarrow> asms", Mixfix.mixfix "_"),
("_asms", typ "prop \<Rightarrow> asms \<Rightarrow> asms", Mixfix.mixfix "_;/ _"),
("_bigimpl", typ "asms \<Rightarrow> prop \<Rightarrow> prop", mixfix ("((1\<lbrakk>_\<rbrakk>)/ \<Longrightarrow> _)", [0, 1], 1)),
("_ofclass", typ "type \<Rightarrow> logic \<Rightarrow> prop", Mixfix.mixfix "(1OFCLASS/(1'(_,/ _')))"),
("_mk_ofclass", typ "dummy", NoSyn),
("_TYPE", typ "type \<Rightarrow> logic", Mixfix.mixfix "(1TYPE/(1'(_')))"),
("", typ "id_position \<Rightarrow> logic", Mixfix.mixfix "_"),
("", typ "longid_position \<Rightarrow> logic", Mixfix.mixfix "_"),
("", typ "var_position \<Rightarrow> logic", Mixfix.mixfix "_"),
("_DDDOT", typ "logic", Mixfix.mixfix "\<dots>"),
("_strip_positions", typ "'a", NoSyn),
("_position", typ "num_token \<Rightarrow> num_position", Mixfix.mixfix "_"),
("_position", typ "float_token \<Rightarrow> float_position", Mixfix.mixfix "_"),
("_constify", typ "num_position \<Rightarrow> num_const", Mixfix.mixfix "_"),
("_constify", typ "float_position \<Rightarrow> float_const", Mixfix.mixfix "_"),
("_index", typ "logic \<Rightarrow> index", Mixfix.mixfix "(\<open>unbreakable\<close>\<^bsub>_\<^esub>)"),
("_indexdefault", typ "index", Mixfix.mixfix ""),
("_indexvar", typ "index", Mixfix.mixfix "'\<index>"),
("_struct", typ "index \<Rightarrow> logic", NoSyn),
("_update_name", typ "idt", NoSyn),
("_constrainAbs", typ "'a", NoSyn),
("_position_sort", typ "tid \<Rightarrow> tid_position", Mixfix.mixfix "_"),
("_position_sort", typ "tvar \<Rightarrow> tvar_position", Mixfix.mixfix "_"),
("_position", typ "id \<Rightarrow> id_position", Mixfix.mixfix "_"),
("_position", typ "longid \<Rightarrow> longid_position", Mixfix.mixfix "_"),
("_position", typ "var \<Rightarrow> var_position", Mixfix.mixfix "_"),
("_position", typ "str_token \<Rightarrow> str_position", Mixfix.mixfix "_"),
("_position", typ "string_token \<Rightarrow> string_position", Mixfix.mixfix "_"),
("_position", typ "cartouche \<Rightarrow> cartouche_position", Mixfix.mixfix "_"),
("_type_constraint_", typ "'a", NoSyn),
("_context_const", typ "id_position \<Rightarrow> logic", Mixfix.mixfix "CONST _"),
("_context_const", typ "id_position \<Rightarrow> aprop", Mixfix.mixfix "CONST _"),
("_context_const", typ "longid_position \<Rightarrow> logic", Mixfix.mixfix "CONST _"),
("_context_const", typ "longid_position \<Rightarrow> aprop", Mixfix.mixfix "CONST _"),
("_context_xconst", typ "id_position \<Rightarrow> logic", Mixfix.mixfix "XCONST _"),
("_context_xconst", typ "id_position \<Rightarrow> aprop", Mixfix.mixfix "XCONST _"),
("_context_xconst", typ "longid_position \<Rightarrow> logic", Mixfix.mixfix "XCONST _"),
("_context_xconst", typ "longid_position \<Rightarrow> aprop", Mixfix.mixfix "XCONST _"),
(const "Pure.dummy_pattern", typ "aprop", Mixfix.mixfix "'_"),
("_sort_constraint", typ "type \<Rightarrow> prop", Mixfix.mixfix "(1SORT'_CONSTRAINT/(1'(_')))"),
(const "Pure.term", typ "logic \<Rightarrow> prop", Mixfix.mixfix "TERM _"),
(const "Pure.conjunction", typ "prop \<Rightarrow> prop \<Rightarrow> prop", infixr_ ("&&&", 2))]
#> Sign.add_syntax Syntax.mode_default applC_syntax
#> Sign.add_syntax (Print_Mode.ASCII, true)
[(tycon "fun", typ "type \<Rightarrow> type \<Rightarrow> type", mixfix ("(_/ => _)", [1, 0], 0)),
("_bracket", typ "types \<Rightarrow> type \<Rightarrow> type", mixfix ("([_]/ => _)", [0, 0], 0)),
("_lambda", typ "pttrns \<Rightarrow> 'a \<Rightarrow> logic", mixfix ("(3%_./ _)", [0, 3], 3)),
(const "Pure.eq", typ "'a \<Rightarrow> 'a \<Rightarrow> prop", infix_ ("==", 2)),
(const "Pure.all_binder", typ "idts \<Rightarrow> prop \<Rightarrow> prop", mixfix ("(3!!_./ _)", [0, 0], 0)),
(const "Pure.imp", typ "prop \<Rightarrow> prop \<Rightarrow> prop", infixr_ ("==>", 1)),
("_DDDOT", typ "aprop", Mixfix.mixfix "..."),
("_bigimpl", typ "asms \<Rightarrow> prop \<Rightarrow> prop", mixfix ("((3[| _ |])/ ==> _)", [0, 1], 1)),
("_DDDOT", typ "logic", Mixfix.mixfix "...")]
#> Sign.add_syntax ("", false)
[(const "Pure.prop", typ "prop \<Rightarrow> prop", mixfix ("_", [0], 0))]
#> Sign.add_consts
[(qualify (Binding.make ("eq", \<^here>)), typ "'a \<Rightarrow> 'a \<Rightarrow> prop", infix_ ("\<equiv>", 2)),
(qualify (Binding.make ("imp", \<^here>)), typ "prop \<Rightarrow> prop \<Rightarrow> prop", infixr_ ("\<Longrightarrow>", 1)),
(qualify (Binding.make ("all", \<^here>)), typ "('a \<Rightarrow> prop) \<Rightarrow> prop", binder ("\<And>", 0, 0)),
(qualify (Binding.make ("prop", \<^here>)), typ "prop \<Rightarrow> prop", NoSyn),
(qualify (Binding.make ("type", \<^here>)), typ "'a itself", NoSyn),
(qualify (Binding.make ("dummy_pattern", \<^here>)), typ "'a", Mixfix.mixfix "'_"),
(qualify (Binding.make ("Appt", \<^here>)), typ "Pure.proof \<Rightarrow> 'a \<Rightarrow> Pure.proof", NoSyn),
(qualify (Binding.make ("AppP", \<^here>)), typ "Pure.proof \<Rightarrow> Pure.proof \<Rightarrow> Pure.proof", NoSyn),
(qualify (Binding.make ("Abst", \<^here>)), typ "('a \<Rightarrow> Pure.proof) \<Rightarrow> Pure.proof", NoSyn),
(qualify (Binding.make ("AbsP", \<^here>)), typ "prop \<Rightarrow> (Pure.proof \<Rightarrow> Pure.proof) \<Rightarrow> Pure.proof", NoSyn),
(qualify (Binding.make ("Hyp", \<^here>)), typ "prop \<Rightarrow> Pure.proof", NoSyn),
(qualify (Binding.make ("Oracle", \<^here>)), typ "prop \<Rightarrow> Pure.proof", NoSyn),
(qualify (Binding.make ("OfClass", \<^here>)), typ "('a itself \<Rightarrow> prop) \<Rightarrow> Pure.proof", NoSyn),
(qualify (Binding.make ("MinProof", \<^here>)), typ "Pure.proof", NoSyn)]
#> add_deps_const "Pure.eq"
#> add_deps_const "Pure.imp"
#> add_deps_const "Pure.all"
#> add_deps_const "Pure.type"
#> add_deps_const "Pure.dummy_pattern"
#> Sign.parse_ast_translation Syntax_Trans.pure_parse_ast_translation
#> Sign.parse_translation Syntax_Trans.pure_parse_translation
#> Sign.print_ast_translation Syntax_Trans.pure_print_ast_translation
#> Sign.add_consts
[(qualify (Binding.make ("term", \<^here>)), typ "'a \<Rightarrow> prop", NoSyn),
(qualify (Binding.make ("sort_constraint", \<^here>)), typ "'a itself \<Rightarrow> prop", NoSyn),
(qualify (Binding.make ("conjunction", \<^here>)), typ "prop \<Rightarrow> prop \<Rightarrow> prop", NoSyn)]
#> Sign.local_path
#> (Global_Theory.add_defs false o map Thm.no_attributes)
[(Binding.make ("prop_def", \<^here>),
prop "(CONST Pure.prop :: prop \<Rightarrow> prop) (A::prop) \<equiv> A::prop"),
(Binding.make ("term_def", \<^here>),
prop "(CONST Pure.term :: 'a \<Rightarrow> prop) (x::'a) \<equiv> (\<And>A::prop. A \<Longrightarrow> A)"),
(Binding.make ("sort_constraint_def", \<^here>),
prop "(CONST Pure.sort_constraint :: 'a itself \<Rightarrow> prop) (CONST Pure.type :: 'a itself) \<equiv>\
\ (CONST Pure.term :: 'a itself \<Rightarrow> prop) (CONST Pure.type :: 'a itself)"),
(Binding.make ("conjunction_def", \<^here>),
prop "(A &&& B) \<equiv> (\<And>C::prop. (A \<Longrightarrow> B \<Longrightarrow> C) \<Longrightarrow> C)")] #> snd
#> fold (fn (a, prop) =>
snd o Thm.add_axiom_global (Binding.make (a, \<^here>), prop)) Proofterm.equality_axms);
end;