(* 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
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);
(* application syntax variants *)
val appl_syntax =
[("_appl", typ "('b => 'a) => args => logic", mixfix ("(1_/(1'(_')))", [1000, 0], 1000)),
("_appl", typ "('b => 'a) => args => aprop", mixfix ("(1_/(1'(_')))", [1000, 0], 1000))];
val applC_syntax =
[("", typ "'a => cargs", Mixfix.mixfix "_"),
("_cargs", typ "'a => cargs => cargs", mixfix ("_/ _", [1000, 1000], 1000)),
("_applC", typ "('b => 'a) => cargs => logic", mixfix ("(1_/ _)", [1000, 1000], 999)),
("_applC", typ "('b => 'a) => cargs => 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.map_naming (Name_Space.set_theory_name Context.PureN) #>
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)]
#> Theory.add_deps_global "fun" ((Defs.Type, "fun"), [typ "'a", typ "'b"]) []
#> Theory.add_deps_global "prop" ((Defs.Type, "prop"), []) []
#> Theory.add_deps_global "itself" ((Defs.Type, "itself"), [typ "'a"]) []
#> Theory.add_deps_global "dummy" ((Defs.Type, "dummy"), []) []
#> 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' => prop", Mixfix.mixfix "_"),
("", typ "logic => any", Mixfix.mixfix "_"),
("", typ "prop' => any", Mixfix.mixfix "_"),
("", typ "logic => logic", Mixfix.mixfix "'(_')"),
("", typ "prop' => prop'", Mixfix.mixfix "'(_')"),
("_constrain", typ "logic => type => logic", mixfix ("_::_", [4, 0], 3)),
("_constrain", typ "prop' => type => prop'", mixfix ("_::_", [4, 0], 3)),
("_ignore_type", typ "'a", NoSyn),
("", typ "tid_position => type", Mixfix.mixfix "_"),
("", typ "tvar_position => type", Mixfix.mixfix "_"),
("", typ "type_name => type", Mixfix.mixfix "_"),
("_type_name", typ "id => type_name", Mixfix.mixfix "_"),
("_type_name", typ "longid => type_name", Mixfix.mixfix "_"),
("_ofsort", typ "tid_position => sort => type", mixfix ("_::_", [1000, 0], 1000)),
("_ofsort", typ "tvar_position => sort => type", mixfix ("_::_", [1000, 0], 1000)),
("_dummy_ofsort", typ "sort => type", mixfix ("'_()::_", [0], 1000)),
("", typ "class_name => sort", Mixfix.mixfix "_"),
("_class_name", typ "id => class_name", Mixfix.mixfix "_"),
("_class_name", typ "longid => class_name", Mixfix.mixfix "_"),
("_topsort", typ "sort", Mixfix.mixfix "{}"),
("_sort", typ "classes => sort", Mixfix.mixfix "{_}"),
("", typ "class_name => classes", Mixfix.mixfix "_"),
("_classes", typ "class_name => classes => classes", Mixfix.mixfix "_,_"),
("_tapp", typ "type => type_name => type", mixfix ("_ _", [1000, 0], 1000)),
("_tappl", typ "type => types => type_name => type", Mixfix.mixfix "((1'(_,/ _')) _)"),
("", typ "type => types", Mixfix.mixfix "_"),
("_types", typ "type => types => types", Mixfix.mixfix "_,/ _"),
("\<^type>fun", typ "type => type => type", mixfix ("(_/ \<Rightarrow> _)", [1, 0], 0)),
("_bracket", typ "types => type => type", mixfix ("([_]/ \<Rightarrow> _)", [0, 0], 0)),
("", typ "type => type", Mixfix.mixfix "'(_')"),
("\<^type>dummy", typ "type", Mixfix.mixfix "'_"),
("_type_prop", typ "'a", NoSyn),
("_lambda", typ "pttrns => 'a => logic", mixfix ("(3\<lambda>_./ _)", [0, 3], 3)),
("_abs", typ "'a", NoSyn),
("", typ "'a => args", Mixfix.mixfix "_"),
("_args", typ "'a => args => args", Mixfix.mixfix "_,/ _"),
("", typ "id_position => idt", Mixfix.mixfix "_"),
("_idtdummy", typ "idt", Mixfix.mixfix "'_"),
("_idtyp", typ "id_position => type => idt", mixfix ("_::_", [], 0)),
("_idtypdummy", typ "type => idt", mixfix ("'_()::_", [], 0)),
("", typ "idt => idt", Mixfix.mixfix "'(_')"),
("", typ "idt => idts", Mixfix.mixfix "_"),
("_idts", typ "idt => idts => idts", mixfix ("_/ _", [1, 0], 0)),
("", typ "idt => pttrn", Mixfix.mixfix "_"),
("", typ "pttrn => pttrns", Mixfix.mixfix "_"),
("_pttrns", typ "pttrn => pttrns => pttrns", mixfix ("_/ _", [1, 0], 0)),
("", typ "aprop => aprop", Mixfix.mixfix "'(_')"),
("", typ "id_position => aprop", Mixfix.mixfix "_"),
("", typ "longid_position => aprop", Mixfix.mixfix "_"),
("", typ "var_position => aprop", Mixfix.mixfix "_"),
("_DDDOT", typ "aprop", Mixfix.mixfix "\<dots>"),
("_aprop", typ "aprop => prop", Mixfix.mixfix "PROP _"),
("_asm", typ "prop => asms", Mixfix.mixfix "_"),
("_asms", typ "prop => asms => asms", Mixfix.mixfix "_;/ _"),
("_bigimpl", typ "asms => prop => prop", mixfix ("((1\<lbrakk>_\<rbrakk>)/ \<Longrightarrow> _)", [0, 1], 1)),
("_ofclass", typ "type => logic => prop", Mixfix.mixfix "(1OFCLASS/(1'(_,/ _')))"),
("_mk_ofclass", typ "dummy", NoSyn),
("_TYPE", typ "type => logic", Mixfix.mixfix "(1TYPE/(1'(_')))"),
("", typ "id_position => logic", Mixfix.mixfix "_"),
("", typ "longid_position => logic", Mixfix.mixfix "_"),
("", typ "var_position => logic", Mixfix.mixfix "_"),
("_DDDOT", typ "logic", Mixfix.mixfix "\<dots>"),
("_strip_positions", typ "'a", NoSyn),
("_position", typ "num_token => num_position", Mixfix.mixfix "_"),
("_position", typ "float_token => float_position", Mixfix.mixfix "_"),
("_constify", typ "num_position => num_const", Mixfix.mixfix "_"),
("_constify", typ "float_position => float_const", Mixfix.mixfix "_"),
("_index", typ "logic => index", Mixfix.mixfix "(\<open>unbreakable\<close>\<^bsub>_\<^esub>)"),
("_indexdefault", typ "index", Mixfix.mixfix ""),
("_indexvar", typ "index", Mixfix.mixfix "'\<index>"),
("_struct", typ "index => logic", NoSyn),
("_update_name", typ "idt", NoSyn),
("_constrainAbs", typ "'a", NoSyn),
("_position_sort", typ "tid => tid_position", Mixfix.mixfix "_"),
("_position_sort", typ "tvar => tvar_position", Mixfix.mixfix "_"),
("_position", typ "id => id_position", Mixfix.mixfix "_"),
("_position", typ "longid => longid_position", Mixfix.mixfix "_"),
("_position", typ "var => var_position", Mixfix.mixfix "_"),
("_position", typ "str_token => str_position", Mixfix.mixfix "_"),
("_position", typ "string_token => string_position", Mixfix.mixfix "_"),
("_position", typ "cartouche => cartouche_position", Mixfix.mixfix "_"),
("_type_constraint_", typ "'a", NoSyn),
("_context_const", typ "id_position => logic", Mixfix.mixfix "CONST _"),
("_context_const", typ "id_position => aprop", Mixfix.mixfix "CONST _"),
("_context_const", typ "longid_position => logic", Mixfix.mixfix "CONST _"),
("_context_const", typ "longid_position => aprop", Mixfix.mixfix "CONST _"),
("_context_xconst", typ "id_position => logic", Mixfix.mixfix "XCONST _"),
("_context_xconst", typ "id_position => aprop", Mixfix.mixfix "XCONST _"),
("_context_xconst", typ "longid_position => logic", Mixfix.mixfix "XCONST _"),
("_context_xconst", typ "longid_position => aprop", Mixfix.mixfix "XCONST _"),
(const "Pure.dummy_pattern", typ "aprop", Mixfix.mixfix "'_"),
("_sort_constraint", typ "type => prop", Mixfix.mixfix "(1SORT'_CONSTRAINT/(1'(_')))"),
(const "Pure.term", typ "logic => prop", Mixfix.mixfix "TERM _"),
(const "Pure.conjunction", typ "prop => prop => prop", infixr_ ("&&&", 2))]
#> Sign.add_syntax Syntax.mode_default applC_syntax
#> Sign.add_syntax (Print_Mode.ASCII, true)
[(tycon "fun", typ "type => type => type", mixfix ("(_/ => _)", [1, 0], 0)),
("_bracket", typ "types => type => type", mixfix ("([_]/ => _)", [0, 0], 0)),
("_lambda", typ "pttrns => 'a => logic", mixfix ("(3%_./ _)", [0, 3], 3)),
(const "Pure.eq", typ "'a => 'a => prop", infix_ ("==", 2)),
(const "Pure.all_binder", typ "idts => prop => prop", mixfix ("(3!!_./ _)", [0, 0], 0)),
(const "Pure.imp", typ "prop => prop => prop", infixr_ ("==>", 1)),
("_DDDOT", typ "aprop", Mixfix.mixfix "..."),
("_bigimpl", typ "asms => prop => prop", mixfix ("((3[| _ |])/ ==> _)", [0, 1], 1)),
("_DDDOT", typ "logic", Mixfix.mixfix "...")]
#> Sign.add_syntax ("", false)
[(const "Pure.prop", typ "prop => prop", mixfix ("_", [0], 0))]
#> Sign.add_consts
[(qualify (Binding.make ("eq", @{here})), typ "'a => 'a => prop", infix_ ("\<equiv>", 2)),
(qualify (Binding.make ("imp", @{here})), typ "prop => prop => prop", infixr_ ("\<Longrightarrow>", 1)),
(qualify (Binding.make ("all", @{here})), typ "('a => prop) => prop", binder ("\<And>", 0, 0)),
(qualify (Binding.make ("prop", @{here})), typ "prop => prop", NoSyn),
(qualify (Binding.make ("type", @{here})), typ "'a itself", NoSyn),
(qualify (Binding.make ("dummy_pattern", @{here})), typ "'a", Mixfix.mixfix "'_")]
#> Theory.add_deps_global "Pure.eq" ((Defs.Const, "Pure.eq"), [typ "'a"]) []
#> Theory.add_deps_global "Pure.imp" ((Defs.Const, "Pure.imp"), []) []
#> Theory.add_deps_global "Pure.all" ((Defs.Const, "Pure.all"), [typ "'a"]) []
#> Theory.add_deps_global "Pure.type" ((Defs.Const, "Pure.type"), [typ "'a"]) []
#> Theory.add_deps_global "Pure.dummy_pattern" ((Defs.Const, "Pure.dummy_pattern"), [typ "'a"]) []
#> 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 => prop", NoSyn),
(qualify (Binding.make ("sort_constraint", @{here})), typ "'a itself => prop", NoSyn),
(qualify (Binding.make ("conjunction", @{here})), typ "prop => prop => 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 => prop) (A::prop) == A::prop"),
(Binding.make ("term_def", @{here}),
prop "(CONST Pure.term :: 'a => prop) (x::'a) == (!!A::prop. A ==> A)"),
(Binding.make ("sort_constraint_def", @{here}),
prop "(CONST Pure.sort_constraint :: 'a itself => prop) (CONST Pure.type :: 'a itself) ==\
\ (CONST Pure.term :: 'a itself => prop) (CONST Pure.type :: 'a itself)"),
(Binding.make ("conjunction_def", @{here}),
prop "(A &&& B) == (!!C::prop. (A ==> B ==> C) ==> C)")] #> snd
#> fold (fn (a, prop) =>
snd o Thm.add_axiom_global (Binding.make (a, @{here}), prop)) Proofterm.equality_axms);
end;