(* 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
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 typeT = Syntax_Ext.typeT;
val spropT = Syntax_Ext.spropT;
(* 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", Delimfix "_"),
("_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_modesyntax_i Syntax.mode_default applC_syntax #>
Sign.add_syntax_i appl_syntax;
(* main content *)
val _ = Context.>> (Context.map_theory
(Sign.map_naming (Name_Space.set_theory_name Context.PureN) #>
Old_Appl_Syntax.put false #>
Sign.add_types
[(Binding.name "fun", 2, NoSyn),
(Binding.name "prop", 0, NoSyn),
(Binding.name "itself", 1, NoSyn),
(Binding.name "dummy", 0, NoSyn)]
#> Sign.add_nonterminals (map Binding.name Syntax.basic_nonterms)
#> Sign.add_syntax_i
[("", typ "tid => type", Delimfix "_"),
("", typ "tvar => type", Delimfix "_"),
("", typ "type_name => type", Delimfix "_"),
("_type_name", typ "id => type_name", Delimfix "_"),
("_type_name", typ "longid => type_name", Delimfix "_"),
("_ofsort", typ "tid => sort => type", Mixfix ("_::_", [Syntax.max_pri, 0], Syntax.max_pri)),
("_ofsort", typ "tvar => sort => type", Mixfix ("_::_", [Syntax.max_pri, 0], Syntax.max_pri)),
("_dummy_ofsort", typ "sort => type", Mixfix ("'_()::_", [0], Syntax.max_pri)),
("", typ "class_name => sort", Delimfix "_"),
("_class_name", typ "id => class_name", Delimfix "_"),
("_class_name", typ "longid => class_name", Delimfix "_"),
("_topsort", typ "sort", Delimfix "{}"),
("_sort", typ "classes => sort", Delimfix "{_}"),
("", typ "class_name => classes", Delimfix "_"),
("_classes", typ "class_name => classes => classes", Delimfix "_,_"),
("_tapp", typ "type => type_name => type", Mixfix ("_ _", [Syntax.max_pri, 0], Syntax.max_pri)),
("_tappl", typ "type => types => type_name => type", Delimfix "((1'(_,/ _')) _)"),
("", typ "type => types", Delimfix "_"),
("_types", typ "type => types => types", Delimfix "_,/ _"),
("\\<^type>fun", typ "type => type => type", Mixfix ("(_/ => _)", [1, 0], 0)),
("_bracket", typ "types => type => type", Mixfix ("([_]/ => _)", [0, 0], 0)),
("", typ "type => type", Delimfix "'(_')"),
("\\<^type>dummy", typ "type", Delimfix "'_"),
("_type_prop", typ "'a", NoSyn),
("_lambda", typ "pttrns => 'a => logic", Mixfix ("(3%_./ _)", [0, 3], 3)),
("_abs", typ "'a", NoSyn),
("", typ "'a => args", Delimfix "_"),
("_args", typ "'a => args => args", Delimfix "_,/ _"),
("", typ "id_position => idt", Delimfix "_"),
("_idtdummy", typ "idt", Delimfix "'_"),
("_idtyp", typ "id_position => type => idt", Mixfix ("_::_", [], 0)),
("_idtypdummy", typ "type => idt", Mixfix ("'_()::_", [], 0)),
("", typ "idt => idt", Delimfix "'(_')"),
("", typ "idt => idts", Delimfix "_"),
("_idts", typ "idt => idts => idts", Mixfix ("_/ _", [1, 0], 0)),
("", typ "idt => pttrn", Delimfix "_"),
("", typ "pttrn => pttrns", Delimfix "_"),
("_pttrns", typ "pttrn => pttrns => pttrns", Mixfix ("_/ _", [1, 0], 0)),
("", typ "aprop => aprop", Delimfix "'(_')"),
("", typ "id_position => aprop", Delimfix "_"),
("", typ "longid_position => aprop", Delimfix "_"),
("", typ "var => aprop", Delimfix "_"),
("_DDDOT", typ "aprop", Delimfix "..."),
("_aprop", typ "aprop => prop", Delimfix "PROP _"),
("_asm", typ "prop => asms", Delimfix "_"),
("_asms", typ "prop => asms => asms", Delimfix "_;/ _"),
("_bigimpl", typ "asms => prop => prop", Mixfix ("((3[| _ |])/ ==> _)", [0, 1], 1)),
("_ofclass", typ "type => logic => prop", Delimfix "(1OFCLASS/(1'(_,/ _')))"),
("_mk_ofclass", typ "dummy", NoSyn),
("_TYPE", typ "type => logic", Delimfix "(1TYPE/(1'(_')))"),
("", typ "id_position => logic", Delimfix "_"),
("", typ "longid_position => logic", Delimfix "_"),
("", typ "var => logic", Delimfix "_"),
("_DDDOT", typ "logic", Delimfix "..."),
("_strip_positions", typ "'a", NoSyn),
("_constify", typ "num => num_const", Delimfix "_"),
("_constify", typ "float_token => float_const", Delimfix "_"),
("_indexnum", typ "num_const => index", Delimfix "\\<^sub>_"),
("_index", typ "logic => index", Delimfix "(00\\<^bsub>_\\<^esub>)"),
("_indexdefault", typ "index", Delimfix ""),
("_indexvar", typ "index", Delimfix "'\\<index>"),
("_struct", typ "index => logic", Mixfix ("\\<struct>_", [1000], 1000)),
("_update_name", typ "idt", NoSyn),
("_constrainAbs", typ "'a", NoSyn),
("_constrain_position", typ "id => id_position", Delimfix "_"),
("_constrain_position", typ "longid => longid_position", Delimfix "_"),
("_type_constraint_", typ "'a", NoSyn),
(const "==>", typ "prop => prop => prop", Delimfix "op ==>"),
(const Term.dummy_patternN, typ "aprop", Delimfix "'_"),
("_sort_constraint", typ "type => prop", Delimfix "(1SORT'_CONSTRAINT/(1'(_')))"),
(const "Pure.term", typ "logic => prop", Delimfix "TERM _"),
(const "Pure.conjunction", typ "prop => prop => prop", Infixr ("&&&", 2))]
#> Sign.add_syntax_i applC_syntax
#> Sign.add_modesyntax_i (Symbol.xsymbolsN, true)
[(tycon "fun", typ "type => type => type", Mixfix ("(_/ \\<Rightarrow> _)", [1, 0], 0)),
("_bracket", typ "types => type => type", Mixfix ("([_]/ \\<Rightarrow> _)", [0, 0], 0)),
("_ofsort", typ "tid => sort => type", Mixfix ("_\\<Colon>_", [1000, 0], 1000)),
("_constrain", typ "logic => type => logic", Mixfix ("_\\<Colon>_", [4, 0], 3)),
("_constrain", [spropT, typeT] ---> spropT, Mixfix ("_\\<Colon>_", [4, 0], 3)),
("_idtyp", typ "id_position => type => idt", Mixfix ("_\\<Colon>_", [], 0)),
("_idtypdummy", typ "type => idt", Mixfix ("'_()\\<Colon>_", [], 0)),
("_lambda", typ "pttrns => 'a => logic", Mixfix ("(3\\<lambda>_./ _)", [0, 3], 3)),
(const "==", typ "'a => 'a => prop", Infixr ("\\<equiv>", 2)),
(const "all_binder", typ "idts => prop => prop", Mixfix ("(3\\<And>_./ _)", [0, 0], 0)),
(const "==>", typ "prop => prop => prop", Infixr ("\\<Longrightarrow>", 1)),
("_DDDOT", typ "aprop", Delimfix "\\<dots>"),
("_bigimpl", typ "asms => prop => prop", Mixfix ("((1\\<lbrakk>_\\<rbrakk>)/ \\<Longrightarrow> _)", [0, 1], 1)),
("_DDDOT", typ "logic", Delimfix "\\<dots>")]
#> Sign.add_modesyntax_i ("", false)
[(const "prop", typ "prop => prop", Mixfix ("_", [0], 0))]
#> Sign.add_modesyntax_i ("HTML", false)
[("_lambda", typ "pttrns => 'a => logic", Mixfix ("(3\\<lambda>_./ _)", [0, 3], 3))]
#> Sign.add_consts_i
[(Binding.name "==", typ "'a => 'a => prop", Infixr ("==", 2)),
(Binding.name "==>", typ "prop => prop => prop", Mixfix ("(_/ ==> _)", [2, 1], 1)),
(Binding.name "all", typ "('a => prop) => prop", Binder ("!!", 0, 0)),
(Binding.name "prop", typ "prop => prop", NoSyn),
(Binding.name "TYPE", typ "'a itself", NoSyn),
(Binding.name Term.dummy_patternN, typ "'a", Delimfix "'_")]
#> Theory.add_deps "==" ("==", typ "'a => 'a => prop") []
#> Theory.add_deps "==>" ("==>", typ "prop => prop => prop") []
#> Theory.add_deps "all" ("all", typ "('a => prop) => prop") []
#> Theory.add_deps "TYPE" ("TYPE", typ "'a itself") []
#> Theory.add_deps Term.dummy_patternN (Term.dummy_patternN, typ "'a") []
#> Sign.add_trfuns Syntax_Trans.pure_trfuns
#> Sign.local_path
#> Sign.add_consts_i
[(Binding.name "term", typ "'a => prop", NoSyn),
(Binding.name "sort_constraint", typ "'a itself => prop", NoSyn),
(Binding.name "conjunction", typ "prop => prop => prop", NoSyn)]
#> (Global_Theory.add_defs false o map Thm.no_attributes)
[(Binding.name "prop_def", prop "(CONST prop :: prop => prop) (A::prop) == A::prop"),
(Binding.name "term_def", prop "(CONST Pure.term :: 'a => prop) (x::'a) == (!!A::prop. A ==> A)"),
(Binding.name "sort_constraint_def",
prop "(CONST Pure.sort_constraint :: 'a itself => prop) (CONST TYPE :: 'a itself) ==\
\ (CONST Pure.term :: 'a itself => prop) (CONST TYPE :: 'a itself)"),
(Binding.name "conjunction_def", prop "(A &&& B) == (!!C::prop. (A ==> B ==> C) ==> C)")] #> snd
#> Sign.hide_const false "Pure.term"
#> Sign.hide_const false "Pure.sort_constraint"
#> Sign.hide_const false "Pure.conjunction"
#> Global_Theory.add_thmss [((Binding.name "nothing", []), [])] #> snd
#> fold (fn (a, prop) => snd o Thm.add_axiom (Binding.name a, prop)) Proofterm.equality_axms));
end;