我经常听到有人说c++是一种上下文敏感的语言。举个例子:
a b(c);
这是变量定义还是函数声明?这取决于符号c的含义。如果c是一个变量，则ab (c);定义一个名为b的类型为a的变量。它直接用c初始化。但如果c是类型，则ab (c);声明一个名为b的函数，该函数接受c并返回a。
如果您查找上下文无关语言的定义，它基本上会告诉您，所有语法规则的左侧必须恰好包含一个非终结符。另一方面，上下文敏感语法允许在左侧使用任意的终结符和非终结符字符串。
浏览“c++程序设计语言”的附录A，我找不到一条语法规则，它的左边除了一个非终结符之外，还有其他任何东西。这意味着c++是上下文无关的。(当然，每一种与上下文无关的语言也是与上下文相关的，因为与上下文无关的语言构成了与上下文相关的语言的一个子集，但这不是重点。)
那么，c++是上下文无关的还是上下文敏感的?
当前回答
这个答案说c++不是上下文无关的…有一个暗示(不是由回答者)，它不能被解析，回答提供了一个困难的代码示例，如果某个常数不是质数，就会产生一个无效的c++程序。
正如其他人所观察到的，关于语言是否上下文敏感/自由的问题与关于特定语法的相同问题是不同的。
为了解决可解析性的问题，我提供了经验证据，证明c++中存在可以使用的上下文无关语法 生成一个AST，用于源文本的上下文无关的解析 实际上是通过使用现有的基于glr解析器的工具进行解析，该工具由显式语法驱动。
Yes, it succeeds by "accepting too much"; not everything it accepts is a valid C++ program, which is why it's followed up with additional checks (type checks). And yes, the type checker may run into computability problems. In practice tools don't have this problem; if people wrote programs like that, none of them would compile. (I think the standard actually puts a limit on the amount of computation you can do unfolding a template, so in fact the computation is actually finite but probably pretty big).
如果您的意思是，则确定源程序是否是成员 的集合有效的c++源程序，那么我将同意 问题就难多了。但问题并不在于解析。
The tool resolves this issue by isolating parsing from type-checking the parsed program. (Where there are multiple interpretations in the absence of context, it records an ambiguity node in the parse tree with several possible parses; the type checking decides which one is correct and eliminates the invalid subtrees). You can see a (partial) parse tree in the example below; the whole tree is too large to fit in an SO answer. Note you get a parse tree whether the value 234797 or 234799 is used.
在原始值为234799的AST上运行工具的名称/类型解析器成功。如果值为234797，名称解析器将失败(正如预期的那样)，并给出错误消息“typen不是类型”，因此该版本不是有效的c++程序。
967 tree nodes in tree.
15 ambiguity nodes in tree.
(translation_unit@Cpp~GCC5=2#6b11a20^0 Line 1 Column 1 File C:/temp/prime_with_templates.cpp
(declaration_seq@Cpp~GCC5=1021#6b06640^1#6b11a20:1 {10} Line 1 Column 1 File C:/temp/prime_with_templates.cpp
(pp_declaration_seq@Cpp~GCC5=1022#6b049a0^1#6b06640:1 Line 1 Column 1 File C:/temp/prime_with_templates.cpp
(declaration@Cpp~GCC5=1036#6b04980^1#6b049a0:1 Line 1 Column 1 File C:/temp/prime_with_templates.cpp
|(template_declaration@Cpp~GCC5=2079#6b04960^1#6b04980:1 Line 1 Column 1 File C:/temp/prime_with_templates.cpp
| (template_parameter_list@Cpp~GCC5=2082#6afbde0^1#6b04960:1 Line 1 Column 10 File C:/temp/prime_with_templates.cpp
| (template_parameter@Cpp~GCC5=2085#6afbd80^1#6afbde0:1 Line 1 Column 10 File C:/temp/prime_with_templates.cpp
| (parameter_declaration@Cpp~GCC5=1611#6afbd40^1#6afbd80:1 Line 1 Column 10 File C:/temp/prime_with_templates.cpp
| |(basic_decl_specifier_seq@Cpp~GCC5=1070#6afb880^1#6afbd40:1 Line 1 Column 10 File C:/temp/prime_with_templates.cpp
| | (decl_specifier@Cpp~GCC5=1073#6afb840^1#6afb880:1 Line 1 Column 10 File C:/temp/prime_with_templates.cpp
| | (trailing_type_specifier@Cpp~GCC5=1118#6afb7e0^1#6afb840:1 Line 1 Column 10 File C:/temp/prime_with_templates.cpp
| | (simple_type_specifier@Cpp~GCC5=1138#6afb7a0^1#6afb7e0:1 Line 1 Column 10 File C:/temp/prime_with_templates.cpp)simple_type_specifier
| | )trailing_type_specifier#6afb7e0
| | )decl_specifier#6afb840
| |)basic_decl_specifier_seq#6afb880
| |(ptr_declarator@Cpp~GCC5=1417#6afbc40^1#6afbd40:2 Line 1 Column 15 File C:/temp/prime_with_templates.cpp
| | (noptr_declarator@Cpp~GCC5=1421#6afbba0^1#6afbc40:1 Line 1 Column 15 File C:/temp/prime_with_templates.cpp
| | (declarator_id@Cpp~GCC5=1487#6afbb80^1#6afbba0:1 Line 1 Column 15 File C:/temp/prime_with_templates.cpp
| | (id_expression@Cpp~GCC5=317#6afbaa0^1#6afbb80:1 Line 1 Column 15 File C:/temp/prime_with_templates.cpp
| | |(unqualified_id@Cpp~GCC5=319#6afb9c0^1#6afbaa0:1 Line 1 Column 15 File C:/temp/prime_with_templates.cpp
| | | (IDENTIFIER@Cpp~GCC5=3368#6afb780^1#6afb9c0:1[`V'] Line 1 Column 15 File C:/temp/prime_with_templates.cpp)IDENTIFIER
| | |)unqualified_id#6afb9c0
| | )id_expression#6afbaa0
| | )declarator_id#6afbb80
| | )noptr_declarator#6afbba0
| |)ptr_declarator#6afbc40
| )parameter_declaration#6afbd40
| )template_parameter#6afbd80
| )template_parameter_list#6afbde0
| (declaration@Cpp~GCC5=1033#6b04940^1#6b04960:2 Line 1 Column 18 File C:/temp/prime_with_templates.cpp
| (block_declaration@Cpp~GCC5=1050#6b04920^1#6b04940:1 Line 1 Column 18 File C:/temp/prime_with_templates.cpp
| (simple_declaration@Cpp~GCC5=1060#6b04900^1#6b04920:1 Line 1 Column 18 File C:/temp/prime_with_templates.cpp
| |(basic_decl_specifier_seq@Cpp~GCC5=1070#6b048e0^1#6b04900:1 Line 1 Column 18 File C:/temp/prime_with_templates.cpp
| | (decl_specifier@Cpp~GCC5=1073#6b048c0^1#6b048e0:1 Line 1 Column 18 File C:/temp/prime_with_templates.cpp
| | (type_specifier@Cpp~GCC5=1110#6b048a0^1#6b048c0:1 Line 1 Column 18 File C:/temp/prime_with_templates.cpp
| | (class_specifier@Cpp~GCC5=1761#6b04880^1#6b048a0:1 Line 1 Column 18 File C:/temp/prime_with_templates.cpp
| | |(class_head@Cpp~GCC5=1763#6afb980^1#6b04880:1 Line 1 Column 18 File C:/temp/prime_with_templates.cpp
| | | (class_key@Cpp~GCC5=1791#6afbca0^1#6afb980:1 Line 1 Column 18 File C:/temp/prime_with_templates.cpp)class_key
| | | (IDENTIFIER@Cpp~GCC5=3368#6afbcc0^1#6afb980:2[`answer'] Line 1 Column 25 File C:/temp/prime_with_templates.cpp)IDENTIFIER
| | | (optional_base_clause@Cpp~GCC5=1872#6afba60^1#6afb980:3 Line 1 Column 32 File C:/temp/prime_with_templates.cpp)optional_base_clause
| | |)class_head#6afb980
| | |(member_specification@Cpp~GCC5=1794#6b042e0^1#6b04880:2 {2} Line 1 Column 34 File C:/temp/prime_with_templates.cpp
| | | (member_declaration_or_access_specifier@Cpp~GCC5=1806#6b04060^1#6b042e0:1 Line 1 Column 34 File C:/temp/prime_with_templates.cpp
| | | (member_declaration@Cpp~GCC5=1822#6b04040^1#6b04060:1 Line 1 Column 34 File C:/temp/prime_with_templates.cpp
| | | (function_definition@Cpp~GCC5=1632#6b04020^1#6b04040:1 Line 1 Column 34 File C:/temp/prime_with_templates.cpp
| | | |(function_head@Cpp~GCC5=1673#6afbec0^1#6b04020:1 Line 1 Column 34 File C:/temp/prime_with_templates.cpp
| | | | (ptr_declarator@Cpp~GCC5=1417#6afbfe0^1#6afbec0:1 Line 1 Column 34 File C:/temp/prime_with_templates.cpp
| | | | (noptr_declarator@Cpp~GCC5=1422#6afbf80^1#6afbfe0:1 Line 1 Column 34 File C:/temp/prime_with_templates.cpp
| | | | (noptr_declarator@Cpp~GCC5=1421#6afbf60^1#6afbf80:1 Line 1 Column 34 File C:/temp/prime_with_templates.cpp
| | | | |(declarator_id@Cpp~GCC5=1487#6afbea0^1#6afbf60:1 Line 1 Column 34 File C:/temp/prime_with_templates.cpp
| | | | | (id_expression@Cpp~GCC5=317#6afbb40^1#6afbea0:1 Line 1 Column 34 File C:/temp/prime_with_templates.cpp
| | | | | (unqualified_id@Cpp~GCC5=319#6afbc80^1#6afbb40:1 Line 1 Column 34 File C:/temp/prime_with_templates.cpp
| | | | | (IDENTIFIER@Cpp~GCC5=3368#6afbc20^1#6afbc80:1[`answer'] Line 1 Column 34 File C:/temp/prime_with_templates.cpp)IDENTIFIER
| | | | | )unqualified_id#6afbc80
| | | | | )id_expression#6afbb40
| | | | |)declarator_id#6afbea0
| | | | )noptr_declarator#6afbf60
| | | | (parameter_declaration_clause@Cpp~GCC5=1559#6afbd00^1#6afbf80:2 Line 1 Column 41 File C:/temp/prime_with_templates.cpp
| | | | |(pp_parameter_declaration_list@Cpp~GCC5=1570#6afb940^1#6afbd00:1 Line 1 Column 41 File C:/temp/prime_with_templates.cpp
| | | | | (pp_parameter_declaration_seq@Cpp~GCC5=1574#6afb800^1#6afb940:1 Line 1 Column 41 File C:/temp/prime_with_templates.cpp
| | | | | (parameter_declaration@Cpp~GCC5=1610#6afb9a0^1#6afb800:1 Line 1 Column 41 File C:/temp/prime_with_templates.cpp
| | | | | (basic_decl_specifier_seq@Cpp~GCC5=1070#6afbf40^1#6afb9a0:1 Line 1 Column 41 File C:/temp/prime_with_templates.cpp
| | | | | |(decl_specifier@Cpp~GCC5=1073#6afbfa0^1#6afbf40:1 Line 1 Column 41 File C:/temp/prime_with_templates.cpp
| | | | | | (trailing_type_specifier@Cpp~GCC5=1118#6afbfc0^1#6afbfa0:1 Line 1 Column 41 File C:/temp/prime_with_templates.cpp
| | | | | | (simple_type_specifier@Cpp~GCC5=1140#6afb860^1#6afbfc0:1 Line 1 Column 41 File C:/temp/prime_with_templates.cpp)simple_type_specifier
| | | | | | )trailing_type_specifier#6afbfc0
| | | | | |)decl_specifier#6afbfa0
| | | | | )basic_decl_specifier_seq#6afbf40
| | | | | )parameter_declaration#6afb9a0
| | | | | )pp_parameter_declaration_seq#6afb800
| | | | |)pp_parameter_declaration_list#6afb940
| | | | )parameter_declaration_clause#6afbd00
| | | | (function_qualifiers@Cpp~GCC5=1438#6afbce0^1#6afbf80:3 Line 1 Column 46 File C:/temp/prime_with_templates.cpp)function_qualifiers
| | | | )noptr_declarator#6afbf80
| | | | )ptr_declarator#6afbfe0
| | | |)function_head#6afbec0
| | | |(function_body@Cpp~GCC5=1680#6b04000^1#6b04020:2 Line 1 Column 46 File C:/temp/prime_with_templates.cpp
| | | | (compound_statement@Cpp~GCC5=888#6afbee0^1#6b04000:1 Line 1 Column 46 File C:/temp/prime_with_templates.cpp)compound_statement
| | | |)function_body#6b04000
| | | )function_definition#6b04020
| | | )member_declaration#6b04040
| | | )member_declaration_or_access_specifier#6b04060
| | | (member_declaration_or_access_specifier@Cpp~GCC5=1806#6b042c0^1#6b042e0:2 Line 1 Column 49 File C:/temp/prime_with_templates.cpp
| | | (member_declaration@Cpp~GCC5=1822#6b04820^1#6b042c0:1 Line 1 Column 49 File C:/temp/prime_with_templates.cpp
| | | (function_definition@Cpp~GCC5=1632#6b04280^1#6b04820:1 Line 1 Column 49 File C:/temp/prime_with_templates.cpp
| | | |(function_head@Cpp~GCC5=1674#6b04220^1#6b04280:1 Line 1 Column 49 File C:/temp/prime_with_templates.cpp
| | | | (basic_decl_specifier_seq@Cpp~GCC5=1070#6b040e0^1#6b04220:1 Line 1 Column 49 File C:/temp/prime_with_templates.cpp
| | | | (decl_specifier@Cpp~GCC5=1073#6b040c0^1#6b040e0:1 Line 1 Column 49 File C:/temp/prime_with_templates.cpp
| | | | (trailing_type_specifier@Cpp~GCC5=1118#6b040a0^1#6b040c0:1 Line 1 Column 49 File C:/temp/prime_with_templates.cpp
| | | | |(simple_type_specifier@Cpp~GCC5=1138#6b04080^1#6b040a0:1 Line 1 Column 49 File C:/temp/prime_with_templates.cpp)simple_type_specifier
| | | | )trailing_type_specifier#6b040a0
| | | | )decl_specifier#6b040c0
| | | | )basic_decl_specifier_seq#6b040e0
| | | | (ptr_declarator@Cpp~GCC5=1417#6b04200^1#6b04220:2 Line 1 Column 54 File C:/temp/prime_with_templates.cpp
| | | | (noptr_declarator@Cpp~GCC5=1422#6b041e0^1#6b04200:1 Line 1 Column 54 File C:/temp/prime_with_templates.cpp
| | | | (noptr_declarator@Cpp~GCC5=1421#6b041a0^1#6b041e0:1 Line 1 Column 54 File C:/temp/prime_with_templates.cpp
| | | | |(declarator_id@Cpp~GCC5=1487#6b04180^1#6b041a0:1 Line 1 Column 54 File C:/temp/prime_with_templates.cpp
| | | | | (id_expression@Cpp~GCC5=317#6b04160^1#6b04180:1 Line 1 Column 54 File C:/temp/prime_with_templates.cpp
| | | | | (unqualified_id@Cpp~GCC5=320#6b04140^1#6b04160:1 Line 1 Column 54 File C:/temp/prime_with_templates.cpp
| | | | | (operator_function_id@Cpp~GCC5=2027#6b04120^1#6b04140:1 Line 1 Column 54 File C:/temp/prime_with_templates.cpp
| | | | | |(operator@Cpp~GCC5=2070#6b04100^1#6b04120:1 Line 1 Column 62 File C:/temp/prime_with_templates.cpp)operator
| | | | | )operator_function_id#6b04120
| | | | | )unqualified_id#6b04140
| | | | | )id_expression#6b04160
| | | | |)declarator_id#6b04180
| | | | )noptr_declarator#6b041a0
| | | | (parameter_declaration_clause@Cpp~GCC5=1558#6afba40^1#6b041e0:2 Line 1 Column 65 File C:/temp/prime_with_templates.cpp)parameter_declaration_clause
| | | | (function_qualifiers@Cpp~GCC5=1438#6b041c0^1#6b041e0:3 Line 1 Column 66 File C:/temp/prime_with_templates.cpp)function_qualifiers
| | | | )noptr_declarator#6b041e0
| | | | )ptr_declarator#6b04200
| | | |)function_head#6b04220
| | | |(function_body@Cpp~GCC5=1680#6b04300^1#6b04280:2 Line 1 Column 66 File C:/temp/prime_with_templates.cpp
| | | | (compound_statement@Cpp~GCC5=889#6b04760^1#6b04300:1 Line 1 Column 66 File C:/temp/prime_with_templates.cpp
| | | | (pp_statement_seq@Cpp~GCC5=894#6b04780^1#6b04760:1 Line 1 Column 67 File C:/temp/prime_with_templates.cpp
| | | | (statement@Cpp~GCC5=857#6b04440^1#6b04780:1 Line 1 Column 67 File C:/temp/prime_with_templates.cpp
| | | | |(jump_statement@Cpp~GCC5=1011#6afba80^1#6b04440:1 Line 1 Column 67 File C:/temp/prime_with_templates.cpp
| | | | | (pm_expression@Cpp~GCC5=551#6b04380^1#6afba80:1 Line 1 Column 74 File C:/temp/prime_with_templates.cpp
| | | | | (cast_expression@Cpp~GCC5=543#6b04360^1#6b04380:1 Line 1 Column 74 File C:/temp/prime_with_templates.cpp
| | | | | (unary_expression@Cpp~GCC5=465#6b04340^1#6b04360:1 Line 1 Column 74 File C:/temp/prime_with_templates.cpp
| | | | | |(primary_expression@Cpp~GCC5=307#6b04320^1#6b04340:1 Line 1 Column 74 File C:/temp/prime_with_templates.cpp
| | | | | | (id_expression@Cpp~GCC5=317#6b042a0^1#6b04320:1 Line 1 Column 74 File C:/temp/prime_with_templates.cpp
| | | | | | (unqualified_id@Cpp~GCC5=319#6b04260^1#6b042a0:1 Line 1 Column 74 File C:/temp/prime_with_templates.cpp
| | | | | | (IDENTIFIER@Cpp~GCC5=3368#6b04240^1#6b04260:1[`V'] Line 1 Column 74 File C:/temp/prime_with_templates.cpp)IDENTIFIER
| | | | | | )unqualified_id#6b04260
| | | | | | )id_expression#6b042a0
| | | | | |)primary_expression#6b04320
| | | | | )unary_expression#6b04340
| | | | | )cast_expression#6b04360
| | | | | )pm_expression#6b04380
| | | | |)jump_statement#6afba80
| | | | )statement#6b04440
| | | | )pp_statement_seq#6b04780
| | | | )compound_statement#6b04760
| | | |)function_body#6b04300
| | | )function_definition#6b04280
| | | )member_declaration#6b04820
| | | )member_declaration_or_access_specifier#6b042c0
| | |)member_specification#6b042e0
| | )class_specifier#6b04880
| | )type_specifier#6b048a0
| | )decl_specifier#6b048c0
| |)basic_decl_specifier_seq#6b048e0
| )simple_declaration#6b04900
| )block_declaration#6b04920
| )declaration#6b04940
|)template_declaration#6b04960
)declaration#6b04980
)pp_declaration_seq#6b049a0
(pp_declaration_seq@Cpp~GCC5=1022#6b06620^1#6b06640:2 Line 3 Column 1 File C:/temp/prime_with_templates.cpp
(declaration@Cpp~GCC5=1036#6b06600^1#6b06620:1 Line 3 Column 1 File C:/temp/prime_with_templates.cpp
|(template_declaration@Cpp~GCC5=2079#6b065e0^1#6b06600:1 Line 3 Column 1 File C:/temp/prime_with_templates.cpp
| (template_parameter_list@Cpp~GCC5=2083#6b05460^1#6b065e0:1 Line 3 Column 10 File C:/temp/prime_with_templates.cpp
| (template_parameter_list@Cpp~GCC5=2083#6b05140^1#6b05460:1 Line 3 Column 10 File C:/temp/prime_with_templates.cpp
| (template_parameter_list@Cpp~GCC5=2083#6b04ee0^1#6b05140:1 Line 3 Column 10 File C:/temp/prime_with_templates.cpp
| |(template_parameter_list@Cpp~GCC5=2082#6b04cc0^1#6b04ee0:1 Line 3 Column 10 File C:/temp/prime_with_templates.cpp
| | (template_parameter@Cpp~GCC5=2085#6b04ca0^1#6b04cc0:1 Line 3 Column 10 File C:/temp/prime_with_templates.cpp
| | (parameter_declaration@Cpp~GCC5=1611#6b04c80^1#6b04ca0:1 Line 3 Column 10 File C:/temp/prime_with_templates.cpp
| | (basic_decl_specifier_seq@Cpp~GCC5=1070#6b04a40^1#6b04c80:1 Line 3 Column 10 File C:/temp/prime_with_templates.cpp
| | |(decl_specifier@Cpp~GCC5=1073#6b04a20^1#6b04a40:1 Line 3 Column 10 File C:/temp/prime_with_templates.cpp
| | | (trailing_type_specifier@Cpp~GCC5=1118#6b04a00^1#6b04a20:1 Line 3 Column 10 File C:/temp/prime_with_templates.cpp
| | | (simple_type_specifier@Cpp~GCC5=1138#6b049e0^1#6b04a00:1 Line 3 Column 10 File C:/temp/prime_with_templates.cpp)simple_type_specifier
| | | )trailing_type_specifier#6b04a00
| | |)decl_specifier#6b04a20
| | )basic_decl_specifier_seq#6b04a40
| | (ptr_declarator@Cpp~GCC5=1417#6b04c40^1#6b04c80:2 Line 3 Column 15 File C:/temp/prime_with_templates.cpp
| | |(noptr_declarator@Cpp~GCC5=1421#6b04be0^1#6b04c40:1 Line 3 Column 15 File C:/temp/prime_with_templates.cpp
| | | (declarator_id@Cpp~GCC5=1487#6b04bc0^1#6b04be0:1 Line 3 Column 15 File C:/temp/prime_with_templates.cpp
| | | (id_expression@Cpp~GCC5=317#6b04b60^1#6b04bc0:1 Line 3 Column 15 File C:/temp/prime_with_templates.cpp
| | | (unqualified_id@Cpp~GCC5=319#6b04ac0^1#6b04b60:1 Line 3 Column 15 File C:/temp/prime_with_templates.cpp
| | | |(IDENTIFIER@Cpp~GCC5=3368#6b049c0^1#6b04ac0:1[`no'] Line 3 Column 15 File C:/temp/prime_with_templates.cpp)IDENTIFIER
| | | )unqualified_id#6b04ac0
| | | )id_expression#6b04b60
| | | )declarator_id#6b04bc0
| | |)noptr_declarator#6b04be0
| | )ptr_declarator#6b04c40
| | )parameter_declaration#6b04c80
| | )template_parameter#6b04ca0
| |)template_parameter_list#6b04cc0
| |(template_parameter@Cpp~GCC5=2085#6b04ec0^1#6b04ee0:2 Line 3 Column 19 File C:/temp/prime_with_templates.cpp
| | (parameter_declaration@Cpp~GCC5=1611#6b04ea0^1#6b04ec0:1 Line 3 Column 19 File C:/temp/prime_with_templates.cpp
| | (basic_decl_specifier_seq@Cpp~GCC5=1070#6b04b40^1#6b04ea0:1 Line 3 Column 19 File C:/temp/prime_with_templates.cpp
| | (decl_specifier@Cpp~GCC5=1073#6b04ba0^1#6b04b40:1 Line 3 Column 19 File C:/temp/prime_with_templates.cpp
| | |(trailing_type_specifier@Cpp~GCC5=1118#6b04c60^1#6b04ba0:1 Line 3 Column 19 File C:/temp/prime_with_templates.cpp
| | | (simple_type_specifier@Cpp~GCC5=1138#6b04580^1#6b04c60:1 Line 3 Column 19 File C:/temp/prime_with_templates.cpp)simple_type_specifier
| | |)trailing_type_specifier#6b04c60
| | )decl_specifier#6b04ba0
| | )basic_decl_specifier_seq#6b04b40
| | (ptr_declarator@Cpp~GCC5=1417#6b04e60^1#6b04ea0:2 Line 3 Column 24 File C:/temp/prime_with_templates.cpp
| | (noptr_declarator@Cpp~GCC5=1421#6b04e40^1#6b04e60:1 Line 3 Column 24 File C:/temp/prime_with_templates.cpp
| | |(declarator_id@Cpp~GCC5=1487#6b04de0^1#6b04e40:1 Line 3 Column 24 File C:/temp/prime_with_templates.cpp
| | | (id_expression@Cpp~GCC5=317#6b04d80^1#6b04de0:1 Line 3 Column 24 File C:/temp/prime_with_templates.cpp
| | | (unqualified_id@Cpp~GCC5=319#6b04ce0^1#6b04d80:1 Line 3 Column 24 File C:/temp/prime_with_templates.cpp
| | | (IDENTIFIER@Cpp~GCC5=3368#6b04560^1#6b04ce0:1[`yes'] Line 3 Column 24 File C:/temp/prime_with_templates.cpp)IDENTIFIER
| | | )unqualified_id#6b04ce0
| | | )id_expression#6b04d80
| | |)declarator_id#6b04de0
| | )noptr_declarator#6b04e40
| | )ptr_declarator#6b04e60
| | )parameter_declaration#6b04ea0
| |)template_parameter#6b04ec0
| )template_parameter_list#6b04ee0
| (template_parameter@Cpp~GCC5=2085#6b05120^1#6b05140:2 Line 3 Column 29 File C:/temp/prime_with_templates.cpp
| |(parameter_declaration@Cpp~GCC5=1611#6b05100^1#6b05120:1 Line 3 Column 29 File C:/temp/prime_with_templates.cpp
| | (basic_decl_specifier_seq@Cpp~GCC5=1070#6b04d20^1#6b05100:1 Line 3 Column 29 File C:/temp/prime_with_templates.cpp
| | (decl_specifier@Cpp~GCC5=1073#6b04dc0^1#6b04d20:1 Line 3 Column 29 File C:/temp/prime_with_templates.cpp
| | (trailing_type_specifier@Cpp~GCC5=1118#6b04e80^1#6b04dc0:1 Line 3 Column 29 File C:/temp/prime_with_templates.cpp
| | |(simple_type_specifier@Cpp~GCC5=1140#6b046e0^1#6b04e80:1 Line 3 Column 29 File C:/temp/prime_with_templates.cpp)simple_type_specifier
| | )trailing_type_specifier#6b04e80
| | )decl_specifier#6b04dc0
| | )basic_decl_specifier_seq#6b04d20
| | (ptr_declarator@Cpp~GCC5=1417#6b05080^1#6b05100:2 Line 3 Column 33 File C:/temp/prime_with_templates.cpp
| | (noptr_declarator@Cpp~GCC5=1421#6b05020^1#6b05080:1 Line 3 Column 33 File C:/temp/prime_with_templates.cpp
| | (declarator_id@Cpp~GCC5=1487#6b05000^1#6b05020:1 Line 3 Column 33 File C:/temp/prime_with_templates.cpp
| | |(id_expression@Cpp~GCC5=317#6b04fa0^1#6b05000:1 Line 3 Column 33 File C:/temp/prime_with_templates.cpp
| | | (unqualified_id@Cpp~GCC5=319#6b04f00^1#6b04fa0:1 Line 3 Column 33 File C:/temp/prime_with_templates.cpp
| | | (IDENTIFIER@Cpp~GCC5=3368#6b046c0^1#6b04f00:1[`f'] Line 3 Column 33 File C:/temp/prime_with_templates.cpp)IDENTIFIER
| | | )unqualified_id#6b04f00
| | |)id_expression#6b04fa0
| | )declarator_id#6b05000
| | )noptr_declarator#6b05020
| | )ptr_declarator#6b05080
| |)parameter_declaration#6b05100
| )template_parameter#6b05120
| )template_parameter_list#6b05140
| (template_parameter@Cpp~GCC5=2085#6b05440^1#6b05460:2 Line 3 Column 36 File C:/temp/prime_with_templates.cpp
| (parameter_declaration@Cpp~GCC5=1611#6b05420^1#6b05440:1 Line 3 Column 36 File C:/temp/prime_with_templates.cpp
| |(basic_decl_specifier_seq@Cpp~GCC5=1070#6b05160^1#6b05420:1 Line 3 Column 36 File C:/temp/prime_with_templates.cpp
| | (decl_specifier@Cpp~GCC5=1073#6b04fe0^1#6b05160:1 Line 3 Column 36 File C:/temp/prime_with_templates.cpp
| | (trailing_type_specifier@Cpp~GCC5=1118#6b050e0^1#6b04fe0:1 Line 3 Column 36 File C:/temp/prime_with_templates.cpp
| | (simple_type_specifier@Cpp~GCC5=1140#6b050c0^1#6b050e0:1 Line 3 Column 36 File C:/temp/prime_with_templates.cpp)simple_type_specifier
| | )trailing_type_specifier#6b050e0
| | )decl_specifier#6b04fe0
| |)basic_decl_specifier_seq#6b05160
| |(ptr_declarator@Cpp~GCC5=1417#6b053e0^1#6b05420:2 Line 3 Column 40 File C:/temp/prime_with_templates.cpp
| | (noptr_declarator@Cpp~GCC5=1421#6b053c0^1#6b053e0:1 Line 3 Column 40 File C:/temp/prime_with_templates.cpp
| | (declarator_id@Cpp~GCC5=1487#6b05360^1#6b053c0:1 Line 3 Column 40 File C:/temp/prime_with_templates.cpp
| | (id_expression@Cpp~GCC5=317#6b05280^1#6b05360:1 Line 3 Column 40 File C:/temp/prime_with_templates.cpp
| | |(unqualified_id@Cpp~GCC5=319#6b051a0^1#6b05280:1 Line 3 Column 40 File C:/temp/prime_with_templates.cpp
| | | (IDENTIFIER@Cpp~GCC5=3368#6b046a0^1#6b051a0:1[`p'] Line 3 Column 40 File C:/temp/prime_with_templates.cpp)IDENTIFIER
| | |)unqualified_id#6b051a0
| | )id_expression#6b05280
| | )declarator_id#6b05360
| | )noptr_declarator#6b053c0
| |)ptr_declarator#6b053e0
| )parameter_declaration#6b05420
| )template_parameter#6b05440
| )template_parameter_list#6b05460
其他回答
使用GLR解析器解析c++。这意味着在解析源代码期间，解析器可能会遇到歧义，但它应该继续并决定稍后使用哪个语法规则。
还看,
为什么c++不能用LR(1)解析器解析?
请记住，上下文无关语法不能描述编程语言语法的所有规则。例如，属性语法用于检查表达式类型的有效性。
int x;
x = 9 + 1.0;
你不能用上下文无关的语法描述下面的规则: 作业的右侧应与左侧的类型相同。
真正的:)
斯坦利·沃福德。计算机系统。页341 - 346。
c++标准中的结果是与上下文无关的，但正如我们所知，它并没有真正精确地定义语言。大多数人认为当前语言中的一些歧义可以(我相信)用上下文敏感的语法明确地解决。
对于最明显的例子，让我们考虑最恼人的解析:int f(X);。如果X是一个值，那么它将f定义为一个将用X初始化的变量。如果X是一个类型，它将f定义为一个接受单个类型X形参的函数。
从语法的角度来看，我们可以这样看:
A variable_decl ::= <type> <identifier> '(' initializer ')' ';'
B function_decl ::= <type> <identifier> '(' param_decl ')' ';'
A ::= [declaration of X as value]
B ::= [declaration of X as type]
当然，为了完全正确，我们需要添加一些额外的“东西”来解释其他类型的介入声明的可能性(即，A和B都应该是“声明，包括将X声明为…”，或者类似的顺序)。
这与典型的CSG还是有很大不同的(至少在我印象中是这样)。这取决于正在构造的符号表——即专门将X识别为类型或值的部分，而不仅仅是前面的某些语句类型，而是正确的符号/标识符的正确语句类型。
因此，我必须做一些研究来确定，但我的直接猜测是，这并不是真正的CSG，至少从通常使用的术语来看是这样的。
下面是我(目前)最喜欢的关于为什么解析c++(可能)是图灵完备的演示，因为它显示了当且仅当给定整数是素数时语法正确的程序。
因此，我断言c++既不是上下文无关的，也不是上下文敏感的。
If you allow arbitrary symbol sequences on both sides of any production, you produce an Type-0 grammar ("unrestricted") in the Chomsky hierarchy, which is more powerful than a context-sensitive grammar; unrestricted grammars are Turing-complete. A context-sensitive (Type-1) grammar allows multiple symbols of context on the left hand side of a production, but the same context must appear on the right hand side of the production (hence the name "context-sensitive"). [1] Context-sensitive grammars are equivalent to linear-bounded Turing machines.
在示例程序中，质数计算可以由线性有界的图灵机执行，因此它不能完全证明图灵等价，但重要的部分是解析器需要执行计算以便执行语法分析。它可以是任何可以表示为模板实例化的计算，并且有充分的理由相信c++模板实例化是图灵完备的。例如，Todd L. Veldhuizen在2003年的论文。
不管怎样，c++可以被计算机解析，所以它当然可以被图灵机解析。因此，不受限制的语法可以识别它。实际上，编写这样的语法是不切实际的，这就是标准没有尝试这样做的原因。(见下文)。
某些表达的“模糊性”问题主要是转移注意力。首先，歧义是一种特定语法的特征，而不是一种语言。即使一种语言可以被证明没有明确的语法，如果它可以被上下文无关的语法识别，那么它就是上下文无关的。类似地，如果它不能被上下文无关的语法识别，但可以被上下文敏感的语法识别，那么它就是上下文敏感的。模棱两可无关紧要。
But in any event, like line 21 (i.e. auto b = foo<IsPrime<234799>>::typen<1>();) in the program below, the expressions are not ambiguous at all; they are simply parsed differently depending on context. In the simplest expression of the issue, the syntactic category of certain identifiers is dependent on how they have been declared (types and functions, for example), which means that the formal language would have to recognize the fact that two arbitrary-length strings in the same program are identical (declaration and use). This can be modelled by the "copy" grammar, which is the grammar which recognizes two consecutive exact copies of the same word. It's easy to prove with the pumping lemma that this language is not context-free. A context-sensitive grammar for this language is possible, and a Type-0 grammar is provided in the answer to this question: https://math.stackexchange.com/questions/163830/context-sensitive-grammar-for-the-copy-language .
如果有人试图编写上下文敏感的(或不受限制的)语法来解析c++，那么很可能会到处乱写乱写。编写图灵机来解析c++同样是不可能完成的任务。即使是编写c++程序也是困难的，而且据我所知，没有一个被证明是正确的。这就是为什么标准没有尝试提供完整的正式语法，以及为什么它选择用技术英语编写一些解析规则。
What looks like a formal grammar in the C++ standard is not the complete formal definition of the syntax of the C++ language. It's not even the complete formal definition of the language after preprocessing, which might be easier to formalize. (That wouldn't be the language, though: the C++ language as defined by the standard includes the preprocessor, and the operation of the preprocessor is described algorithmically since it would be extremely hard to describe in any grammatical formalism. It is in that section of the standard where lexical decomposition is described, including the rules where it must be applied more than once.)
各种语法(两个用于词法分析的重叠语法，一个发生在预处理之前，另一个，如果有必要，发生在预处理之后，再加上“句法”语法)收集在附录A中，其中有一个重要的注释(强调):
本文对c++语法的总结旨在帮助理解。这不是对语言的准确表述。特别地，这里描述的语法接受有效的c++构造的超集。必须应用消歧规则(6.8,7.1,10.2)来区分表达式和声明。此外，必须使用访问控制、模糊性和类型规则来清除语法上有效但无意义的结构。
最后，这是我们承诺的项目。当且仅当IsPrime中的N <N>是素数时，第21行在语法上是正确的。否则，typen是一个整数，而不是一个模板，因此typen<1>()将被解析为(typen<1)>()，这在语法上是不正确的，因为()不是一个语法上有效的表达式。
template<bool V> struct answer { answer(int) {} bool operator()(){return V;}};
template<bool no, bool yes, int f, int p> struct IsPrimeHelper
: IsPrimeHelper<p % f == 0, f * f >= p, f + 2, p> {};
template<bool yes, int f, int p> struct IsPrimeHelper<true, yes, f, p> { using type = answer<false>; };
template<int f, int p> struct IsPrimeHelper<false, true, f, p> { using type = answer<true>; };
template<int I> using IsPrime = typename IsPrimeHelper<!(I&1), false, 3, I>::type;
template<int I>
struct X { static const int i = I; int a[i]; };
template<typename A> struct foo;
template<>struct foo<answer<true>>{
template<int I> using typen = X<I>;
};
template<> struct foo<answer<false>>{
static const int typen = 0;
};
int main() {
auto b = foo<IsPrime<234799>>::typen<1>(); // Syntax error if not prime
return 0;
}
更专业地说，上下文敏感语法中的每个结果都必须是这样的:
aB → AGB
其中A是非终结符，α、β可能是语法符号的空序列，γ是非空序列。(语法符号可以是终结符也可以是非终结符)。
这只能在[α， β]中被理解为A→γ。在上下文无关(类型2)语法中，α和β必须为空。
事实证明，你也可以用“单调”限制语法，其中每个结果必须是这样的形式:
α→β,|α|≥|β| > 0(|α|意味着“α”的长度)
可以证明单调语法所识别的语言集与上下文敏感语法所识别的语言集完全相同，而且通常更容易将证明建立在单调语法的基础上。因此，我们经常看到“上下文敏感”被当作“单调”的意思来使用。
有时情况更糟:当人们说c++具有“不可判定语法”时，他们的意思是什么?
