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

它是上下文敏感的,如a b(c);有两个有效的解析-声明和变量。当你说“If c是一个类型”时,这就是上下文,就在那里,你已经准确地描述了c++对它的敏感程度。如果没有“c是什么?”的上下文,就无法明确地解析它。

在这里,上下文通过标记的选择来表示——如果标识符指定了类型,解析器将其读取为typename标记。这是最简单的解决方案,避免了上下文敏感的复杂性(在本例中)。

编辑:当然,还有更多的上下文敏感性问题,我只是关注你展示的那个。模板在这方面尤其糟糕。

其他回答

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?

要回答你的问题,你需要区分两个不同的问题。

几乎每一种编程语言的语法都与上下文无关。通常,它是作为扩展的Backus-Naur形式或上下文无关语法给出的。 然而,即使一个程序符合编程语言定义的上下文无关语法,它也不一定是一个有效的程序。为了成为一个有效的程序,程序必须满足许多与上下文无关的属性。例如,最简单的属性是变量的作用域。

综上所述,c++是否与上下文无关取决于你问的问题。

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.
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   |   |  )trailing_type_specifier#6afb7e0
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   |   |   |(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
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   |   |   |   | (compound_statement@Cpp~GCC5=888#6afbee0^1#6b04000:1 Line 1 Column 46 File C:/temp/prime_with_templates.cpp)compound_statement
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   |   |   |   |   )trailing_type_specifier#6b040a0
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   |   |   |   |   |   |(operator@Cpp~GCC5=2070#6b04100^1#6b04120:1 Line 1 Column 62 File C:/temp/prime_with_templates.cpp)operator
   |   |   |   |   |   )operator_function_id#6b04120
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   |   |   |   |   (function_qualifiers@Cpp~GCC5=1438#6b041c0^1#6b041e0:3 Line 1 Column 66 File C:/temp/prime_with_templates.cpp)function_qualifiers
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   |   |   |   |   |   (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
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   |   (template_parameter_list@Cpp~GCC5=2083#6b04ee0^1#6b05140:1 Line 3 Column 10 File C:/temp/prime_with_templates.cpp
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   |   |   | )trailing_type_specifier#6b04a00
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   |   |   (ptr_declarator@Cpp~GCC5=1417#6b04c40^1#6b04c80:2 Line 3 Column 15 File C:/temp/prime_with_templates.cpp
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   |   |   |   (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
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   |   |   )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
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   |   |   |)trailing_type_specifier#6b04c60
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   |   |  (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
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   |   |   | (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
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   |   | )parameter_declaration#6b04ea0
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   |   )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
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   |   )template_parameter#6b05120
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   |  (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

没有一种类algol语言是与上下文无关的,因为它们有规则约束表达式和语句,标识符可以根据它们的类型出现在这些表达式和语句中,并且因为在声明和使用之间可以出现的语句数量没有限制。

通常的解决方案是编写一个上下文无关的解析器,它实际上接受有效程序的超集,并将上下文敏感的部分放在附加到规则的特殊“语义”代码中。

c++的图灵完备模板系统远远超越了这一点。参见堆栈溢出问题794015。

这里的一个大问题是术语“上下文无关”和“上下文敏感”在计算机科学中有点不直观。对于c++,上下文敏感性看起来很像歧义,但在一般情况下不一定是这样。

在C/ c++中,if语句只允许在函数体中使用。这似乎是上下文敏感的,对吧?嗯,没有。与上下文无关的语法实际上不需要这样的属性,即您可以提取某一行代码并确定它是否有效。这实际上并不是context-free的意思。它实际上只是一个标签,模糊地暗示了一些与它的发音相关的东西。

现在,如果函数体中的语句根据直接语法祖先之外的定义而被不同地解析(例如,标识符是描述类型还是变量),如a * b;大小写,那么它实际上是上下文敏感的。这里没有实际的歧义;如果a是类型,则解析为指针声明,否则解析为乘法声明。

Being context-sensitive does not necessarily mean "hard to parse". C is actually not that hard because the infamous a * b; "ambiguity" can be resolved with a symbol table containing typedefs encountered previously. It doesn't require any arbitrary template instantiations (which have been proven to be Turing Complete) to resolve that case like C++ does on occasion. It's not actually possible to write a C program that will not compile in a finite amount of time even though it has the same context-sensitivity that C++ does.

Python (and other whitespace-sensitive languages) is also context-dependent, as it requires state in the lexer to generate indent and dedent tokens, but that doesn't make it any harder to parse than a typical LL-1 grammar. It actually uses a parser-generator, which is part of why Python has such uninformative syntax error messages. It's also important to note here that there is no "ambiguity" like the a * b; problem in Python, giving a good concrete example of a context-sensitive language without "ambiguous" grammar (as mentioned in the first paragraph).