What is the C++ compiler required to do with ill-formed programs according to the Standard?
Solution 1:
Is the C++ implementation required to do something specific when it encounters an ill-formed program or is the C++ implementation behavior just undefined?
If the Standard does not specify otherwise, an implementation should emit a diagnostic message (error or warning). However, for some violations the Standard explicitly specifies that no diagnostic is required. In this case, the program is ill-formed, but implementations are not required to tell the user - usually, because doing so in the general case would be too difficult.
Concerning the One Definition Rule, for example, see Paragraph 3.2/4 of the C++11 Standard:
Every program shall contain exactly one definition of every non-inline function or variable that is odr-used in that program; no diagnostic required.
Regarding the requirements on implementations when encountering a violation of a rule, Paragraph 1.4/2 specifies:
[...]
— If a program contains no violations of the rules in this International Standard, a conforming implementation shall, within its resource limits, accept and correctly execute that program.
— If a program contains a violation of any diagnosable rule or an occurrence of a construct described in this Standard as “conditionally-supported” when the implementation does not support that construct, a conforming implementation shall issue at least one diagnostic message.
— If a program contains a violation of a rule for which no diagnostic is required, this International Standard places no requirement on implementations with respect to that program.
Also relevant is Paragraph 1.4/1, which explains what is meant by "diagnosable rules" in the Paragraph quoted above:
The set of diagnosable rules consists of all syntactic and semantic rules in this International Standard except for those rules containing an explicit notation that “no diagnostic is required” or which are described as resulting in “undefined behavior.”
So to sum it up: if an ill-formed program contains a diagnosable violation for which the Standard does not explicitly specify "no diagnostic required", conforming implementations should emit a diagnostic.
Solution 2:
Quoting [intro.compliance]§2:
If a program contains no violations of the rules in this International Standard, a conforming implementation shall, within its resource limits, accept and correctly execute that program.
If a program contains a violation of any diagnosable rule or an occurrence of a construct described in this Standard as “conditionally-supported” when the implementation does not support that construct, a conforming implementation shall issue at least one diagnostic message.
If a program contains a violation of a rule for which no diagnostic is required, this International Standard places no requirement on implementations with respect to that program.
I haven't found any other relevant passages in the standard. If we combine this with [defns.undefined]:
undefined behavior
behavior for which this International Standard imposes no requirements
[ Note: Undefined behavior may be expected when this International Standard omits any explicit definition of behavior or when a program uses an erroneous construct or erroneous data. Permissible undefined behavior ranges from ignoring the situation completely with unpredictable results, to behaving during translation or program execution in a documented manner characteristic of the environment (with or without the issuance of a diagnostic message), to terminating a translation or execution (with the issuance of a diagnostic message). Many erroneous program constructs do not engender undefined behavior; they are required to be diagnosed. -end note ]
I'd say we arrive at "issue a diagnostic message and further the behaviour is undefined," because the standard doesn't say anything more about it.
Solution 3:
(First of all, sorry for my English)
The Standard, in §1.4.2 says:
If a program contains a violation of any diagnosable rule [...] a conforming implementation shall issue at least one diagnostic message.
The definition of a ill-formed program is "a program that is not well formed" (§1.3.9), and a well-formed program is (§1.3.26):
C++ program constructed according to the syntax rules, diagnosable semantic rules, and the One Definition Rule
So, a ill-formed program does implicitly violate "some" rule. If a rule R has the following structure:
If a program has property P, it is an ill-formed program.
When a program has such property P, it does implicitly violate a rule (by definition of an ill-formed program), although it isn't clear which rule is the one which are being violated, since R itself doesn't (from a strictly logical point of view).
Solution 4:
The only relevant quote I could find says that an implementation is required to diagnose an ill-formed program, but it can finish compiling it:
1.4 Implementation compliance [intro.compliance]
8) A conforming implementation may have extensions (including additional library functions), provided they do not alter the behavior of any well-formed program. Implementations are required to diagnose programs that use such extensions that are ill-formed according to this International Standard. Having done so, however, they can compile and execute such programs.