It should be, if not "shall".
Behavior, by definition from ISO C (no corresponding definition found in ISO C++ but it should be still somehow applicable), is:
3.4
1 behavior
external appearance or action
And UB:
WG21/N4527
1.3.25 [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 ]
Despite "to behaving during translation" above, the word "behavior" used by ISO C++ is mainly about the execution of programs.
WG21/N4527
1.9 Program execution [intro.execution]
1 The semantic descriptions in this International Standard define a parameterized nondeterministic abstract machine. This International Standard places no requirement on the structure of conforming implementations. In particular, they need not copy or emulate the structure of the abstract machine. Rather, conforming implementations are required to emulate (only) the observable behavior of the abstract machine as explained below.5
2 Certain aspects and operations of the abstract machine are described in this International Standard as implementation-defined (for example, sizeof(int)
). These constitute the parameters of the abstract machine.
Each implementation shall include documentation describing its characteristics and behavior in these respects.6 Such documentation shall define the instance of the abstract machine that corresponds to that implementation (referred to as the “corresponding instance” below).
3 Certain other aspects and operations of the abstract machine are described in this International Standard as unspecified (for example, evaluation of expressions in a new-initializer if the allocation function fails to allocate memory (5.3.4)). Where possible, this International Standard defines a set of allowable behaviors.
These define the nondeterministic aspects of the abstract machine. An instance of the abstract machine can thus have more than one possible execution for a given program and a given input.
4 Certain other operations are described in this International Standard as undefined (for example, the effect of attempting to modify a const
object). [ Note: This International Standard imposes no requirements on the behavior of programs that contain undefined behavior. —end note ]
5 A conforming implementation executing a well-formed program shall produce the same observable behavior as one of the possible executions of the corresponding instance of the abstract machine with the same program and the same input. However, if any such execution contains an undefined operation, this International Standard places no requirement on the implementation executing that program with that input (not even with regard to operations preceding the first undefined operation).
5) This provision is sometimes called the “as-if” rule, because an implementation is free to disregard any requirement of this International Standard as long as the result is as if the requirement had been obeyed, as far as can be determined from the observable behavior of the program. For instance, an actual implementation need not evaluate part of an expression if it can deduce that its value is not used and that no side effects affecting the observable behavior of the program are produced.
6) This documentation also includes conditionally-supported constructs and locale-specific behavior. See 1.4.
It is clear the undefined behavior would be caused by specific language construct used wrongly or in a non-portable way (which is not conforming to the standard). However, the standard mention nothing about which specific portion of code in a program would cause it. In other words, "having undefined behavior" is the property (about conforming) of the whole program being executed, not any smaller parts of it.
The standard could have given a stronger guarantee to make the behavior well-defined once some specific code is not being executed, only when there exists a way to map the C++ code to the corresponding behavior precisely. This is hard (if not impossible) without a detailed semantic model about execution. In short, the operational semantics given by the abstract machine model above is not enough to achieve the stronger guarantee. But anyway, ISO C++ would never be JVMS or ECMA-335. And I don't expect there would be a complete set of formal semantics describing the language.
A key problem here is the meaning of "execution". Some people think "executing a program" means making the program being run. This is not quite true. Note the representation of program executed in the abstract machine is not specified. (Also note "this International Standard places no requirement on the structure of conforming implementations".) The code being executed here can be literally C++ code (not necessarily machine code or some other forms of intermediate code which is not specified by the standard at all). This effectively allows the core language to be implemented as an interpreter, an online partial evaluator or some other monsters translating C++ code on-the-fly. As a result, actually there is no way to split the phases of translation (defined by ISO C++ [lex.phases]) completely ahead of the process of execution without knowledge about specific implementations. Thus, it is necessary to allow UB occurring during the translation when it is too difficult to specify portable well-defined behavior.
Besides the problems above, perhaps for most ordinary users, one (non-technical) reason is enough: it is simply unnecessary to provide the stronger guarantee, allow bad code and defeat one of the (probable most important) usefulness aspect of UB itself: to encourage quickly throwing away some (unnecessarily) nonportable smelly code without effort to "fix" them which would be eventually in vain.
Additional notes:
Some words are copied and reconstructed from one of my reply to this comment.