From § 8.3.5.11 of ISO/IEC 14882:2011(E):
A typedef of function type may be used to declare a function but shall not be used to define a function
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Though this question is about C++, but since C++ inherits typedef and function pointer from C, so an explanation of the same question in C can be used in here. There's a formal explanation for C.
Rationale for International Standard - Programming Languages C §6.9.1 Function definitions
An argument list must be explicitly present in the declarator; it cannot be inherited from a
typedef(see §6.7.5.3). That is to say, given the definition:typedef int p(int q, int r);the following fragment is invalid:
p funk // weird { return q + r ; }Some current implementations rewrite the type of, for instance, a
charparameter as if it were declaredint, since the argument is known to be passed as anintin the absence of a prototype. The Standard requires, however, that the received argument be converted as if by assignment upon function entry. Type rewriting is thus no longer permissible.