I think you misunderstand. When I see, in a function like yours

  void function(int const * const value)

it worries me because it shows me that the writer doesn't know the meaning of const. There is no added value of this declaration over

  void function(int const *value)

or the more commonly seen

  void function(const int *value)

The only thing that has changed in your code is that the implementor of the function can't modify his own private copy of the pointer.