Re: Naming conventions for private virtual methods

I know, nobody likes this kind of question, but there aren't many
questions these days, so ...

Consider a case of private virtual inheritance where the motivation is
to have overloading on the preferred method name "value".

class base
{
public:
    void value(int val)
    {
        // calls value_
    }
    void value(long val)
    {
        // calls value_
    }
    void value(long long val)
    {
        // calls value_
    }
private:
    virtual void value_(long long val) = 0;
};

class derived : public base
{
private:
    // implements value_
};

Can anyone suggest a reasonable naming convention for the overridable
private method value_? I've seen variants of "doValue",
"value_long_long", and "value_event". Any commonly used conventions?