Abstracting abstract and specialised 'classes' in C++

What kind of C++ abstraction works best in this [common] scenario?

// Pseudo code

abstraction FooBase {
    init(name, options);
    f(foo, bar): can;
    g(bzr): haz;
};

Bar partially implements FooBase {
    f(foo, bar) { return nullptr };
};

Car implements FooBase {
    f(foo, bar) { return nullptr };
    g(bzr) { return nullptr };
};

int main() {
    auto o = FooBase(Bar, std::make_tuple(5,6,7));
    o.g(5); // compile-time error: 'g' not implemented for 'Bar'
}

Note that the internal structure doesn't need to store any information except its initial options and a cursor object, so e.g.: a closure would suffice. I was thinking std::bind and/or templates.