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Can forward declared type templates participate in template specialization ?

The following does not compile

#include <iostream>
#include <type_traits>

// forward declaration of a type template
template<class T, class Alloc = std::allocator<T>> class std::vector; 

template<class T>
struct is_vector : std::false_type { };

// using the forward declared type template
template<class T, class Alloc>
struct is_vector<std::vector<T, Alloc>> : std::true_type { };


#include <vector>

int main()
{
    std::cout << is_vector<std::vector<int>>::value << std::endl;
}

I want to make sure that forward declared type templates (above the vector ) are actually non useable in specialization contexts and that it's not a faulty implementation to blame. Also why is this happening? I don't want to create an object of type vector<> only use it as a tag to dispatch between specializations; doesn't inclusion of <vector> at the point of instantiation suffice (call site of is_vector<> ) ?

Forward-declaring of a standard library container is undefined behavior (if you manage to compile it), so for std::vector you have to #include <vector> before defining is_vector .

For your own types you can do it though:

// forward declaration of a type template
namespace my {
    template<class T, class Alloc> class vector; 
}

template<class T>
struct is_vector : std::false_type { };

// using the forward declared type template
template<class T, class Alloc>
struct is_vector<my::vector<T, Alloc>> : std::true_type { };

namespace my {
    template<class T, class Alloc = std::allocator<T>> class vector {}; 
}

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