You are almost there. First of all, the char const[] type needs to be a pointer instead, because it is an incomplete type, that may not be held in a std::pair. And secondly, you are missing a pair of braces. The correct declaration will look like this:
constexpr std::array<std::pair<int, const char*>, 3> strings = {{
{0, "Int"},
{1, "Float"},
{2, "Bool"},
}};
The extra braces are required because std::array is an aggregate holding a raw C array, and so we need the braces mentioned explicitly so that {0, "Int"} is not taken erroneously as the initializer for the inner array object.