std::atomic | compare_exchange_weak vs. compare_exchange_strong

I'm unsure if it's me not understanding or the documentation isn't clearly formulated.

The following excerpt has been taken from the newest draft (N3126, section 29.6):

bool atomic_compare_exchange_weak(volatile A* object, C * expected, C desired);
bool atomic_compare_exchange_weak(A* object, C * expected, C desired);
bool atomic_compare_exchange_strong(volatile A* object, C * expected, C desired);
bool atomic_compare_exchange_strong(A* object, C * expected, C desired);
bool atomic_compare_exchange_weak_explicit(volatile A* object, C * expected, C desired, memory_order success, memory_order failure);
bool atomic_compare_exchange_weak_explicit(A* object, C * expected, C desired, memory_order success, memory_order failure);
bool atomic_compare_exchange_strong_explicit(volatile A* object, C * expected, C desired, memory_order success, memory_order failure);
bool atomic_compare_exchange_strong_explicit(A* object, C * expected, C desired, memory_order success, memory_order failure);
bool A::compare_exchange_weak(C & expected, C desired, memory_order success, memory_order failure) volatile;
bool A::compare_exchange_weak(C & expected, C desired, memory_order success, memory_order failure);
bool A::compare_exchange_strong(C & expected, C desired, memory_order success, memory_order failure) volatile;
bool A::compare_exchange_strong(C & expected, C desired, memory_order success, memory_order failure);
bool A::compare_exchange_weak(C & expected, C desired, memory_order order = memory_order_seq_cst) volatile;
bool A::compare_exchange_weak(C & expected, C desired, memory_order order = memory_order_seq_cst);
bool A::compare_exchange_strong(C & expected, C desired, memory_order order = memory_order_seq_cst) volatile;
bool A::compare_exchange_strong(C & expected, C desired, memory_order order = memory_order_seq_cst);

Remark: The weak compare-and-exchange operations may fail spuriously, tha