Calling std::min() with an empty initializer list usually does not compile (all the question can be stated in the same way for std::max()).
This code:
#include <iostream>
#include <algorithm>
int main() {
   std::cout << std::min({}) << "\n";
   return 0;
}
With clang gives this error:
test.cpp:6:17: error: no matching function for call to 'min'
   std::cout << std::min({}) << "\n";
                ^~~~~~~~
algorithm:2599:1: note: 
      candidate template ignored: couldn't infer template argument '_Tp'
min(initializer_list<_Tp> __t)
I can see why this case would not be allowed, because it is difficult to agree on a sensible value to return in this case.
However, technically speaking the code does not compile only because the template parameter cannot be deduced. If I force the parameter the code compiles but I get a crash:
#include <iostream>
#include <algorithm>
int main() {
  std::cout << std::min<int>({}) << "\n";
  return 0;
}
$ clang++ -std=c++11 test.cpp -o test
$ ./test 
Segmentation fault: 11
It seems the crash arises because std::min() is implemented in terms of std::min_element(), and an empty initializer list results into the dereference of an invalid end() iterator.
So is this piece of code undefined behavior under C++11/C++14 ?
Is std::min() stated to not compile when called without explicit template parameters?
Is std::min() specified to be implemented in terms of std::min_element()?
Yes, it's UB. As per C++14 (n4140) 25.4.7/4:
template <class T> constexpr T min(initializer_list<T> t);...
4 Requires:
TisLessThanComparableandCopyConstructibleandt.size() > 0.
(Emphasis mine)
The same wording is present in C++11 as well.
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