^
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^ is an esolang by User:None1. It is the smallest esolang that is impossible to solve the halting problem.
Commands
The only command
^
performs an infinite loop if this program halts otherwise it does nothing.
Uncomputability proof
If this esolang in computable, consider this program:
^
If it halts, it will not halt, otherwise it will halt. So this esolang is uncomputable.
Interpreter
It is of course impossible to make an interpreter because it is uncomputable.