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Fuckgoid
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Fuckgoid is the fungoid with the smallest interpreter, by User:None1.
Commands
It is Befunge-98, but there are only 4 commands: <>^v which works the same. When the IP goes out of bounds, it wraps back.
An empty program is an infinite loop, characters that are not commands are NOPs.
Examples
Infinite loop
Interpreters
brainfuck
+[]
It is easy to prove that this interpreter is always correct.
Self interpreter
Infinite loop (esolang)
Shorter than in bf.
[]