Is

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Is is invented by User:A.

is

i increment the current byte
s set the whole array(It is all set to 0)(If it repeats forever, then it will overflow) into the pointed bit's value

Truth-machine

For input = 1, the code is:

is

Set into:

111111111111.......(which is the normal print 1 forever)

For input = 0, the code is:

s

set into:

000000000000.......(which is 0.It is impossible to only make one 0, unless the array only had 1 bit)

Computability

It can implement a Truth-machine. But, it has no if statements! And repetition! And I/O! But, it even passed the test!!! I am sure the Truth-machine is useless for testing all those characteristics.