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UnaryBrain
UnaryBrain is an esolang invented by User:None1, it shows that brainfuck with a one-symbol tape is definitely not TC.
Difference from BF
Yes, every cell in UnaryBrain can only have one value: 0. So the instructions in UnaryBrain are like this:
+ Do nothing - Do nothing , Read a character but discard it . Print a null byte > Do nothing < Do nothing [code] Do nothing
Yes, because the cell is always zero, brackets do nothing. Increments and decrements do nothing because the cell remains zero after increment and decrement. Finally, < and > do nothing because the tape is unbounded and the tape after moving the pointer will be exactly the same as the tape before.
Examples
NOP
++--<[++++]>
Print a null byte
.
Computational class
Total, because there is no control flow.