Binin++

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Binin++ or Bini is minimalization of Binin that combines a and i into i

Commands

b - move ponier to the right and flip bit
i - end loop and move pointer to the left
n - start loop

Translation to Binin

Binin	Binin++(Bini)
b	b
i	ni
n	n
a	ibnib

Translation from 1-bit BF

BF	Binin++
@	nib
>	bnib
<	ni
[	n
]	ibnib

Turing completness

YES