Ordinal Brainf**k

Here is a ordinal version of Brainf**k. It uses BF commands but 4 new commands, and memory will have infinite 'ordinals' cells starting with 0:

• | - Reset the data pointer into 0.
• ~ - Increase the data pointer by w.
• { - Jump forward into } if the data pointer and next cell after the data pointer aren't the same.
• } - Do nothing.

Ordinals

Up to w^2

It is really simple.

• w. - w
• w+. - w+1
• w++. - w+2
• ww. - w2
• ww+. - w2+1
• www. - w3
• wwww. - w4

Up to w^3

Now we can add 2 more commands.

• w>[w<{>}>]<. ~ w^2
• w>[w<{>}>]<+. ~ w^2+1
• w>[w<{>}>]<w. ~ w^2+w
• w>[w<{>}>]<ww. ~ w^2+w2

But how to add ordinals? It would look like this, first variable A in first cell and second variable B in second cell, as [>+<<+>{>>}]<~<~<. This will build w^2*2:

• ??? ~ w^2*2

More coming soon!