OΔTS

Not to be confused with Oats.

OΔTS(pronounced OATS) is a esolang created by User:Yayimhere

memory

memory is a stack holding floats.

commands

commands

command	meaning
W(n)	pop the top of the stack and push the first digit of it mod n. if the digit is 0 push 1 unless n=10
[...]	loop ... while top of stack is not 0
<(n)	pop top of stack. if its equal to n then push 1 else push 0
"	duplicate top of stack
Q(n)	goto line n
{n}	push n
!	pop top of stack
~(n)	pop top two values of stack(first popped is A, and second popped is B) then do $Log_{B}(A)$ then take the digital root of that and push the result. if B is 0 however, A will be multiplied by n and then push the result
;	move top of stack to the bottom
=	swap top two values of the stack
|	negate top of stack
?	pop the two top elements of the stack and a add them together with the first popped being on the left side of the operator

Computational class

OΔTS is Turing-complete as it can simulate Brainfuck with while finite amount of unbounded cells using 10 characters, 01{}[]-?=;:

• Code starts with {0} repeated times the amount of cells
• > is ;, as tape is wrapping < isn't needed and is replaced by ; repeated amount of times equal to length of a tape minus 1
• + is {1}?
• - -> {-1}=?
• [...] remains the same

It could be shortened to 9 by translating - as ;{-1} followed by ; repeated times amount of cells and after that ? is put.

qoob / Quinary Bueue can also be translated into it with only 8 characters, 01{}[]!;:

• 0 becomes {0};
• 1 becomes {1};
• [...] becomes [!...]!