Another modulo language

Another modulo language is another modulo language created by user:cleverxia inspired by the collatz functions.

program flow

program consists of two function f and g and infinite numbers x_i. when the program starts, the interpreter does the following:

• set i,a to 0
• repeat forever:

  if x_i is 0:

  halt the program

  otherwise:

  divide f(a) by x_i, let quotient be q, remainder be r

  set a to r

  set i to q

very simple, isn't it?

if you want an output extension, you can define x%-1=0, x/-1=x, and x%-1 also outputs x as a character.

examples

from now on, programs use this format: f x_0 x_1 x_2 ... where f is in javascript lambda format, and takes input in the initial accumulator

False machine

x=>x 1 0 0 0 0...

interpreter

//note: x_i is provided as a function here, to avoid coding infinite numbers
function x(i){return i==0n?1n:0n}
function f(n){return n}

a=i=0n;while(1){if(!x(i))process.exit();oa=a;a=f(oa)%x(i);i=f(oa)/x(i)}

computational class

I don't know. but at least if the infinite sequence x(i) is uncomputable then this language isn;t, too.