User blog:BlauesWasser/A function I have created (still unnamed)

So... I have created  new function... Tell me if it's ill-defined.. Hopefully it's clear

{a,b} = \(a^b\)

{a,b,c} = \(a↑^c b\)

{a,b,c,d} = \(a↑^(c^d) b\) or \({a,b,{c,d}}\)

{a,b,c,d,e} = \(a↑^(c↑^e d)b\) or \({a,b,{c,d,e}}\)

etc, etc... There can be more entries

Here are some examples:

{3,3} = \(3^3\)

{3,3,3} = \(3↑^3 3\)