[Challenge] Words of a language (MIU) : from beginner level to hardcore Ⓜ️ℹ️🔠🔠🔠🔠🔠🔠

Question

One can describe a language following:

The only letters of the language are M,I,U
The language has following words:

1.) MI is a word (of the language)

2.) If xI is a word , then xIU is a word
Example: MI is a word => MIU is a word

3.) If Mx is a word then Mxx is a word
Example: MI is a word => MII is a word

4.) If xIIIy is a word then xUy is a word
Example: if UMIIIMU is a word then UMUMU is a word

Programming challenge: Find 10 random words applying the rules

Additional task for mathematicans: IS MU a word of the language?
(Play around )

Answer 1

Here is my solution for part 1
https://code.sololearn.com/cUMOJ8JffDEw

Answer 2

@ahmad ok!

Answer 3

right, every word begins with M

Answer 4

if xIIII is a word then xUI is a word
example : if MIIIIM is a word then MUIM is a word

Answer 5

got evrythinh...
delet all ur posts from here..
i deleted mine
such posts looks messy in challenge thread

Answer 6

i assume...
if MI
is a word...
and these 3 are the only rules#
no word can have M in other place except at first####???
right???

Answer 7

see what ahmed p0sted$##
is it right??

Answer 8

are u here @oma?