k=0
L_(1,1)^0={b u e}
L_(1,2)^0=a
L_(1,3)^0={}
L_(2,1)^0=b
L_(2,2)^0={e}
L_(2,3)^0=a
L_(3,1)^0={}
L_(3,2)^0={}
L_(3,3)^0={a,b,e}
k=1
L_(1,1)^1={b u e} u ({b u e} o {b u e}* o {b u e})=b*
L_(1,2)^1=a u ({b u e} o {b u e}* o a) =b*a
L_(1,3)^1={} u ({b u e} o {b u e}* o {}) ={}
L_(2,1)^1=b u (b o {b u e}* o {b u e}) =bb*
L_(2,2)^1={e} u (b o {b u e}* o a) =e u bb*a
L_(2,3)^1=a u (b o {b u e}* o {}) =a
L_(3,1)^1={} u ({} o {b u e}* o {b u e}) ={}
L_(3,2)^1={} u ({} o {b u e}* o a) ={}
L_(3,3)^1={a,b,e} u ({} o {b u e}* o {}) ={a,b,e}
k=2
L_(1,1)^2=b* u (b*a o (e u bb*a)* o bb*) =b* u b*a(bb*a)*bb*
L_(1,2)^2=b*a u (b*a o (e u bb*a)* o (e u bb*a)) =b*a(bb*a)*
L_(1,3)^2={} u (b*a o (e u bb*a)* o a) =b*a(bb*a)*a
L_(2,1)^2=bb* u ((e u bb*a) o (e u bb*a)* o bb*) =(bb*a)*bb*
L_(2,2)^2=(e u bb*a) u ((e u bb*a) o (e u bb*a)* o (e u bb*a))=(bb*a)*
L_(2,3)^2=a u ((e u bb*a) o (e u bb*a)* o a) =(bb*a)*a
L_(3,1)^2={} u ({} o (e u bb*a)* o bb*) ={}
L_(3,2)^2={} u ({} o (e u bb*a)* o (e u bb*a)) ={}
L_(3,3)^2={a,b,e} u ({} o (e u bb*a)* o a) ={a,b,e}
k=3
L_(1,1)^3=(b* u b*a(bb*a)*bb*) u (b*a(bb*a)*a o {a,b,e}* o {})=b* u b*a(bb*a)*bb*
L_(1,2)^3=b*a(bb*a)* u (b*a(bb*a)*a o {a,b,e}* o {}) =b*a(bb*a)*
L_(1,3)^3=b*a(bb*a)*a u (b*a(bb*a)*a o {a,b,e}* o {a,b,e}) =(b*a(bb*a)*a){a,b}*
L_(2,1)^3=(bb*a)*bb* u ((bb*a)*a o {a,b,e}* o {}) =(bb*a)*bb*
L_(2,2)^3=(bb*a)* u ((bb*a)*a o {a,b,e}* o {}) =(bb*a)*
L_(2,3)^3=(bb*a)*a u ((bb*a)*a o {a,b,e}* o {a,b,e}) =((bb*a)*a){a,b}*
L_(3,1)^3={} u ({a,b,e} o {a,b,e}* o {}) ={}
L_(3,2)^3={} u ({a,b,e} o {a,b,e}* o {}) ={}
L_(3,3)^3={a,b,e} u ({a,b,e} o {a,b,e}* o {a,b,e}) ={a,b}*