Trying to solve this set of equations. I'm feeling like I'm making it so complicated. Of course + is union. Am I on the right track?
A = 0B + 1D
B = 0C + 1A
C = 0A + 1B + λ
D = OD + 1C + λ
A = 0B + 1(0*1C + 0*) = 0B + 10*1C + 10*
B = 0C + 1A
C = 0A + 1B + λ
D = OD + 1C + λ = 0*1C + 0*
A = 0(0C + 1A) + 10*1C + 10* = 00C + 01A + 10*1C + 10* = 01A + (00 + 10*1)C + 10* = (01)*((00 + 10*1)C + 10*)
B = 0C + 1A
C = 0A + 1B + λ
A = (01)*((00 + 10*1)C + 10*)
B = 0C + 1((01)*((00 + 10*1)C + 10*))
C = 0A + 1B + λ
A = (01)*((00 + 10*1)C + 10*)
B = 0C + 1((01)*((00 + 10*1)C + 10*))
C = 0((01)*((00 + 10*1)C + 10*)) + 1(0C + 1((01)*((00 + 10*1)C + 10*))) + λ
A = (01)*((00 + 10*1)C + 10*)
C = 0((01)*((00 + 10*1)C + 10*)) + 1(0C + 1((01)*((00 + 10*1)C + 10*))) + λ
C = 0(01)*(00 + 10*1)C + 0(01)10 + 10C + 11((01)*((00 + 10*1)C + 10*)) + λ
C = 0(01)*(00 + 10*1)C + 0(01)10 + 10C + 11(01)*(00 + 10*1)C + 11(01)10 + λ
C = (0(01)*(00 + 10*1) + 10 + 11(01)*(00 + 10*1))*(0(01)10 + 11(01)10)
A = (01)*((00 + 10*1)((0(01)*(00 + 10*1) + 10 + 11(01)*(00 + 10*1))*(0(01)10 + 11(01)10)) + 10*)
C = 0((01)*((00 + 10*1)C + 10*)) + 1(0C + 1((01)*((00 + 10*1)C + 10*))) + λ
C = 0(01)*(00 + 10*1)C + 0(01)10 + 10C + 11((01)*((00 + 10*1)C + 10*)) + λ
C = 0(01)*(00 + 10*1)C + 0(01)10 + 10C + 11(01)*(00 + 10*1)C + 11(01)10 + λ
C = (0(01)*(00 + 10*1) + 10 + 11(01)*(00 + 10*1))*((0(01)10 + 11(01)10) + λ)
Final Answer
A = (01)*(((00 + 10*1)((0(01)*(00 + 10*1) + 10 + 11(01)*(00 + 10*1))*((0(01)*10* + 11(01)*10*) + λ))) + 10*)
edit: fixed it.