[Solved] P1481 Formally Prove Correctness Union Construction Follows Let M1 M2 Two Nfa S Constructe Q37159232

P14.8.1: Formally prove the correctness of the unionconstruction as follows. Let M1 and M2 be thetwo λ-NFA’s constructed for R1 and R2 (sothey obey the assumptions) and let N be the λ-NFA constructed sothat L(N) = R1 + R2. Prove the following byinduction on all strings w: If p is any state of N and∆N(i,w,p) is true, then either∆*M1(i1,w,p) or∆*M2(i2,w,p), or both,is true. (We are using the fact that each state of N is also eithera state of M1 or a state of M2, or both.)

Expert Answer

---

Answer to P14.8.1: Formally prove the correctness of the union construction as follows. Let M1 and M2 be the two λ-NFA’s construc… . . .