Let M1 = (Q1, Σ, δ1, q1, F1) and M2 = (Q2, Σ, δ2, r1, F2)...

Let M₁ = (Q₁, Σ, δ₁, q₁, F₁) and M₂ = (Q₂, Σ, δ₂, r₁, F₂) be DFA's where Q₁ = {q₁, q₂, q₃, q₄}, F₁ = {q₁, q₃, q₄}, Q₂ = {r₁, r₂, r₃} and F₂ = {r₁, r₃}. Assume that the cross product construction has been applied to M₁ and M₂ to produce a new DFA M = (Q, Σ, δ, s₀, F), and that all possible states in M are reachable from s₀. Please answer the following questions about the set F, the final state set of M.

What is F if M recognizes L(M1) U L(M2)?

What is F if M recognizes L(M₁) Intersection L(M₂)?
What is F if M recognizes L(M1) - L(M2)?

What is F if M recognizes L(M₂) - L(M₁)?

Solutions

Expert Solution

I hqve completed this problem Please give thumbs up if you like it

venereology answered 1 year ago

Next > < Previous

Related Solutions

A utility maximizing saver has u(f1, f2) = f11/2f21/2 and earns m1 = 90, m2 =...

A utility maximizing saver has u(f1, f2) = f11/2f21/2 and earns m1 = 90, m2 = 90. She can save at an interest rate of 25 percent. If she hires an investment advisor she can save at an interest rate of 80 percent. What is the most that she would pay in fees to this advisor?

A utility maximizing saver has u(f1, f2) = f11/2f21/2 and earns m1 = 90, m2 =...

Show that if (1) F1 and F2 are connected sets, and (2) F1 ∩ F2 is...

Show that if (1) F1 and F2 are connected sets, and (2) F1 ∩ F2 is not empty, then F1 ∪ F2 is connected. also Suppose that F is connected. Show that F¯ (the closure of F) is also connected.

Let Q1, Q2, Q3 be constants so that (Q1, Q2) is the critical point of the...

Let Q1, Q2, Q3 be constants so that (Q1, Q2) is the critical point of the function f(x, y) = (175)x 2 + (−150)xy + (175)y 2 + (−200)x + (400)y + (230), and Q3 = 1 if f has a local minimum at (Q1, Q2), Q3 = 2 if f has a local maximum at (Q1, Q2), Q3 = 3 if f has a saddle point at (Q1, Q2), and Q3 = 4 otherwise. Let Q = ln(3 +...

Let Q1, Q2, Q3 be constants so that (Q1, Q2) is the critical point of the...

Let Q1, Q2, Q3 be constants so that (Q1, Q2) is the critical point of the function f(x, y) = (90)x 2 + (0)xy + (90)y 2 + (−72)x + (96)y + (40), and Q3 = 1 if f has a local minimum at (Q1, Q2), Q3 = 2 if f has a local maximum at (Q1, Q2), Q3 = 3 if f has a saddle point at (Q1, Q2), and Q3 = 4 otherwise. Let Q = ln(3 +...

The null and alternate hypotheses are: Ho: m1 = m2 H1: m1 ≠ m2 A random...

The null and alternate hypotheses are: Ho: m1 = m2 H1: m1 ≠ m2 A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15. At the .10 significance level, is there a difference in the population means? Is this a one-tailed or a tow-tailed...

Let f1 = 1 and f2=1 and for all n>2 Let fn = fn-1+fn-2. Prove that...

Let f1 = 1 and f2=1 and for all n>2 Let fn = fn-1+fn-2. Prove that for all n, there is no prime p that divides noth fn and fn+1

Let m1 and m2 denote the true average ages (in years) of students at two different...

Let m1 and m2 denote the true average ages (in years) of students at two different colleges. Assume both population distributions are normal with equal variances. Calculate and interpret a 99% confidence interval for m1 - m2 using the following data. Sample Size Sample Mean Sample Standard Deviation College 1 10 25 2 College 2 9 24 3

Two forces, vector F1 and F2, act at a point. The magnitude of F1 is 9.50...

Two forces, vector F1 and F2, act at a point. The magnitude of F1 is 9.50 N, and its direction is an angle 65.0 degrees above the negative direction of x-axis in the second quadrant. The magnitude of F2 is 5.50 N, and its direction is an angle 53.1 degrees below the negative direction of x-axis in the third quadrant. Part A: What is the x-component of the resultant force? Part B: What is the y-component of the resultant force?...

The magnitudes of F1, F2 and F3 are 300, 190 and 250 N, respectively. F1 is...

The magnitudes of F1, F2 and F3 are 300, 190 and 250 N, respectively. F1 is directed on the slope m = 0.6 m/m. F2 is directed alpha = 0.17 radians from F1. F3 is directed beta =123 degrees from F2. Determine the direction of the Resultant in degrees measured counter-clockwise from the + x-axis.

Subjects