Question: If A, B, C, and D are languages over , prove that (a) (A B ^ C D) 4 AC BD and

If A, B, C, and D are languages over ∑, prove that
(a) (A ⊂ B ^ C ⊂ D) 4 AC ⊂ BD and
(b) Aϕ = ϕA = ϕ.

Step by Step Solution

★★★★★

3.42 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a x AC x c for some a A c C x BD ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

954-M-L-A-L-S (7794).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Q:

If a, b, c, and d are constants such that find the value of the sum a + b + c + d. ax? + sin bx + sin cx + sin dx 3x? + 5x* + 7x lim 8

Q:

Prove: If a, b, c, and d he in the same plane, then (a b) (c d) = 0.

Q:

Prove: If a, b, c, and d are integers such that a + b = c + d, then has integer eigenvalues-namely, λj = a + b and λ2 = a - c. LA

Q:

If you are given the coordinates of A, B, C, and D, how could you prove that ABCD is a rectangle? Select all that apply. A. Use the slope formula to show that ABCD , BCAD , ACBD . B. Use the distance...

Q:

Check all true statements. 1) If A={1,2} and B={3} then A x B ={ {1,3}, {2,3} }. 2) The cartesian product is symmetric, i.e. A x B = B x A for all sets A,B. 3) The cartesian product is associative,...

Q:

(1) (4 pts) Prove that if a, b, c and d are integers, where a = 0, such that alc and bd, then abcd. (2) (4 pts) Prove that if a is a positive integer then 4 does not divide a +2

Q:

Let X and Y be two random variables and a, b, c and d are four fixed scalars. Show that cov(aX+by, cX+dY) = ac var(X) + (ad + bc) cov(X,Y) + bd var(Y).

Q:

Let A, B, C, and D be four sets. Prove the following two statements. a. Suppose that A B C \ D. Prove that if x A and x D, then x B. b. A (B C) = (A B) (A C)

Q:

Only one of the following three statements is a set identity, in the sense that it holds for all sets A, B, C, and D. Find it and prove it. (A x B) \(C x D) = (A \ C) (B \ D) (A x B)n (C x D) =...

Q:

Create a function f (x) satisfying the following criteria. Using the chart below, the values for a and c correspond to the first letter of your first name. The values for b and d correspond to the...

Q:

Prepare journal entry of disposal of assets of the following transaction: Company A had purchased care on 1 st January 2018 at $50,000 with expected life of 5 years. Company dispose care on December...

Q:

Write a paper on Psychoanalytic Therapy in which you have to address the following: Find current research (within the past 5 years) for psychoanalytic theory. You will summarize the article in a...

Q:

For a portfolio of N - stocks, the formula for portfolio variance contains: Question 1 0 Answer a . N covariance terms. b . N ( N 1 ) 2 different covariance terms. c . N 2 raise to the power of 2...

Q:

Michael Porter has argued that the intensity of competition in an industry is neither a matter of coincidence nor bad luck. Rather, competition in an industry is rooted in its underlying economic...

Q:

Jim worked 40 regular hours last week, plus 8 overtime hours at the time and a half rate. His gross pay was $1,248. a. What was his hourly rate? b. What was his hourly overtime rate?

Q:

Julianne works as a waitress. She earns $5.90 per hour plus tips. a. Today she worked x hours. Express her pay for these hours algebraically. b. She served nine tables. The total bill for these nine...

Q:

Mike works at Cheesecake King. He earns $11 per hour as a busboy. The waiters he helps give him 25% of their tips a. If Mike worked 6 hours today, how much did he earn, without tips? b. The waiters...

Q:

Comfy Home is a retail business selling a broad range of homeware, kitchen, and electrical appliances to consumers and small businesses. In addition to the home and kitchen appliances, Comfy Home...

Q:

Assume that the expected rate of return on the market portfolio is 23% and the rate of return on T-bills (the risk-free rate) is 7%. The standard deviation of the market is 32%. Assume that the...

Q:

Use the observer design pattern. Get them to work in Visual Studio or GCC * Add additional properties to Customer if necessary * Add additional code to the existing observers to show their...