use the following two languages to establish that the set of context-free languages is not closed...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
use the following two languages to establish that the set of context-free languages is not closed under intersection: A= {amb"c" | m,n≥0} B={ab"cm,n≥0} Obviously, the intersection of these two languages is the language that we had discussed in class as the prototypical example of a non- context-free language: C=AB={a"b"c" | n≥0} Establish that A is indeed context-free by supplying a context-free grammar that generates its strings. In the dialogue box below, supply such a grammar. (10 pts.) use the following two languages to establish that the set of context-free languages is not closed under intersection: A= {amb"c" | m,n≥0} B={ab"cm,n≥0} Obviously, the intersection of these two languages is the language that we had discussed in class as the prototypical example of a non- context-free language: C=AB={a"b"c" | n≥0} Establish that A is indeed context-free by supplying a context-free grammar that generates its strings. In the dialogue box below, supply such a grammar. (10 pts.)
Expert Answer:
Answer rating: 100% (QA)
To establish that the set of contextfree languages is not closed under intersection we can consider ... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
a. Use the languages A = {a m b n c n |m, n 0} and B = {a n b n c m |m, n 0} together with Example 2.36 to show that the class of context-free languages is not closed under intersection. b. Use...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
A homomorphism is a function f : from one alphabet to strings over another alphabet. We can extend f to operate on strings by defining f(w) = f(w 1 )f(w 2 ) f(wn), where w = w 1 w 2 w n and...
-
The mid-day wind speed, in knots, at a coastal resort is normally distributed with mean 12.8 and standard deviation . a. Given that 15% of the recorded wind speeds are less than 10 knots, find the...
-
MM Model with Corporate Taxes An unlevered firm has a value of $800 million. An otherwise identical but levered firm has $60 million in debt. If the corporate tax rate is 35%, what is the value of...
-
What are some advantages of rank-order scaling over paired comparison scaling?
-
Gavin wants to dig deep into pricing theory, so he decides to work out an application of Eq. (16.11). He suggests to himself that a simple model of interest rates in the risk-neutral world might be...
-
The following transactions occurred during 2012. Assume that depreciation of 10% per year is charged on all machinery and 3% per year on buildings, on a straight-line basis, with no estimated salvage...
-
Varatta Enterprises sells industrial plumbing valves. The following table lists the annual sales amounts for every salesperson in the organization for the most recent fiscal year. Salesperson Sales...
-
Lawrence is a 16-year-old youth who was found guilty of vandalism and assault. He was convicted of breaking into his school with two friends and writing insulting slogans on the hallway walls. He was...
-
In the following code, if the user enters 10, after the execution of the code segment below cin >> angle; //read 10 into angle if (angle > 5) angle = angle + 5; else if (angle > 2) angle = angle +...
-
Kito Co. is an American company that imports supplies from Australia an equivalent of 12 million USD in AUD per year. Meanwhile all sells are invoiced in U.S. dollars. They anticipate revenues of $20...
-
An oil production company extracts and ships 4,000 barrels of oil every day. Each barrel of oil costs $50 and takes one month to reach the market. Its profit model is expressed by (ST) = 4000.ST -...
-
Looking for figures and an explanation why the NBA's 50/50 revenue split embedded in their CBA helped increase their profits as a league in the long run and why other leagues like the NFL should...
-
Otto Enterprises issued 15-year bonds with a coupon of 8 percent two years ago. The bonds have a par value of $1,000 and make semiannual coupon payment. What is the price of these bonds if the yield...
-
Caterpillar USA needs to accumulate $7.5 million to retire a bond issue that matures in 5 years. The firm's manufacturing division can contribute $150,000 per quarter for the next 5 years to an...
-
Consider the system of linear equations with unknown a, b, and c and A is parameter to be determined. a +(+1)b (A-A-8)= 3-A, (1+1)b (A+1)b a = (7+X-X) c = Use elementary row operation to solve the...
-
(a) Find the equation of the tangent line to f(x) = x 3 at the point where x = 2. (b) Graph the tangent line and the function on the same axes. If the tangent line is used to estimate values of the...
-
Let be a 3cnf-formula. An -assignment to the variables of is one where each clause contains two literals with unequal truth values. In other words, an -assignment satisfies without assigning three...
-
For languages A and B, let the shuffle of A and B be the language {w| w = a 1 b 1 a k b k , where a 1 a k A and b 1 b k B, each a i , b i * }. Show that the class of regular languages is...
-
Let B be any language over the alphabet . Prove that B = B + iff BB B.
-
Presented below is selected information related to Tsui Repairs at December 31, 2025. Tsui reports financial information monthly (amounts in thousands). a. Determine the total assets of Tsui Repairs...
-
Explain the career opportunities in accounting.
-
Collins Computer Timeshare entered into the following transactions during May 2025. 1. Purchased computers for R\($20,000\) from Digital Equipment on account. 2. Paid R\($4,000\) cash for May rent on...
Study smarter with the SolutionInn App