Let = {0,1}. Show that the problem of determining whether a CFG generates some string in

Question:

Let Σ = {0,1}. Show that the problem of determining whether a CFG generates some string in 1

is decidable. In other words, show that

{〈G〉| G is a CFG over {0,1} and 1^* ∩ L(G) ≠ ⌀} is a decidable language.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction to the theory of computation

ISBN: 978-0470530658

3rd edition

Authors: Michael Sipser

See More Books

Question Posted: Sep 02, 2020 04:41 AM

See More Questions

Show that the problem of determining whether a CFG generates all strings in 1 * is decidable. In other words, show that {G| G is a CFG over {0,1} and 1 * L(G)} is a decidable language.
Show that the problem of determining whether a boolean formula is a tautology is complete for co-NP.
Consider the problem of determining whether a DFA and a regular expression are equivalent. Express this problem as a language and show that it is decidable.
What is the present value of $9,000 received: a. Twenty eight years from today when the interest rate is 10% per year? b. Fourteen years from today when the interest rate is 10% per year? c. Seven...
Use maximum likelihood to estimate the rate Î» from the waiting times for type a. Compare the support for the null hypothesis that Î» = 1.0 with the support for the maximum...
low-ranking staff member who is on a first name basis with the Director/Executive Officer?)
Discuss the pretrial discovery process.
The following pension-related data pertain to Metro Recreations noncontributory, defined benefit pension plan for 2006: Projected benefit obligation Accumulated benefits obligation Plan assets (fair...
Equivalent Units of Conversion Costs The Rolling Department of Jabari Steel Company had 7,407 tons in beginning work in process inventory (90% complete) on October 1. During October, 82,300 tons were...
A researcher estimates the following model relating the return on a firms stock as a function of its price-to-earnings ratio and its price-to-sales ratio: Return = 0 + 1P/E + 2P/S + . A portion of...
Let A = {R, S| R and S are regular expressions and L(R) L(S)}. Show that A is decidable.
Let A = {R| R is a regular expression describing a language containing at least one string w that has 111 as a substring (i.e., w = x111y for some x and y)}. Show that A is decidable.
People who sell cars are often accused of treating male and female customers differently. Make up a series of statements to illustrate simple, joint, and conditional probabilities with respect to...
You are given three charged particles. Particles 1 and 2 carry charge $+q$ and particle 3 carries charge $-4 q$. (a) Determine the relative values of the separation distances $r_{12}$ and...
Compare the magnitudes of the gravitational and electric forces exerted by the nucleus of a hydrogen atom-a single proton $\left(m_{\mathrm{p}}=1.7 \times 10^{-27} \mathrm{~kg} ight)$ - on an...
Consider a jet engine operating on the Brayton cycle. The working substance is air, which consists primarily of diatomic molecules. The air is drawn in at atmospheric pressure, \(1.01 \times 10^{5}...
Would it help to place the section where each processor prints "Hello World" in Fig. 12.2 in the critical section? If so why and if not, why not?
A 2. 00-L sample of an ideal gas initially at 1. 00 atm and $273 \mathrm{~K}$ undergoes an isobaric process that cools the sample to $265 \mathrm{~K}$. (a) What is the final pressure in the gas?...
For 20Y6, Fishing Experiences Inc. initiated a sales promotion campaign that included the expenditure of an additional $45,000 for advertising. At the end of the year, Colt Schultz, the president, is...
Distinguish between the work performed by public accountants and the work performed by accountants in commerce and industry and in not-for-profit organisations.
A color image uses 16 bits to represent a pixel. What is the maximum number of different colors that can be represented?
What are the advantages of a multipoint connection over a point-to-point one?
What are the two types of line configuration?
You will modify the add method in the LinkedBag class. The add method is the only thing you should modify in LinkedBag. Add a second parameter to the method header that will be a boolean variable:...
Generate Random Decals is primitive please fix that as well As a license plate number, integers are to be used. Positive numbers add a car, negative numbers remove a car, zero stops the...
Describe the competitive positions in the drone industry and assess the opportunities for at least three positions in the industry.

Let = {0,1}. Show that the problem of determining whether a CFG generates some string in

Question:

Step by Step Answer:

Introduction to the theory of computation

Students also viewed these Computer science questions