Show that the problem of determining whether a CFG generates all strings in 1 * is decidable.

Question:

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.

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

Let = {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.
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.
For Wilder Corporation, sales is $1,600,000 (8,000 units), fixed expenses are $480,000, and the contribution margin per unit is $80. What is the margin of safety in dollars?
Day 2, when 8 calls arrive in 1 h while only 3.5 were expected. Consider the data in Section 8.4, Exercises 23 and 24. Find the difference in support of the null and alternative hypotheses.
How can we find out about language by studying the human brain, and what do such studies reveal?
Describe an organizations marketing department and the role of a product manager.
Do a SWOT analysis for Cliptomania. Identify Cliptomanias strengths, weaknesses, opportunities, and threats. Cliptomania, LLC, a limited liability corporation, sells clipon earrings on the Internet...
On January 3, 2013, Munoz Co. purchased machinery. The machinery has an estimated useful life of eight years and an estimated residual value of $30,000. The depreciation applicable to this machinery...
1. Using the post-acquisition integration matrix, Figure 11.3, compare Googles early style of acquisition management with the integration of Nest. 2. How has Google managed to be successful in...
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.
Refer to the 1994 annual report of MCI and answer the following questions. a. Compute MCIs long-term debt-to-equity ratio over the last five years. In general, is it increasing or decreasing, and why...
The following information is available for two different types of businesses for the 2011 accounting period. Dixon Consulting is a service business that provides consulting services to small...
Marino Basket Company had a $\$ 6,200$ beginning balance in its Merchandise Inventory account. The following information regarding Marino's purchases and sales of inventory during its 2011...
On March 6, 2011, Bob's Imports purchased merchandise from Watches Inc. with a list price of $\$ 31,000$, terms $2 / 10, n / 45$. On March 10, Bob's returned merchandise to Watches Inc. for...
The following events apply to Tops Gift Shop for 2012, its first year of operation: 1. Acquired $\$ 45,000$ cash from the issue of common stock. 2. Issued common stock to Kayla Taylor, one of the...
Indicate whether each of the following costs is a product cost or a period (selling and administrative) cost. a. Transportation-in. b. Insurance on the office building. c. Office supplies. d. Costs...
List three logical operators used in programming.
What is EBIT/eps analysis? What information does it provide managers?
For each of the following four networks, discuss the consequences if a connection fails. a. Five devices arranged in a mesh topology b. Five devices arranged in a star topology (not counting the hub)...
Categorize the four basic topologies in terms of line configuration.
What is an internet? What is the Internet?
Famas Llamas has a weighted average cost of capital of 8.8 percent. The companys cost of equity is 12 percent, and its pretax cost of debt is 6.8 percent. The tax rate is 22 percent. What is the...
The common stock of a company paid 1.32 in dividens last year. Dividens are expected to gros at an 8 percent annual rate for an indefinite number of years. A) If the company's current market price is...
(1 point) Bill makes annual deposits of $1900 to an an IRA earning 5% compounded annually for 14 years. At the end of the 14 years Bil retires. a) What was the value of his IRA at the end of 14...

Show that the problem of determining whether a CFG generates all strings in 1 * is decidable.

Question:

Step by Step Answer:

To show that a problem is decidable we need to show that there exists an algorithm that can correctl...View the full answer

Introduction to the theory of computation

Students also viewed these Computer science questions