Question: Let G be a grammar in Chomsky Normal Form with n variables. Suppose that there is a derivation (using the rules of G) of a

Let G be a grammar in Chomsky Normal Form with n

Let G be a grammar in Chomsky Normal Form with n variables. Suppose that there is a derivation (using the rules of G) of a string in the language of G such that the derivation has at least 2" steps. Prove that the language generated by G is infinite (Hint. Observe that any parse tree generated by a grammar in CNF is a binary tree). Let G be a grammar in Chomsky Normal Form with n variables. Suppose that there is a derivation (using the rules of G) of a string in the language of G such that the derivation has at least 2" steps. Prove that the language generated by G is infinite (Hint. Observe that any parse tree generated by a grammar in CNF is a binary tree)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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

Students Have Also Explored These Related Databases Questions!

CFG 2.35 Let G be a CFG in Chomsky normal form that contains b variables. Show that if G generates some string with a derivation having at least 2 steps, L(G) is infinite

Let G be a CFG in Chomsky normal form that contains b variables. Show that if G generates some string with a derivation having at least 2b steps, L(G) is infinite.

a . = 1 = c y - 4 * ) d = i M a Eer 4 = . y cescis 9 x + x = 1 = 1 MODULE 4 Construct the CFG for the given language. Illustrate the parse tree, Leftmost derivation and right most derivation for the...

Question 4 please, both a and b Unless otherwise noted, the alphabet for all questions below is assumed to be = {0,1). 1. [12 points] This question develops a basic understanding of CFGs and parse...

QQuestion 4 please. Question 4. Unless otherwise noted, the alphabet for all questions below is assumed to be = {0,1). 1. [12 points] This question develops a basic understanding of CFGs and parse...

Problem 3 Convert the following grammar to Chomsky Normal Form (CNF), using the process described by Sipser. Show at least the following: (1) the grammar after you have fixed the start symbol and...

resolved first by reducing the raw hash value modulo the size of the array and arranging that each array entry refers to the start of a linked list of (index,value) pairs. Retrieving a value from the...

Lecture: CFL - PDA 1 . ( 2 0 points ) Give context - free grammars that generate the following languages. In all parts, the alphabet \ Sigma is { 0 , 1 } . a . { w | w starts and ends with the same...

* * Solve all but submit 5 only. Q 1 . Prove using pumping theorem for regular languages that L = { a n b m , m 2 n } is not regular. Q 2 . Prove by induction that for the following CFG G , L ( G ) =...

3. a) Suppose a function y = g(x) satisfies g(0) = 0 and 0 g'(x) 1 for all values of x in the interval 0x3. Explain carefully why the graph of 9 must lie entirely in the triangular region shaded...

5. Design an octal converter which has inputs of 4-bit BCD number (0~9) and outputs of octal and remained 4-bit binary number. Octal Counter octal binary number

What percentage of water loss is likely to cause an athicte to collhpse? 1 percent 2 percent 4 percent 5 pereent 7 percent

Keller Technology produces specialised machinery customised to their clients' need. The following information is available regarding Keller's operations: Barings Systems had ordered a custom machine...

3. Identifying situations that require employers to pay workers for their time is a challenge. Managers should understand the conditions that trigger payment of wages. These include shorter meal and...

2. When pay decisions are viewed as inappropriate or unfair, lawsuits can occur. There is growing concern about litigation targeting the misclassification of employees, overtime pay, and other wage...

LO1 Identify the three general components of total rewards and give examples of each.