Question: A string w in {A; C; G; T}* is GC-dense if every substring of w of length at least four is GC-rich. (a) Show that

A string w in {A; C; G; T}* is GC-dense if every substring of w of length at least four is GC-rich. (a) Show that the set of GC-dense strings in {A; C; G; T}* is regular. (b) Produce a context-free grammar in Chomsky normal form to generate all GC-dense strings in {A; C; G; T}*.

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!

In this question you will be asked to reflect on a project you have been involved in or observed, in which a design evolved, or could have evolved, through applying a theory of user behaviour. You...

ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...

DETAILS What is the maximum segment length of a 100Base-FX netdwork, The last character ('X', etc) refers to the line code method used. Line code is a patdtern of voltage, current or photons used to...

re Regular Languages and Finite Automata (a) Let L be the set of all strings over the alphabet {a, b} that end in a and do not contain the substring bb. Describe a deterministic finite automaton...

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

ENSURE WORK IS ORIGINAL OR I REJECT AND REPORT YOU TON THE SUPPORT INSTANTLYThe end result does now not should be taken care of. You may additionally expect n 6 length(xs). [Hint: Function least is a...

In this question assume that p and q are atomic formulae. (a) Compare and contrast path formulae and state formulae in temporal logic. [4 marks] (b) Describe and contrast the meanings of F(G p) and...

I need help on solving and answering this question. First here is some textbook pages that could be helpful for reference P11.9.85 [XC 10 pts] The Blum-Blum-Shub generator produces pseudorandom bits...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

1. Draw all the forms of Tyrosine at pH 10.5. I have the predominant form and the protonation and deprotonation values written out, but I'm not sure how to draw the other forms now. 2. Draw the...

Prepare the following adjusting entries in the General Journal and post to the General Ledger. Record Depreciation on Equipment, $1,000. Record Depreciation on Vehicle, $250. Supplies on hand at end...

Which of the following controls should you add to a form to identify other controls such as option buttons and check boxes? Text Box Label Caption Group Box

B. QUESTIONS (Management discussion exercises: Refer to chapter 4 Page 95 in the textbook) 1. What do you perceive to be the current status of business ethics in South Africa? Write a paragraph of...

Assume that the banking system has total reserves of $100 billion. Assume also that required reserves are 10 percent of checking deposits and that banks hold no excess reserves and households hold no...

As shown in Figure 3, the overall labor-force participation rate of men declined between 1970 and 2000. At the same time, the labor-force participation rate of women increased sharply. This overall...

The Bureau of Labor Statistics announced that in February 2008, of all adult Americans, 145,993,000 were employed, 7,381,000 were unemployed, and 79,436,000 were not in the labor force. Use this...