Give a dfa to recognize language

Assignment Help Theory of Computation

Reference no: EM133013258

Question 1 Suppose our alphabet is ∑ = {a, b}. Give a regular expression for the set of all strings with at least 3 occurrences of a. Give a DFA to recognize this language. You will be penalized for solutions that use more than 4 states.

Question 2 Show that the language consisting of as and bs appearing in any order, with the sum of number of as and the number of bs equal to a perfect power of 2 is not regular.

Question 3 Suppose that the alphabet is {a, b}.

Consider the language

L := {aⁿb^m |n = m mod 3}.

Is L regular? If so, construct a DFA to recognize it, if not, give a proof using the pumping lemma to show that it is not.

Question 4

Give an algorithm that takes as input a DFA and an NFA and decides whether the language recognized by the NFA is the language defined by the DFA. Use any algorithms covered in class as basic building blocks; i.e. you do not have to describe them

Reference no: EM133013258

Questions Cloud

Need a route optimisation for the clustering : Need a route optimisation for the clustering result file.

Determine the total fixed costs : In the month of lowest production, the company made 1,150 desks at a cost of $62,400. Using the high-low method of cost estimation, determine total fixed costs

What adjusting journal entries would you propose : Is the entity correct in classifying this as an asset? Or should this be classified as an expense? Why? (b) What adjusting journal entries would you propose

Which of the two should be chosen by the company : Assuming Project A and B are mutually exclusive projects, which of the two should be chosen by the company

Give a dfa to recognize language : Give a DFA to recognize this language. You will be penalized for solutions that use more than 4 states - decides whether the language recognized by the NFA

What is there TDS limit : Amira and Owen pay, on average, $800 towards their credit cards every month, What is there TDS limit

Calculate the amount of overhead to be applied : For 2019, the company's cost accountant estimated that the total overhead costs incurred would be $ 693,600. Calculate the amount of overhead to be applied

Problem - Budgeting and Performance Measurement : Problem - Budgeting and Performance Measurement - Briefly describe the relevance of using BSC at the Ministry of Health

Ideas about transnational practice : Share content and ideas about transnational practice that is informative for the members of the group and works to add to your professional network by asking fo

User Account

All Pages