Question: Question 3-Regular languages closed under operations Let & be some alphabet. We define the following operation on the set of all languages over E. The

Question 3-Regular languages closed under operations Let & be some alphabet.

Question 3-Regular languages closed under operations Let & be some alphabet. We define the following operation on the set of all languages over E. The operation 3MAJ(L1, L2, L3) takes in three languages L1, L2 and L3 and outputs the language of all words that are members of the majority of the input languages. Formally: 3MAJ(L1, L2, L3) {we 2* | at least two out of the L1, L2, L3 contain w}, where =* is the set of all words over . Prove that the class of regular languages is closed under the operation 3MAJ

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!

3. Question 3-Regular languages closed under operations Let be some alphabet. We define the following operation on the set of all languages over . The operation 3MAJ(L1, L2, L3) takes in three...

Q 3 ( 5 points ) Question 3 - Regular languages closed under operations Let be some alphabet. For a natural number k , we define the following operation on the set of all languages over . The...

Question 3 Regular languages closed under operations Let \ Sigma be some alphabet. For a natural number k , we define the following operation on the set of all languages over \ Sigma . The operation...

Let & be some alphabet. We define the following operation on the set of all languages over E. The operation 3MAJ(L1, L2, L3) takes in three languages L1, L2 and L3 and outputs the language of all...

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...

Q1. Let us define a new operation over two languages L1 and L2 and call it as Modified-Intersection. We will denote this operation as MI (L1, L2). It is defined to be the set of strings that are in...

Let be some alphabet. For a natural number k , we define the following operation on the set of all languages over . The operation MOVE k ( L 1 , L 2 ) takes in two languages L 1 and L 2 and outputs...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

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...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Suppose you are trying to decide whether you want to undertake a R&D project. The initial investment is $100 million. The upcoming costs are uncertain and there are three possibilities that are...

Calculate the acceleration of gravity on the surface of Mars's moon Phobos (M_(Phobos ))=1.3times 10^(16)(kg),R_(Phobos )=(11(km)). Express your answer with the appropriate units.

Beta is a measure of relative risk of a company compared to: Select one: Select the correct answer. Companies in the same industry The prior year Benchmark industries in the same market sector The...

Compared with half a century ago, adoption has become _ _ _ _ _ _ _ _ _ common, but it is more open and acceptabl e , so we probably discuss it _ _ _ _ _ _ _ . fill in the blanks more or much less or...

6. To maintain power, you should not compromise, even when an issue is of minor importance to you.

10. If you have good relationships with the people in your unit, then it is not necessary to have good relationships with people in other parts and levels of the organization.

13. You always should try to make a good first impression.