# Theory Of Computation Quiz

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
| By Dangwapacle_20
D
Dangwapacle_20
Community Contributor
Quizzes Created: 1 | Total Attempts: 84
Questions: 5 | Attempts: 84

Settings

• 1.

### States that, for a particular language to be a member of a language class, any sufficiently long string in the language contains a section, or sections, that can be removed, or repeated any number of times, with the resulting string remaining in that language.

• A.

Pumping lemma

• B.

Pumping lema

• C.

Pumping

• D.

Lemma

A. Pumping lemma
Explanation
The pumping lemma is a property that applies to regular and context-free languages. It states that for a language to be a member of a language class, any sufficiently long string in the language can be divided into sections that can be removed or repeated any number of times, while still remaining in the language. In other words, the pumping lemma provides a way to prove that a language is not regular or context-free by showing that there is a string that cannot be pumped.

Rate this question:

• 2.

### Can be used to determine if a particular language is not in a given language class. However, they cannot be used to determine if a language is in a given class, since satisfying the pumping lemma is a necessary, but not sufficient, condition for class membership.

• A.

Pumping

• B.

Lemmas

• C.

Pumping lemma

• D.

Pumping lemmas

B. Lemmas
Explanation
The given statement explains that pumping lemmas can be used to determine if a particular language is not in a given language class. This means that if a language fails to satisfy the conditions of the pumping lemma, it can be concluded that the language does not belong to the given class. However, it is important to note that satisfying the pumping lemma is only a necessary condition for class membership, not a sufficient one. Therefore, even if a language satisfies the pumping lemma, it does not guarantee that the language belongs to the given class.

Rate this question:

• 3.

### This is is a second, stronger pumping lemma for context-free languages?

• A.

Pumping Lemma

• B.

Pumping Argument

• C.

Ogden's lemma

• D.

Lemmas

C. Ogden's lemma
Explanation
Ogden's lemma is a stronger version of the pumping lemma for context-free languages. It provides additional conditions that need to be satisfied in order to prove that a language is not context-free. While the pumping lemma only considers the length of strings in a language, Ogden's lemma takes into account the number of nonterminals and their positions in the derivation tree. By imposing stricter requirements, Ogden's lemma allows for a more precise analysis of context-free languages and helps to identify more complex non-context-free languages.

Rate this question:

• 4.

### The two most important examples are?

• A.

Pumping lemma for regular languages and the pumping lemma for irregular languages

• B.

Pumping lemma for irregular languages and the pumping lemma for context-free languages

• C.

Pumping lemma for regular languages and the pumping lemma for context-free languages

• D.

Pumping lemma for irregular languages and the pumping lemma for regular languages

C. Pumping lemma for regular languages and the pumping lemma for context-free languages
Explanation
The pumping lemma is a fundamental tool in formal language theory used to prove that a language is not regular or context-free. The pumping lemma for regular languages states that for any regular language, there exists a pumping length such that any string longer than that length can be divided into five parts, where the middle three parts can be repeated any number of times. The pumping lemma for context-free languages is a similar concept but applies to context-free languages instead. Both lemmas are important examples because they provide a way to prove the non-regularity or non-context-freeness of languages.

Rate this question:

• 5.

### For every regular language there is a ___________ (FSA) that accepts the language?

• A.

Finite social automation

• B.

Finite scene automation

• C.

Final state automation

• D.

Finite state automation

D. Finite state automation
Explanation
The correct answer is "finite state automation" because for every regular language, there exists a finite state automaton (FSA) that can accept and recognize that language. A finite state automaton is a mathematical model used to describe the behavior of a system, and in the case of regular languages, it can be used to represent and process strings that belong to that language. Therefore, a finite state automation is a suitable choice for accepting regular languages.

Rate this question:

Related Topics