Chapter 1: Q34P (page 89)

Let $Σ 2$ be the same as in Problem 1.33. Consider each row to be a binary number and let $D = {w \in Σ * 2 |$ the top row of w is a larger number than is the bottom row}. For example, $00101100 \in D$ , but $000111006 \in D$ . How that D is regular.

Short Answer

Expert verified

Dis a regular language.

Step by step solution

Considering each has binary number

The Given language is $D = {w \in \sum_{2}^{*} |$

The top of w is the larger number than is the bottom row}

Over the alphabet is

The Language for given expression

Here each row has binary number.

Explanation

Let M be theDFA, over the input alphabet .

The state transition diagram ofM is as follows:

Prove that D is a regular language.

A language is said to be regular if it is recognized by a DFA.

Let take string form language,

Initial state of the aboveDFA is ‘equal’

Parse string

Here ‘large’ is final state , the string is accepted by the DFA.

Thus, language of given D is accepted by the given.

DFA to recognize the language D.

Therefore, D is a regular language.

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Let $Σ 2$ be the same as in Problem 1.33. Consider each row to be a binary number and let $D = {w \in Σ * 2 |$ the top row of w is a larger number than is the bottom row}. For example, $00101100 \in D$ , but $000111006 \in D$ . How that D is regular.

Short Answer

Step by step solution

Considering each has binary number

Explanation

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Let Σ2be the same as in Problem 1.33. Consider each row to be a binary number and let D={w∈Σ*2|the top row of w is a larger number than is the bottom row}. For example, 00101100∈D, but 000111006∈D. How that D is regular.

Short Answer

Step by step solution

Considering each has binary number

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Computer Science Textbooks

Issues in Computer Science

Theory of Computation

Functional Programming

Big Data

Computer Systems

Data Structures

Study anywhere. Anytime. Across all devices.

Let $Σ 2$ be the same as in Problem 1.33. Consider each row to be a binary number and let $D = {w \in Σ * 2 |$ the top row of w is a larger number than is the bottom row}. For example, $00101100 \in D$ , but $000111006 \in D$ . How that D is regular.