Write the o function for the following transition graphs (1) dfa (Sp5a : Q ×£→ Q) ak a 91 92 (2) nfa (SNF4 : Q × (EU{2}) → P(Q)) a, b a
Write the o function for the following transition graphs (1) dfa (Sp5a : Q ×£→ Q) ak a 91 92 (2) nfa (SNF4 : Q × (EU{2}) → P(Q)) a, b a
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question

Transcribed Image Text:**Transcription for Educational Website**
**1. Write the δ function for the following transition graphs:**
**(1) DFA (δ<sub>DFA</sub> : Q × Σ → Q)**
- **State Diagram:**
- The DFA consists of three states: \(q_0\), \(q_1\), and \(q_2\).
- Start state: \(q_0\).
- Accepting state: \(q_1\).
- Transitions:
- From \(q_0\):
- On input 'a', transition to \(q_1\).
- On input 'b', transition to \(q_2\).
- From \(q_1\):
- On input 'a' or 'b', loop back to \(q_1\) (self-loop).
- From \(q_2\):
- On input 'a' or 'b', loop back to \(q_2\) (self-loop).
**(2) NFA (δ<sub>NFA</sub> : Q × (Σ ∪ {λ}) → P(Q))**
- **State Diagram:**
- The NFA consists of three states: \(q_0\), \(q_1\), and \(q_2\).
- Start state: \(q_0\).
- Accepting state: \(q_1\).
- Transitions:
- From \(q_0\):
- On input 'a', transition to \(q_1\).
- On input 'b', transition to \(q_2\).
- From \(q_1\):
- On input 'a' or 'b', self-loop (stay at \(q_1\)).
- On λ (epsilon transition), move to \(q_2\).
- From \(q_2\):
- On input 'b', transition back to \(q_0\).
**2. Give the languages accepted in the above (1) and (2), respectively.**
- Explanation of languages:
- For the DFA, describe the language based on the transition rules.
- For the NFA, discuss the significance of epsilon transitions in the language acceptance.
This transcription provides a detailed explanation of the transition graphs for both a DFA and an NFA, useful for students learning about
Expert Solution

Step 1- Transition function for given DFA
Transition function for DFA is:
where Q= Finite set of states
= input alphabet
The transitions for the given DFA are:
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Solved in 2 steps

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