Convert this DFA to a regular expression using a GNFA. **Converting a DFA to a Regular Expression Using a GNFA**To convert a Deterministic Finite Automaton (DFA) to a regular expression using a Generalized Nondeterministic Finite Automaton (GNFA), one can follow an algorithmic approach that incrementally simplifies the DFA by eliminating states and updating the transitions accordingly. Below, we have a detailed explanation of the DFA provided and the step-by-step process for conversion.### Diagram Description:1. **States**: - **q1** (initial and accepting state) - **q2** - **q3**2. **Transitions**: - From **q1** to **q1** with inputs **a, d**. - From **q1** to **q2** with inputs **a, b**. - From **q2** to **q2** with inputs **a, d**. - From **q2** to **q1** with inputs **b, c**. - From **q2** to **q3** with inputs **c, d**. - From **q3** to **q3** with inputs **b, c**.### Steps to Convert DFA to Regular Expression:1. **Add Start and Final States**: Add a new start state **qs** with epsilon (ε) transitions to the initial state **q1** and add a new final state **qf**. Connect every existing final state to **qf** with epsilon (ε) transitions.2. **Remove States One by One**: - In each step, remove an intermediate state and update the transitions between the remaining states with new regular expressions that account for the routes through the removed state. 3. **Generalize Transition Labels**: Replace the transition between states with generalized regular expressions that combine existing paths.4. **Simplify the Expression**: Once only **qs** and **qf** remain, the regular expression representing the language accepted by the original DFA will be on the edge from **qs** to **qf**.### Key Steps Involved:**Initial Configuration**: - Start state `qs` transitions to `q1` with ε. - Accept state `q1` transitions to `qf` with ε.**Intermediate Steps**: - Remove state `q2`: - Update the transitions using the paths that go

In the above dfa to convert in regular expression we saw here three states q1,q2and q3 here q1 is…

Answered: onvert this DFA to a regular expression…

onvert this DFA to a regular expression using a GNFA. а, d c, d q1 q2 93 а, b а, d ъ, с c, b

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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