Answered: Select three states from the GNFA to…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Question

Select three states from the GNFA to delete. Then, create a new GNFA for each individual deleted state that is equivalent to M but does not have the selected state.

Expert Solution

Step 1

Theory of computation: a generalized nondeterministic finite automaton (GNFA) also known as expression automation or a generalized nondeterministic finite state machine, is a variation of a nondeterministic finite automaton (NFA) where each transition is labeled with any regular expression.

A DFA can be converted to an equivalent GNFA by

Adding a new start state with an $\in$ transition to the old start state.
Adding a new accepting state and adding $\in$ transitions from all old accepting states to the new one.

Defining the transition function $δ$ ' for the GNFA in terms of the transition function $δ$ for the DFA by

$δ$ ' (qi, qj)=a if and only if (qi, q)=qj