Consider the NFA \( N_1 \) shown in Figure 1 over the alphabet \( \Sigma_1 = \{0, 1\} \).[Diagram: An NFA with three states \( q_1, q_2, q_3 \).]- The initial state is \( q_1 \).- Transition from \( q_1 \) to \( q_2 \) on input \( 1 \).- Transition from \( q_1 \) to \( q_3 \) on input \( 0 \).- Transition from \( q_3 \) to \( q_1 \) on \( \epsilon \) (epsilon transition).- Transition from \( q_3 \) to \( q_2 \) on input \( 0 \) or \( 1 \).- Accepting state is \( q_2 \).*Figure 1: NFA \( N_1 \) for Problem 2.*1. What are the set of states, initial state, and accepting state(s) of the NFA \( N_1 \)?2. Write three elements in the transition relation of \( N_1 \).3. Explain in simple English what is the language recognized by \( N_1 \)?4. What is the complement of the language recognized by \( N_1 \)? **Exercise 5:** Describe in simple English, the language represented by the following regular expressions.(a) \((1 \cup 01 \cup 001)^*(\epsilon \cup 0 \cup 00)\)(b) \((11 \cup 0)^*(00 \cup 1)^*\)**Exercise 6:**Prove that the concatenation operation is not commutative over regular languages (do not state that this result has been proved in class).

Consider the NFA N₁ shown in Figure 1 over the alphabet Σ₁ = {0, 1}. 0 1 92 91 € X Figure 1: NFA N₁ for Problem 2. 0 0,1 93 1. What are the set of states, initial state, and accepting state(s) of the NFA N₁? 2. Write three elements in the the transition relation of N₁. 3. Explain in simple English what is the language recognized by N₁? 4. What is the compliment of the language recognized by N₁?

Consider the NFA N₁ shown in Figure 1 over the alphabet Σ₁ = {0, 1}. 0 1 92 91 € X Figure 1: NFA N₁ for Problem 2. 0 0,1 93 1. What are the set of states, initial state, and accepting state(s) of the NFA N₁? 2. Write three elements in the the transition relation of N₁. 3. Explain in simple English what is the language recognized by N₁? 4. What is the compliment of the language recognized by N₁?

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

See similar textbooks

Similar questions

2. Consider two strings X and Y as given below; X= {a, c, b, a, e, d} Y = {a, b, c, a, d, f} Construct a LCS table and find out the length of the longest common subsequence (LCS) and the LCS itself, using Dynamic Programming Algorithm.
Follow the given steps to convert an NFA to its equivalent DFA: Suppose we are given the following NFA over the alphabet {a, b}: Compute the lambda-closure for each of the following states: λ(0) = λ(1) = λ(2) = λ(3) =
Given the following sequence of transitions, define the transition function for each derivation. (Hint: you need to define 4 transitions. For each transition, clearly show the inputs or the arguments and the output of 6). qoaba - xq,ba Exq2ya F q2xya F xqoya T
This question is concerned with Booleans and Lists using predicate logic in Lean.Define a function diffb : bool → bool → bool using Lean syntax which implements logical inequivalence (xor) for booleans. How would you specify diffb in Lean using ≠?
Prove the language L = {1n | m ∈ N ∧n = 2m} is non-regular. Explain each step of your reasoning with precision.
Prove the following argument. Make sure you write the rule/law you applied at each step. ¯p ^ q r→ p → S St .. t
Please provide an example that works for all 3 sub-questions. Don't answer the subquestions.
The topic is on math logic Let M1 be a Kripke model with W = {wO, w1} and R = {{wo, w1}}. Moreover, suppose l(o, A) = 0 and I(wi, A) = 1. In this model, DA → A is not valid in wo. In other words, V(wO, DA → A) = 0. Exercise. Please prove this fact. (Note: this means DA → A is not true in a non-reflexive frame)