Need help with this question. Thank you :) Which language over the alphabet {a,b} is recognised by a Finite Automaton with twostates, no loops, and one Final State, which is the same as the Start State?Select one:a. the language of all strings of odd lengthO b. the language of all nonempty strings of even lengthС.the language of all strings of even lengthO d. the empty languageе.the language of all strings, {a,b}*

Finite automata with two states No loops One final state which is same as start state is as below:

Answered: Which language over the alphabet {a,b}…

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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1. For each of the following regular expressions find a language (i.e., a set of strings over A = {a,b.c} that can be represented/described by that expression. a. a'bc + bc* b. b'aaac а. b.
Consider strings built out of the basic symbols a, b. Which of the following regular expressions captures all strings that contain an even number of a's? (a+b)*(ab*a)*b*a* (alb)* b*(ab*a)*b* b*(aba)*b*
2- Write a regular expression for each of the following languages over {a,b}: • String of a's and b's that begin with a and end with b. • Strings that have at least two a's. • Strings that have an even number of a's. • Strings that do not have two a's in a row. • Strings that do not end with the substring ab.
(a) L is a language with L = {r°101°r°10}. Which of the following strings are contained within L? 4. (i) 101011010 (ii) 11101110 (iii) 0101010 (iv) 10110 (v) 1010101010
Consider strings built out of the basic symbols a, b. Which of the following regular expressions captures all strings that contains at least two as but no consecutive as b*(abb*a)*b* (alb)* (a+b)*(ab*a)*b*a* b*(ab*a)*b*
regular expressions a. Find all strings in L ((a+bb)*) of length five. b. ** Find an nfa that accepts the language L ( aa* ( ab+b)). c. Find an nfa rhat accepts the language L ( aa*(a+b)).
Write in C language Description 請寫一個程式找到三個數的最大公因數。 Please write a program to find the greatest common divisor of three number. Input 輸入會包含多筆測試資料，每筆測試資料一行，每行中有三個正整數，整數間會用一個空白隔開。 Input consist several test case, each test case a line. For every test case there are three integer in it and separate by a space. Output 對每一筆測試資料輸出一行結果。 For each test case output the result in one line. Sample Input 1 3 6 9 10 15 20 Sample Output 1 3 5
Write a TM (Turing Machine) that accepts the language L = {w | w is a string of 0s and 1s whose decimal equivalent is a power of 3}. Ex. 1, 11, 1001, etc. (Include 1 as 3^0 = 1). You may write only the transitions.
a) Give an example of a string containing 11 that is accepted by the following automaton. b) Give an example of a string of length 8 that is rejected by the following automaton. c) Describe the language of this automaton in plain English. d) Describe the language of this automaton using Regular expression.
Write down Regular Expressions for the following languages. A. Strings of alphabet {a, b, c} which contains ab and ac as substrings. B. Strings of alphabet {0, 1, 2.9) which contains the odd years of 20th century. [Sample Accepted Strings: 2001, 2999, 2301.] C. {w|w ends with an even nonzero number of 0's} D. {w|w has at least 3 characters and the 3rd character is 0} E. {w |w neither contain two consecutive a's nor two consecutive b's } F. {w | w is any string except bb and bbb } G. Strings of alphabet {a, b, c} with odd number of a's followed by even number of b's. H. Student ID of BSCSE students of UIU from Spring 2017 till Spring 2019. Assume that UIU has only 300 I. students admitted in each trimester. Sample accepted strings: 011171001, 011182135, 011191300.
Let L be the language generated by the regular expression (a+b)(a+b)* over the alphabet (a, b). Which of the following statements is true? a) The pumping length of L is at least 4 b) The pumping length of Lis 2 c) The pumping length of L is 1 d) The pumping length of L is 3
1. Write regular expression for the following languages, alphabet {0,1} a. The set of strings that do not end with 11 b. The set of strings that do not contain substring 01 c. The set of strings having 0 at every 3rd position. d. Describe the language given by the regular expression 0*10*10*1(1|0)* e. Set of all strings that are at least of length 4 and contains an even number of 1's. 2. Draw the DFA for the following languages a. L = {w]w contains substring "aba" and has b in the second last position} b. L = {w[ every 3rd symbol in w is 0} e.g. 110100, 000110001. But 101 won't be accepted since the 3rd symbol is 1. c. Set of all strings that are at least of length 4 and contain an even number of 1's d. L = {w| The 3rd last symbol in w is 0}

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