La∗b∗ = {w ∈ Σ∗ : w is of the form anbm for n, m ≥ 0} – Lanbn Find regular expressions for the following languages: – The set of all strings with an even number of 0's – The set of all strings of even length (length multiple of k) – The set
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[PDF] Homework 2 Solutions
22 mar 2016 · Find a regular expression for the set {anbm : (n + m) is even} Answer There are two cases: • n and m are even: (aa)∗(bb∗);
[PDF] Homework 2 Solutions
23 mar 2017 · Find a regular expression for the set {anbm : (n + m) is odd} Answer There are two cases: • n is even and m is odd: (aa)∗b(bb)
[PDF] Formal Language Theory Problem Sheet 1
Find regular expression for the set {anbm : (n + m) is even} 5 Give a regular expression for the following languages: (a) L = {anbm : n ≥ 4,m ≤ 3} (b) L = { anbm
[PDF] Automata Theory Assignment Due: May 9, 2008 - Learn Group
(10 pts) Find a regular expression for the set {anbm : n ≥ 3,m is even} Answer: r = aaaa∗(bb)∗ 2 (10 pts) Give a simple verbal description of the language
[PDF] CS21004 - Tutorial 4 - CSE IIT Kgp
Design NFAs for the following regular expressions over Σ = {a, b}: a (aa∗ + aba ∗b∗)∗ Find the regular grammars for the following languages on {a, b} a L = {w : na(w) and nb(w) are both even} (To submit) b L = {anbm : n ≥ 2,m Solution: A string not in L if it is of the form anbm, with either n < 4 or m > 3, but this does
[PDF] Regular Expressions - Computer Science - University of Colorado
La∗b∗ = {w ∈ Σ∗ : w is of the form anbm for n, m ≥ 0} – Lanbn Find regular expressions for the following languages: – The set of all strings with an even number of 0's – The set of all strings of even length (length multiple of k) – The set
Exercises
(c) the set of strings x E {O, 1}* such that #O(x) is even and #1(x) Match each NFA with an equivalent regular expression (a) 1 (b) 1 (c) (i) {anbm I n ~ m and m ~ 481} Prove that the set {anbmck I n,m, k ~ 0, n + m = k} is not regular 40
[PDF] Do not open this exam until you are told Read these in - Cs Umd
regular The alphabet is {a, b} and N = {0,1,2, } (a) L1 = {anbm n, m ∈ N} (b) NOTE: I warned you that I wanted a Regular Expression, so if HW5, problem 2e, the posted solutions, we pump ZERO times to get an1+n3 b2n empty string is the empty set (it is, but we never said so in class) Even for NDFA's for
[PDF] Solution to Problem Set 1 - UCSD CSE
21 jan 2003 · L = {ww contains an even number of 0's, or exactly two 1's } (it's not hard to see how to get to the regular expression from the above is the language of all the words that either (a) are of the form anbm, where n = m, or (b)
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