Exercise 2: Find the NFAs that accepts the following regular expressions: The language (10 u 110)*...
Webber Chap. 7 Exercise 2 For each of these regular expressions, give two NFAs: the exact one constructed by the proof of Lemma 7.1, and the smallest one you can think of. d. 0 + 1 e. (00)* f. ab*
7. 15 Points For a regular expression r, we use L(r) to denote the language it represents. For each of the following regular expressions r, find an NFA that accepts L(r). (b). L((a +b+A) b(a bb)) し(((aa
7. 15 Points For a regular expression r, we use L(r) to denote the language it represents. For each of the following regular expressions r, find an NFA that accepts L(r). (b). L((a +b+A) b(a bb)) し(((aa
This question deals with NFAs, DFAs, and regular expressions. (a) Using only the symbols described in the lecture slides, write a regular expression that describes all strings over the alphabet Σ = {0,1} that are at are at least four bits long and begin and end with the same bit. (b) Draw a DFA, that accepts strings strings over the alphabet Σ = {0, 1} such that if you read the string from left to right, the difference between the...
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. (6 points) a. bac + bc b. b*ac + bc C. b*ccca* a. 2. Find a regular expression to describe the given language: {b, ac, bac, bc, ..., b”ac, bc”, ... } (3 points)
Describe, as precisely as possible, the language generated by each of the following regular expressions. The alphabet is {a, b} (1) (aaa)* b(bb)* (2) abab(ab)* (3) b (e U a) b (4) a(aa) (bb)* UE*baa
Purpose: Gain experience converting from finite automata to regular expressions. Give regular expressions generating the following languages over {0,1}. Do these by hand by converting the finite automata. In your answers, you may use the shorthand Σ = (0+1) a. {w | w does not contain the substring 110} b. {w | w is any string except 11 and 111}
Constuct NFAs for the following. ∑ = {0,1} 1) The language a(abb* + b ) + bb* 2) Allstringswithoutadoubleletter.
(a) Give 2 strings that are members of language specified by the regular expression (0+ 1)∗ but are not members of the language specified by 0∗ + 1∗ . Then give 2 strings that are members of both languages. Assume the alphabet is Σ = {0, 1}. (b) For each of the following languages specified by regular expressions, give 2 strings that are members and 2 strings that are not members (a total of 4 strings for each part). Assume...
2. If L is a regular language, prove that the language 11 = { uv/ u E 1 , |v|-2) is also regular. (Hint: Can you build an NFA of L1 using an NFA of a language L? Use N, the NFA of the language L)
1. Complete the following exercises a) For Σ = {a, b} find regular expressions for the compliment of the following languages L = L(aa*bb) b) Let Li = L(ab*aa), L2 = L(a"bba"). Find a regular expression for (L1 n Ljl2. c) The symmetric difference of two sets Sı and S2 is defined as sı Θ s,-(x : x E Si or x E S2 but x is not in both S1 and S2). Show that the family of regular languages...