


Let A={a,b,c}. Describe the language L(r) for each of the following regular expressions: (a) rFab*c; (b)r=(abuc)*;...
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
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
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)
Let L be a regular language on sigma = {a, b, d, e}. Let L' be the set of strings in L that contain the substring aab. Show that L' is a regular language.
3. (8) Let L be the language accepted by the following finite state machine: q0 q1 q2 q3 Answer Yes or No: Does each of the following regular expressions correctly describe L? (1) (a uba)bb'a (2) (EU b)a(bb%)* (3) ba u ab*a (4) (a ba)(bb*a)*
Prove that for each regular language L the following language is regular: shift(L) = {uv | vu ∈ L}
Theoretical Computer Science | Regular Expressions Let R be the regular expression (bba∗a + b) * (a + abb). Give anE-NFA that is equivalent to R. Show all steps and do not simplify.
The grammartofsm algorithm:
Let L be the language described by the following regular grammar: a. For each of the following strings, indicate whether it is a member of L: v. zyyzz b. Use grammartofsm (Rich 2008; page 157) to construct an FSM that accepts L c. Give a concise (but complete) description of L in plain English. We were unable to transcribe this image
Let A be a regular language, B = A*, and C = A o B. In each case, argue briefly why. a) Is A = B? b) Is B = C? c) Is C = A?
Give regular expressions for the following languages: (a) The language of all strings over {a,b} except the empty string. (b) The language of all strings over {a,b} that contain both bab and bba as substrings. (c)L k = {w ∈ {a,b} * | w contains a substring having 3 more b’s than a’s}. (d) The language of all strings over {a,b} that have a b in every odd position (first symbol is considered position 1; empty string should be accepted)...