Find regular grammars for the following
L = {w : (na (w) − nb (w)) mod 3 = 1}.
Find regular grammars for the following L = {w : (na (w) − nb (w)) mod...
Construct PDA for the following language L = {w : 2 na (w) ≤ nb (w) ≤3 na (w)}
Give context-free grammars for the following languages: (b) {w € {a,b}* : na(w) # 2n6(w)}
HW03 - 1 to 4 Problem 1 Find a regular expression for the set ^a"bm: (n + m) is odd Problem 2 Give regular expressions for the following languages. 3. The complement of L 4. The complement of L2 Problem 3 Find a regular expression for L = {w: na(w) and nb(w) are both even } Problem 4 Find dfa's that accept the following languages A. L-L(ab a)UL((ab) ba)
Construct a NPDA with transition graph using 4 states that accepts the language L={w: na(w)-nb(w)=2} on Σ={a,b} subject-- formal language of automata theory.
Let ?= (a, b). The Language L = {w E ?. : na(w) < na(w)) is not regular. (Note: na(w) and nu(w) are the number of a's and 's in tw, respectively.) To show this language is not regular, suppose you are given p. You now have complete choice of w. So choose wa+1, Of course you see how this satisfies the requirements of words in the language. Now, answer the following: (a) What is the largest value of lryl?...
Find the context free Grammar for the following language L = {w ∈ {a, b, c}* : na (w) + nb (w) ≠ nc (w)}.
5. Prove that the following languages are not regular: (a) L = {a"bak-k < n+1). (b) L-(angla": kメn + 1). (c) L = {anglak : n = l or l k} . (d) L = {anb : n2 1} L = {w : na (w)关nb (w)). "(f) L = {ww : w E {a, b)'). (g) L = {w"www" : w E {a,b}*}
3" (25%) Give regular expressions for the following languages on {a, b). (a) L,-(a"b": n 4, m 3) (b) The complement of Li. (c) L- (w: w mod 3 03. Note: lw: the length of w (d) L3 w: |w mod 30 naww) appear) 3" (25%) Give regular expressions for the following languages on {a, b). (a) L,-(a"b": n 4, m 3) (b) The complement of Li. (c) L- (w: w mod 3 03. Note: lw: the length of w...
Question 3 (5 Points) Find context free grammars L = a"b",n is a multiple of three Find context-free grammars for the following languages (with n 2 0, m 2 0) ** L = {a"bm : n < m+3}. (a) (b) L= {a"bm : n = m - 1}. L = {a"bm 2m}. L {a"b" 2n < m < 3n}. (c) (d)
Write a legal regular expression for the following regular language. L = { w | w ∊ (0 + 1)* and w contains an even number of 1’s AND an even number of 0’s}.