For the following context-free grammar G2 = < V2 , , S , P2 > generates L2
V2 = { S,A ,B} , ={0,1 } and P2 = { S -> 0S0 | A ,A -> 1B1 ,B -> 0B0 |00| }
Construct CFG (b) (3 points) CFG: L2 = {wwR | w is a binary string and...
1. Construct a DFSM to accept the language: L = {w € {a,b}*: w contains at least 3 a's and no more than 3 b's} 2. Let acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E ', let W denote the string w with the...
Construct DFA's that recognize the following languages over the alphabet {a,b}: 1. {w|w is any string except abba or aba}. Prove that your DFA recognizes exactly the specified language. 2. {w|w contains a substring either ababb or bbb}. Write the formal description for this DFA too.
For a string s ∈ {0, 1} let denote the number represented by in the binary * s2 s numeral system. For example 1110 in binary has a value of 14 . Consider the language: L = {u#w | u,w ∈ {0, 1} , u } , * 2 + 1 = w2 meaning it contains all strings u#w such that u + 1 = w holds true in the binary system. For example, 1010#1011 ∈ L and 0011#100 ∈...
Problem 1 Create a CFG that generates each of the languages below. [10 points] [10 points] wR is a substring of r if there are strings y, z E {a, b)" such that r = ywR2. A = {w I w E {a, b)" has more as than bs} B = {w#r l w,xe(a, b)" and wR a. b. is a substring of r). Rememb er, c. [10 points] C = {amb"ck 1 m, n > 0 and k =...
DO NUMBER 3 2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E X", let W denote the string w with the a's and b's flipped. For example, for w aabbab: w bbaaba wR babbaa abaabb {wwR Construct a PDA to accept the language:...
DO NUMBER 4 AND 5 2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E X", let W denote the string w with the a's and b's flipped. For example, for w aabbab: w bbaaba wR babbaa abaabb {wwR Construct a PDA to accept...
Hello, I need help solving these two computer science questions. 3. Give a CFG for each of the following: (a) The language {0416 with a +b}. (b) All binary palindromes with exactly three 1's (such as 001010100). 4. Consider the following CFG with start state S: SOAS 1BS € A → OAA 1 B + 1BBO Determine the language generated by S. Justify your answer.
1. Construct a DFA that recognizes each of the following languages: a. L1 = {w € {a, b}* | w contains at least two a's and at least two b’s} b. L2 = {w € {a,b}* | w does not contain the substring abba} C. L3 = {w € {a, b}* | the length of w is a multiple of 4}
can you plzz do question 1 and 2 Question 1. Design a CFG for the language over = {1, #} whose elements consist of every pair of distinct, #-separated unary values: L = {rı#x2 | 21, 22 € 1", 21 * x2}. Question 2. Design a CFG for the language of binary strings that contain at least one 1 in their second half: L = {uv | UE (OU 1)", v € OU 1)*1(0U 1)", [u '}. Question 3. This...
1. Construct a DFSM to accept the language: L w E ab): w contains at least 3 as and no more than 3 bs) 2. Let E (acgt and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg. ge. Construct both a DFSM to accept the language and a regular expression that represents the language. 3. Let ab. For a string w E , let w denote the string w with the...