Consider the following NDFA
Prove that each accepting string has the same number of 0 and 1
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Consider the following NDFA Prove that each accepting string has the same number of 0 and...
2. A binary string is a finite sequence v = a1a2 . . . an, where each ai is either 0 or 1. In this case n is the length of the string v. The strings a1, a1a2, . . . , a1 . . . an−1, a1 . . . an are all prefixes of v. On the set X of all binary strings consider the relations R1 and R2 defined as follows: R1 = {(w, v) | w...
Write a function that determines if a string has the same number of 0’s and 1’s using a stack. The function must run in O(N) time. You can assume there already exists a stack class and can just use it (Java Please)
prove each of the following theorems using weak induction 1 Weak Induction Prove each of the following theorems using weak induction. Theorem 1. an = 10.4" is a closed form for an = 4an-1 with ao = 10. Theorem 2. an = (-3)"-1.15 is a closed form for an = -3an-1 with a1 = 15. Theorem 3. In E NU{0}, D, 21 = 2n+1 -1. Theorem 4. Vn e N, 2" <2n+1 - 2n-1 – 1. Theorem 5. In E...
Prove that if every state of a DFA M is an accepting state (i.e., machine M has F = Q) then M accepts every string (i.e., L(M) = ). Is the converse true? In other words, if L(M) = for some DFA M. does it follow that M has F = Q?
3. Prove that each of the following polynomials has the stated number of (real) (a) p(x) -x* -4x3 +3x2 +2x- 1, 4 zeros;
Can someone answer number 4 for me? (60 pt., 12 pt. each) Prove each of the following statements using induction. For each statement, answer the following questions. a. (2 pt.) Complete the basis step of the proof b. (2 pt.) What is the inductive hypothesis? c. (2 pt.) What do you need to show in the inductive step of the proof? d. (6 pt.) Complete the inductive step of the proof. 1. Prove that Σ(-1). 2"+1-2-1) for any nonnegative integer...
A phone number is an ordered string of ten digits. Each digit is one of 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. (a) How many phone numbers are there that do not contain any zeros? (b) How many phone numbers are there that start with 216 or 440? (c) How many phone numbers are there that start or end with 3? (d) What is the smallest number of phone numbers that guarantee at least nine of...
2. A binary string is a finite sequence u-діаг . . . an, where each ai is either 0 or 1. In this case n is the length of the string v. The strings ai, aia2,... ,ai... an-1,ai... an are all prefixes of v. On the set X of all binary strings consider the relations Ri and R2 defined as follows: Ri-(w, v) w and v have the same length ) R2 = {(u, v) I w is a prefix...
Given any string w ∈ {0, 1}∗, let n0(w) = number of 0′s in w and n1(w) = number of 1′s in w. Prove, by using the pumping lemma, that the language {w | 0 ≤ n0(w) ≤ 2∗n1(w)+1.} is not a regular language.
Question 9 0 Consider the following method. public static String[] strArrMethod(String] arr) String[] result = new String(arr.length]; for (int j - 0; j < arr.length; j++) String sm = arr[i]; for (int k = j + 1; k < arr.length; k++) if (arr[k].length() < sm.length) sm - arr[k]; // Line 12 result[j] = SM; return result; Consider the following code segment. String[] test Two - {"last", "day" of "the", school","year"); String[] resultTrostrar Method(test Two) How many times is the line...