How can I construct Context Free Grammars for these sets? a. A = {a^b²nck | k,n ≥ 1}b. B = {a²b³ck d²+j+k | i, j, k ≥ 0}c. C = {a,b}* − {wwh | w = {a,b}*} where wⓇ denotes the reverse of string w.-

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Answered: a. A = {a^b²nck | k,n ≥ 1} b. B =…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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2.a Σ : {c,A,G,T}, L = { w : w = CAG™T™C, m = j + n }. For example, CAGTTC E L; CTAGTC ¢ L because the symbols are not in the order specified by the characteristic function; CAGTT ¢ L because it does not end with c; and CAGGTTC € L because the number of T's do not equal the number of A's plus the number of G's. Prove that L¢ RLs using the RL pumping theorem.
Let L = {w = [a, b}*: every a in w is immediately followed by at least one b}.
1. Write the class of strings which represents the given regular expressions a.) (A-Za-z]+ b.) [A-Z][a-z]* c.) plaeiou}[.2}t d.) \d+(\.\d+)? e.) (laeiou][^aeiou][^aeiou])"
Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × A
1. Determine |A|, where: {z} b. A = {{z}} _d. A = {z, {z}, {z, {z}}} _e. A = P({z}) _f. A = P({Ø,z}) a. A = _c. A = {z, {z}}
3. Give the following FAs over the alphabet Σ ={0,1,2} a-) A DFA for { strings in which the number of even digits is odd} b-) A DFA for { strings, when interpreted as a base-3 number, are even numbers } c-) A DFA for { strings, when interpreted as a base-3 number, are even numbers having odd number of even digits } d-) A DFA for { strings, when interpreted as a base-3 number, are not an even number} e-) An & -NFA for {], when interpreted as a base-3 number, is an even number} (@: reverse of @ )
function [P, A] = rect(L, W) P= 2 (L+ W); A =L*W; end Above function is defined to find perimeter and area of a rectangle. If a rectangle has length 10 mm and width 7 mm then the correct way to get perimeter and area of a given rectangle by executing this function is Select one: a. [A, B] = rect(10, 7) b. rect(7, 10) c. [A, B] = rect(7, 10) d. rect(10, 7)
def longest_unique_substring(s: str) -> str:"""Given a string <s>, return the longest unique substring that occurs within<s>.A unique substring is a substring within <s> which DOES NOT have anyrepeating characters. As an example, "xd" is unique but "xxd" is not.If there are two equal length unique substrings within <s>, return the onethat starts first (i.e., begins at a smaller index).tips:In order to get your function to run fast, consider using a dictionary tostore the indexes of previously seen characters, from there, you canfollow a set of rules based on each new character you see to determinethe length of the longest unique substring seen so far.>>> longest_unique_substring('aab')'ab'""" RESTRICTIONS: - Do not add any imports and do it on python .Do not use recursion. Do not use break/continue.Do not use try-except statements.
def longest_unique_substring(s: str) -> str:"""Given a string <s>, return the longest unique substring that occurs within<s>.A unique substring is a substring within <s> which DOES NOT have anyrepeating characters. As an example, "xd" is unique but "xxd" is not.If there are two equal length unique substrings within <s>, return the onethat starts first (i.e., begins at a smaller index).tips:In order to get your function to run fast, consider using a dictionary tostore the indexes of previously seen characters, from there, you canfollow a set of rules based on each new character you see to determinethe length of the longest unique substring seen so far.>>> longest_unique_substring('aab')'ab' >>> longest_unique_substring('abcabcbb')'abc'""" RESTRICTIONS: - Do not add any imports and do it on python .Do not use recursion. Do not use break/continue.Do not use try-except statements.
def longest_unique_substring(s: str) -> str:"""Given a string <s>, return the longest unique substring that occurs within<s>.A unique substring is a substring within <s> which DOES NOT have anyrepeating characters. As an example, "xd" is unique but "xxd" is not.If there are two equal length unique substrings within <s>, return the onethat starts first (i.e., begins at a smaller index).tips:In order to get your function to run fast, consider using a dictionary tostore the indexes of previously seen characters, from there, you canfollow a set of rules based on each new character you see to determinethe length of the longest unique substring seen so far.>>> longest_unique_substring('aab')'ab' >>> longest_unique_substring('abcabcbb')'abc'"""
: Write a small matrix library The library should have the following functions: double sumOfRow(const double mat[][MAX_COL], const int row, const int maxRow); double sumOfCol(const double mat[][MAX_COL], const int column, const int maxRow); void fillWithRandomNum(double mat[][MAX_COL], const int maxRow); void printMatrix(const double mat[][MAX_COL], const int maxRow);
IN JAVA PROgramming Write a function that swaps the first pair (1st and 2nd characters) with the second pair (3rd and 4th characters) for every quadruplet substring. Examples swap Two ("ABCDEFGH") → "CDABGHEF" swapTwo ("AABBCCDDEEFF") → "BBAADDCCFFEE" swap Two ("munchkins") → "ncmuinhks" swap Two("FFGGHHI") → "GGFFHHI"

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a. A = {a^b²nck | k,n ≥ 1} b. B = {a²b³ck d²+j+k | i, j, k ≥ 0} c. C = {a,b}* − {wwh | w = {a,b}*} where wⓇ denotes the reverse of string w. -