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Course Name: Theory of Automata
Note: plz don't copy solution from the internet.
Q.Show that the following pairs of regular expressions define the same
language over the alphabet I = {a, b}.
i) /\* and /\
(ii) (a*b)*a* and a*(ba*)*
(iii) (a*bbb)*a* and a*(bbba*)*
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- A palindrome is a string that reads the same forwards or backwards; for example dad, mom, deed are palindromes (i.e., reversing a palindrome produces the same string). Use C++ Programing language Write a recursive, boolean-valued function, isPalindrome that takes a string as a parameter and returns whether the string is a palindrome. A string, s, is a palindrome if: s is the empty string or s consists of a single letter (which reads the same back or forward), or the first and last characters of s are the same, and the rest of the string (i.e., the second through next-to-last characters) form a palindrome. Write a test program that reads a string from the standard input device and outputs whether the input string is a palindrome or not.For the following pairs of expressions, find a unifier for each pair if a unifier exists. If a unifierdoes not exist, explain why.(a) p(X,Y) and p(a,Z)(b) p(X,X) and p(a,b)(c) f(X,Y) and f(a,g(a))(d) q(X) and ¬q(a)Can you write a recursive c program that takes as an input a total of N integers and prints every subtotal that has a sum equal to zero (if exists). Also mention its complexity ex. input:N = {-10, -3, 1, 2, 4, 6) output: {-10, 4, 6}, {-10, -3, 1, 2, 4, 6}, {-3, 1, 2}
- Write a recursive function to generate nth fibonacci term in C programming. How to generate nth fibonacci term in C programming using recursion. Logic to find nth Fibonacci term using recursion in C programming. Fibonacci series is a series of numbers where the current number is the sum of previous two terms. For Example: 0, 1, 1, 2, 3, 5, 8, 13, 21, ... , (n-1th + n-2th) Example: Input: Input any number: 10 Output 10th Fibonacci term: 55 please use C languageBoolean Satisfaction Problem Boolean Satisfiability Problem (SAT) (https://en.wikipedia.org/wiki/Boolean_satisfiability_problem) is one of the most important problems in Computer Science. SAT is a problem that has NP-Complete complexity, where the only way to solve the problem is to try all the possibilities and check which one is correct. [LO 1, LO 2, LO 3 & LO 4,] Briefly describe how you used Backtracking to solve the Boolean Satisfiability Problem. Note that your solution must have exponential complexity. [LO 1, LO 2, LO 3 & LO 4,] Briefly explain how you use Strongly Connected Component (SCC) to solve the special case of the Boolean Satisfiability Problem, namely 2-SAT (https://en.wikipedia. org/wiki/2-SAT) . This solution has linear complexity. Solve the Subparts A&B thank u NOTE LO1: Explain fundamental concept of analysis arithms. LO2: Apply algorithm techniques and methods. LO3: Solve a problem using specific algorithm. LO4: Compare several algorithm design…Construct a TM that accepts the following languages.a. L12={a2nbn | n ≥1}b. L5 = {02^n | n ≥1 }. i.e., the occurrences of 0 is always powers of 2, means, every time, you can divide the resultant to 2, recursively.
- 3. Please Help me to solve the following all the subparts perfectly on word: PS: You just need to show the prove or disprove (for a) and show the prove or show if it is true (for b).In C program We want to emulate that, too! Using a recursive function, make it so that we print the number we are currently in on a new line. When we encounter a number n divisible by 5, we print "YEHEY" and jump 7 steps forward. However when we encounter a number divisible by 8, we print "OHNO" and go back 6 steps. If it is divisible by both, we print "LUCKY" and jump 11 steps. Otherwise just move 1 step. Start at n=1 and continue doing this until you reach a number greater than or equal to the number entered by the user. Instructions: In the code editor, you are provided with a main() function that must ask the user for a number and calls the snake_ladder() function. This snake_ladder() function is a recursive function which should perform the functionality explained in the problem description above. This function is declared but is initially empty. Input 1. Stopping number Description Input the number to which the recursive function must stop Constraints The input is a…In C program We want to emulate that, too! Using a recursive function, make it so that we print the number we are currently in on a new line. When we encounter a number n divisible by 5, we print "YEHEY" and jump 7 steps forward. However when we encounter a number divisible by 8, we print "OHNO" and go back 6 steps. If it is divisible by both, we print "LUCKY" and jump 11 steps. Otherwise just move 1 step. Start at n=1 and continue doing this until you reach a number greater than or equal to the number entered by the user. Instructions: In the code editor, you are provided with a main() function that must ask the user for a number and calls the snake_ladder() function.This snake_ladder() function is a recursive function which should perform the functionality explained in the problem description above.This function is declared but is initially empty.Input 1. Stopping number Description Input the number to which the recursive function must stop Constraints The input is a positive integer…
- The binomial coefficient C(N,k) can be defined recursively as follows: C(N,0) = 1, C(N,N) = 1, and for 0 < k < N, C(N,k) = C(N-1,k) + C(N - 1,k - 1). Write a function and give an analysis of the running time to compute the binomial coefficients as follows: A. The function is written using dynamic programming.(Practice) State whether the following are valid function names and if so, whether they’re mnemonic names that convey some idea of the function’s purpose. If they are invalid names, state why. powerdensity m1234 newamp 1234 abcd total tangent absval computed b34a 34ab volts$ a2B3 while minVal sine $sine cosine speed netdistance sum return stackWrite a FRACTION calculator program with c++ that adds, subtracts, multiplies, and divides fractions. Your program should check for the division by 0, have and use the following functions: (a) abs - returns the absolute value of a given integer. (b) min - returns the smallest of two positive integers. (c) gcd - returns the greatest common divisor of two positive integers. (d) reduce - reduces a given fraction. (e) flip - reduces a given fraction and flips the sign if the denominator is negative. (f) add - finds the reduced sum of a pair of given fractions. (g) subtract - finds the reduced difference of a pair of given fractions, by making the second fraction negative then using the add function. (h) multiply - finds the reduced product of a pair of given fractions. (i) divide - finds the reduced quotient of a pair of given fractions by inverting the second fraction then using the multiply function.
