6. Write the parse trees for the following CTL formulas: (a) A[p U A[qU r]] (b) E[A[p U q] U r] (c) AG(p → A[p U (¬p^ A[ ¬p U q])]).
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- Computer Science Exercise: shape [★★★] Write a function same_shape : 'a tree -> 'b tree -> bool that determines whether two trees have the same shape, regardless of whether the values they carry at each node are the same. Hint: use a pattern match with three branches, where the expression being matched is a pair of trees. please use Ocaml for the codingAssume a generic recursive relation is defined as :A[i] = p*A[i-1] + qwhere p and q are coefficients of the relation. Write a function that takes the first three numbers in this relation as a list,such as [A[0], A[1], A[2]]and computes p and q, and returns A[3]. For example, given [1,3,5] your function should return 7, because the numbers 1,3,5 are produced by the series:A[i] = A[i-1] + 2where p is 1 and q is 2, and then the next number in the series becomes 7. You can assume that p and q are always integers. You can also assume that p and q are determinable in any test case.Assume a generic recursive relation is defined as :A[i] = p*A[i-1] + qwhere p and q are coefficients of the relation. Write a function that takes the first three numbers in this relation as a list,such as [A[0], A[1], A[2]]and computes p and q, and returns A[3]. For example, given [1,3,5] your function should return 7, because the numbers 1,3,5 are produced by the series:A[i] = A[i-1] + 2where p is 1 and q is 2, and then the next number in the series becomes 7. You can assume that p and q are always integers. You can also assume that p and q are determinable in any test case.""" def recursionSolver(values):return # Remove this line to answer this question. İn python.
- Assume a generic recursive relation is defined as : A[i] = p*A[i-1] + q where p and q are coefficients of the relation. Write a function that takes the first three numbers in this relation as a list, such as [A[0], A[1], A[2]] and computes p and q, and returns A[3]. For example, given [1,3,5] your function should return 7, because the numbers 1,3,5 are produced by the series: %3D A[i] = A[i-1] + 2 where p is 1 and q is 2, and then the next number in the series becomes 7. You can assume that p and q are always integers. You can also assume that p and q are determinable in any test case. %3D def recursionSolver(values): return # Remove this line to answer this question.Answer the following questions using python and without using any of its libraries or OOP . a) Using the helper function insert (bst, key), create the binary search tree that results from inserting the following keys in the order given: 68, 88, 61, 89, 94, 50, 4, 76, 66, and 82. b) Using the helper function exist (bst, key), check whether key 50 exists in resultant Binary Search Tree. c) Using the helper function exist (bst, key), check whether key 49 exists in resultant Binary Search Tree. d) Using the helper function minimum (bst, starting_node), find the node with the minimum value in resultant Binary Search Tree from starting node = 68. e) Using the helper function minimum (bst, starting_node), find the node with the minimum value in resultant Binary Search Tree from starting node = 88. f) Using the helper function maximum (bst, starting_node), find the node with the maximum value in resultant Binary Search Tree from starting node = 68. g) Using the helper function maximum (bst,…Define the function (doubleBubbleLst lst). This function should resolve to a list of sublists, where each sublist holds a single element from lst and all sublists from lst are also bubbled, so that every list and sublist has no atoms. This is the deep recursion version of bubbleLst. For example: (doubleBubbleLst '(1 2 (3 4)) ) resolves to '((1) (2) (( (3) (4) ))).
- Assume a generic recursive relation is defined as : A[i] = p*A[i-1] + q where p and q are coefficients of the relation. Write a function that takes the first three numbers in this relation as a list, such as [A[0], A[1], A[2]] and computes p and q, and returns A[3]. For example, given [1,3,5] your function should return 7, because the numbers 1,3,5 are produced by the series: A[i] = A[i-1] + 2 where p is 1 and q is 2, and then the next number in the series becomes 7. You can assume that p and q are always integers. You can also assume that p and q are determinable in any test case. PhytonQuestion 4: Assume a generic recursive relation is defined as : A[i] = p*A[i-1] + q where p and q are coefficients of the relation. Write a function that takes the first three numbers in this relation as a list, such as [A[0], A[1], A[2]] and computes p and q, and returns A[3]. For example, given [1,3,5] your function should return 7, because the numbers 1,3,5 are produced by the series: A[i] = A[i-1] + 2 where p is 1 and q is 2, and then the next number in the series becomes 7. You can assume that p and q are always integers. You can also assume that p and q are determinable in any test case. def recursionSolver(values):∑ = {C,A,G,T}, L = { w : w = CAjGnTmC, m = j + n }. For example, CAGTTC ∈ 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.
- Can you answer with the Python software language Assume a generic recursive relation is defined as : A[i] = p*A[i-1] + q where p and q are coefficients of the relation. Write a function that takes the first three numbers in this relation as a list, such as [A[0], A[1], A[2]] and computes p and q, and returns A[3]. For example, given [1,3,5] your function should return 7, because the numbers 1,3,5 are produced by the series: A[i] = A[i-1] + 2 where p is 1 and q is 2, and then the next number in the series becomes 7. You can assume that p and q are always integers. You can also assume that p and q are determinable in any test case.write a java code: Consider the following expression BNF: ::= * | / | :== + | - | ::= { }| :: 0|1|2|3|4|5|6|7|8|9 Using recursive descent, and only recursive descent, scan expressions that adhere to this BNF to build their expression tree; write an integer valued function that scans the tree to evaluate the expression represented by the tree. Input: A numeric expression adhering to this BNF. Output: Some representation of the expression tree. The result of evaluating the expression. write a java code for it.c) An expression of A + B^3 – C/D is obtained using a rooted tree. i. Draw a rooted tree with the height of 2 to represent the postorder traversal. ii. Justify whether the rooted tree in 3-c(i) is balanced or not. iii. From tree in c(i), get the mathematical expression using the inorder traversal. d) Figure 3 represents a network of paths in a park. The number on each edge represents the length of the path in meters. The cost per meter is RM120. To gain as much profit, the contractor asked one of his staff to find the minimum network needed using Kruskal's algorithm. G 21 16 17 21 F 11 23 E 11 7 15 18 В 11 20 A Figure 3 i. Explain why the staff's work which is highlighted in red is incorrect. ii. Help the staff to find the correct minimum network using Kruskal's algorithm and states its length and total cost. iii. Is there any possibiliy, more than one distint MST obtained for the Figure 3?. If yes, justify your answer and show the network.