4.3 Let ALLDFA = {(A)| A is a DFA and L(A) = *}. Show that ALLDFA is decidable. GG is a C Show that Ace
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- link(a,b). link(a,c). link(b,c). link(b,d). link(c,d). link(d,e). link(d,f). link(e,f). link(f,g). Using the above Formulate the appropriate Prolog predicate "path(X,Y,N)" which is true if (and only if) there is a path of length "N" from node "X" to node "Y". For example, there is a path of lengthlink(a,b). link(a,c). link(b,c). link(b,d). link(c,d). link(d,e). link(d,f). link(e,f). link(f,g). Using The above Formulate the appropriate Prolog predicate "path(X,Y,N)" which is true if (and only if) there is a path of length "N" from node "X" to node "Y". For example, there is a path of length 2 from "a" to "d": "a->b->d", but also "a->c->d", and so "path(a,d,2)" gives "true" (two times). There is also a path of length 3 from "a" to "d": "a->b->c->d". Test this predicate out on the above network to verify whether or not it is working correctly. Once this is working correctly, note now, that e.g., "path(a,e,N)." will give multiple answers:Write a java code with OpenCV that filter out only those frames of video that contains humans.
- In attached image, there are 5 states, a, b, c, d, e. Two actions are available for each state: East, West except for the exit states a and e, where the only action available is “Exit”. The transition is deterministic. The rewards of the exit states are given as shown in Image. A) For γ= 1, what is the true utility ? (Please fill the form completely) Example response format: 10 10 10 10 10 (Please note the space!) B) For γ = 0.1, what is the true utility? Example response format: 10 0.1 10 10 0.1 (Please pay attention to the space!) C) For which γ are West and East equally good at state d? (please take to the fourth decimal place)Example response format: γ = 0.1234 (take to the fourth decimal place, please pay attention to the space!)Given below are two statements: S1: If a Graph G is n colorable then it's also n+1 colorable. S2: Every Bipartite graph is 2 colorable Which of the above statement(s) is/are correct?Consider the (directed) network in the attached document We could represent this network with the following Prolog statements: link(a,b). link(a,c). link(b,c). link(b,d). link(c,d). link(d,e). link(d,f). link(e,f). link(f,g). Now, given this network, we say that there is a "connection" from a node "X" to a node "y" if we can get from "X" to "Y" via a series of links, for example, in this network, there is a connection from "a" to "d", and a connection from "c" to "f", etc.
- Consider a North American traffic light. The light (Traffic Light #1) is red by default, and only turns green when a car is present at the red light, as sensed by the car presence sensor, and the light stays green as long as there is a car sensed. If a walker presses a button to request to cross the street, or if there are no cars present, the light turns yellow, and then red on the next clock trigger. The walk button has priority over the presence of a car, and the light will stay red when a walker presses the walk button. a. Draw the state machine diagram. The color of the light is the output of the system. b. Find Boolean expressions for the flip flop input equations and output equations(9) Suppose that we are given f : A → B and subsets X ⊂ A respectively Y ⊂ B so that we can define the direct image f(X) ⊂ B and the inverse image f^−1(Y ) ⊂ A. So that if X ⊂ A, then f(X) is a set and if Y ⊂ B, then f^−1(Y) is a set; you are proving things about these definitions. (a) Prove that f^−1(X ∪ Y ) = f^−1(X) ∪ f^−1(Y ). (b) Prove that if f is surjective then Y ⊂ f(f^−1(Y )).Computer Science Please finish the template that i provide. #includeclass Nurikabe{public:/*n is the size of the Nurikabe, n >= 5, n <= 20game is the result from some playerhere is one examplen: 5game = { {'W', 'W', 'W', '1', 'W'},{'W', '.', 'W', 'W', 'W'},{'W', '2', 'W', '.', '3'},{'3', 'W', 'W', '.', 'W'},{'.', '.', 'W', 'W', 'W'} };W represent wall*/Nurikabe(char game[20][20], int n){}/*return 1 if result fit the rule.return 0 if result not fit the rule.*/int isCorrect(){}private://請設計你自己的資料結構來儲存遊戲的結果//Please design your own data structure to keet the result};int main() {int n, j, l, k;char game[20][20] = { {'W', 'W', 'W', '1', 'W'},{'W', '.', 'W', 'W', 'W'},{'W', '2', 'W', '.', '3'},{'3', 'W', 'W', '.', 'W'},{'.', '.', 'W', 'W', 'W'} };std::cin>>n;for(j = 0;j < n;j ++)for(k = 0;k < n;k ++)std::cin>>game[j][k];Nurikabe *a = new Nurikabe(game, n);std::cout<iscorrect();return 0;}
- f : {1, 2, 3} ® {a, b, c, d} f(1) = c f(2) = b f(3) = a g : {a, b, c, d} ® {x, y, z} g(a) = y g(b) = x g(c) = x g(d) = z Find the composition gofSuppose that class B is derived from class A. Then we can say: B "is a " A A "is a " B Not enough information to answerQ3) Let Σ = {a , b}. Find DFA's for: d) L = { wab: w€ {a,b}*}e) L = { abwab: w€ {a,b}*}f) L = { ab5wb4 : w € {a,b}* }