R [A, B, C, D, E, F, G, H, I, J] {A} → {B, C, D, E, F, G, H, I, J} {B, C} → {D, E, F, G, H, I} {E, F} → {G, H} {I} → {J}
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BCNF Decomposition
![R [A, B, C, D, E, F, G, H, I, J]
{A} → {B, C, D, E, F, G, H, I, J}
{B, C} → {D, E, F, G, H, I}
{E, F} → {G, H}
{I} → {J}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fded422b1-608c-4993-86fe-8ad62f78ef78%2F88d0a4c9-84fa-43d6-b29e-8ddefb4e33ae%2Fn3jr6tr_processed.png&w=3840&q=75)
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- In C Every budding computer scientist must grapple with certain classic problems, and the Towers of Hanoi (see Figure below) is one of the most famous of these. Legend has it that in a temple in the Far East, priests are attempting to move a stack of disks fromone peg to another. The initial stack had 64 disks threaded onto one peg and arranged from bottom to top by decreasing size. The priests are attempting to move the stack from this peg to a second peg under the constraints that exactly one disk is moved ata time, and at no time may a larger disk be placed above a smaller disk. A third peg is available for temporarily holding the disks. Supposedly the world will end when the priests complete their task, so there is little incentive for us to facilitate their efforts.Let’sassume that the priests are attempting to move the disks from peg 1 to peg 3. We wish to develop an algorithm that will print the precise sequence of disk-to-disk peg transfers. If we were to approach this…2. Given the following statement: 6 * (8-3)Please make the Annotated Parse Tree based on the translation scheme below.S → B {A.i = B.val} A {S.val = A.s}A → - B {A1.i = A.i - B.val} A1 {A.s = A1.s}A → ɛ {A.s = A.i}B → D {C.i = D.val} C {B.val = C.s}C → * D {C1.i = C.i * D.val} C1 {C.s = C1.s}C → ɛ {C.s = C.i}D → ( S ) {D.val = S.val}D → num {D.val = num.val}Computer Science 1. Let Σ = {0, 1} be an alphabet.(a) Let w = 101 be a word over Σ. Compute |w|, the length of w.(b) List all of the words in Σ32. Let {a, b, c} be an alphabet. List all of the words in Σ23. Let Σ = {a, b} be an alphabet and let · denote concatenation. Compute (ba · ε) · abb,where ε is the empty word.4. Let Σ = {0, 1} be an alphabet and let L ⊆ {0, 1} ∗ be the language defined as L = {w ∈ {0, 1} ∗ |w = x10y, x, y ∈ {0, 1}∗}. (a) Determine whether 01 ∈ L.(b) Determine whether 0101 ∈ L. 5. Let Σ = {0, 1} be an alphabet and let L ⊆ Σ ∗ be the language consisting of all wordsover Σ that contain the substring 10. Construct a DFA that accepts L. Thank you in advance
- C PROGRAMMING Implement dijkstras alorithm Check that the Graph graph, and starting node, id, are valid• Create the set S containing all the networks (vertices) except the source node (you might wantto use an array for this.• Create an array to represent the table D and initialise it with the weights of the edges from thesource node, or infinity if no edge exists. You should use the constant DBL_MAX to representinfinity.• Create an array to represent the table R and initialise it with the next hops if an edge existsfrom the source, or 0 otherwise.• Then repeatedly follow the remaining rules of Dijkstra’s algorithm, updating the values in D andR until S is empty.• Each of the values required to complete the above can be found by calling the variousfunctions (get_vertices(), get_edge(), edge_destination(), edge_weight(), etc.)in the supplied graph library.• Once Dijkstra’s algorithm has run, you will need to create the routing table to be returned byallocating enough memory for the…In C programming Every budding computer scientist must grapple with certain classic problems, and the Towers of Hanoi (see Figure below) is one of the most famous of these. Legend has it that in a temple in the Far East, priests are attempting to move a stack of disks fromone peg to another. The initial stack had 64 disks threaded onto one peg and arranged from bottom to top by decreasing size. The priests are attempting to move the stack from this peg to a second peg under the constraints that exactly one disk is moved ata time, and at no time may a larger disk be placed above a smaller disk. A third peg is available for temporarily holding the disks. Supposedly the world will end when the priests complete their task, so there is little incentive for us to facilitate their efforts.Let’sassume that the priests are attempting to move the disks from peg 1 to peg 3. We wish to develop an algorithm that will print the precise sequence of disk-to-disk peg transfers. If we were to approach…Due to the benefits that circular arrays provide to queues, the issue arises as to whether or not a circularly linked list would reap the same benefits from the same considerations in C++ data structures. Where is the value in that?
- Identify the type of automaton and obtain the regular expression corresponding to the following finite automaton The regular expression has to be validate with regex page like https://regexr.com/ or https://regex101.com/ Write the procedure of the conversion of the automaton to regular expression:Automata: Please solve both parts correctly and brieflyComputer Science 5. Consider a language L over the binary alphabet. For any two binary strings x, y we say x, y are distinguishable by L if there exists a string w ∈ L such that exactly one of the strings xw, yw is in L. x, y are indistinguishable by L otherwise (denoted by idL. Prove that idL is an equivalence relation.
- Computer Science Suppose L ⊆{a, b}∗ is defined as follows: Λ∈L; for every x and y in L, the strings axb, bxa, and x yare in L. Show that L =AEqB , the language of all strings x in {a, b}∗ satisfying n_a (x) =n_b (x).Let L = {b, aab} and M = {a, b, aa, ab} be languages over the alphabet Σ = {a, b}.Compute the following languages.(a) L ∪ M(b) LM(c) L*L = {w ∈ {a, b}* | at least one prefix of w contains strictly more b’s than a’s.}.For example, baa, abb, abbbaa are in L, but aab, aabbab are not in L. a) Construct a PDA that accepts L by final state.b) Construct a PDA that accepts L by empty stack.