Expand in two object universe (the objects are named ‘a’ and ‘b’)
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- For (∃ x)(P(x,b)) Would an example of this being true if the domain was all the Avengers and x was green skin, then "b" being the Hulk would make this true. Am example of this being false would be: If the domain was all integers and x was positive, even integers and "b" was integers greater than zero.Let A={3,5,7,9}, B={2,3,5,6,7}, and C={2,4,6,8} be all subjects of the universe U={2,3,4,5,6,7,8,9}. Find (a) The union of A and B; (b) The intersection of B and C; (с) АӨВ; (d) В Х С (e) A \ B (f) P(A) (g) The complement C° of the set C; (H) The complement of U.Reduce the following lambda-calculus terms to the normal form. Show all intermediate steps, with one beta reduction at a time. In the reduction, if necessary, assume that you are supplied with extra rules that allow you to reduce the addition of two natural numbers into the corresponding result. (λz. z) (λy. y y) (λx. x a)
- Correct answer will be upvoted else downvoted. Computer science. Michael is blamed for disregarding the social separating rules and making a danger of spreading Covid. He is currently shipped off jail. Fortunately, Michael knows precisely what the jail resembles from within, particularly since it's actual straightforward. The jail can be addressed as a square shape a×b which is partitioned into abdominal muscle cells, each addressing a jail cell, normal sides being the dividers among cells, and sides on the edge being the dividers prompting opportunity. Prior to condemning, Michael can ask his companions among the jail representatives to make (all around stowed away) openings in a portion of the dividers (counting dividers among cells and the furthest dividers). Michael needs to have the option to escape the jail after this, regardless of which cell he is set in. Nonetheless, he likewise needs to break as couple of dividers as could be expected. Your assignment is to discover…What is the Truth value of the Expression ∀ (x)P(x) in each of the following interpretation? P(x) is the property that X is yellow, and the domain of interpretation is the collection of all buttercups. P(x) is the property that x is yellow, and the domain of interpretation is the collection of all flowers. P(x) is the property that x is plant, and the domain of interpretation is the collection of all flowers. P(x) is the property that x is either positive or negative , and the domain of interpretationLet U = {q, r, s, t, u, v, w, x, y, z}, find the computer representation for these sets; a) C= {w, q, z, s, r} computer representation for fc. b) D= {x, x, q, v, y, q, x} computer representation for fo. c) E = {z, r, z, r, t, z, w} computer representation for fe.
- 5. Let S = {a,b,c,d}, T = {a, c, e, f}, R = {c, f}. Find the following sets.... (a) SUT (b) SnT (c) SU (TNR) (d) T-R (e) Sketch a Venn diagram showing how S, T, and R relate to each other. (f) Let f: R→ R be given by f (x) = 3x - 2. Prove that f (x) is one-to-one and onto.6. Give the truth value of each of the following wffs in the interpretation where the domain consists of people, M(x, y) is "x is the mother of y", F(x) is "x is female", M(x) is "x is male." a. (Vx)(y)M(y,x) b. (x)(y)(M(y,x) → M(y)) 7. Which of the following sentences are equivalent to the statement Cats are smarter than dogs. a. Some cats are smarter than some dogs. b. There is a cat that is smarter than all dogs. c. All cats are smarter than all dogs. d. Only cats are smarter than dogs. e. All cats are smarter than any dog. 8. Using the predicate symbols shown and appropriate quantifiers, write each English language statement as a predicate wff. (The domain is the whole world.) B(x): x is a ball R(x): x is round S(x): x is a soccer ball All soccer balls are round. a. b. Some balls are round but soccer balls are not.Correct answer will be upvoted else downvoted. Computer science. Michael is blamed for disregarding the social removing rules and making a danger of spreading Covid. He is currently shipped off jail. Fortunately, Michael knows precisely what the jail resembles from within, particularly since it's actual straightforward. The jail can be addressed as a square shape a×b which is separated into stomach muscle cells, each addressing a jail cell, normal sides being the dividers among cells, and sides on the border being the dividers prompting opportunity. Prior to condemning, Michael can ask his companions among the jail representatives to make (all around stowed away) openings in a portion of the dividers (counting dividers among cells and the furthest dividers). Michael needs to have the option to escape the jail after this, regardless of which cell he is set in. Be that as it may, he likewise needs to break as couple of dividers as could be expected. Your assignment is to…
- Simplify the following assertions (so that ¬ does not appear). a) ¬((∃a ∈ A,((∀b ∈ B, a × b = 2) ⇒ (∃b ∈ B, a + b ≠ 3))) & (∀a ∈ A, ∃b ∈ B, ((a+b = 5)∨(a−b = 5)))) b) ¬((∃a ∈ A, ∀b ∈ B, ((a + b = 3) ∨ (a - b = 3))) & (∀a ∈ A, ((∃b ∈ B, a × b = 7) ⇒ (∀b ∈ B, a + b ≠ 4)))) c) ¬((∃a ∈ A, ∀b ∈ B, ((a + b = 2) & (a - b = 2))) ∨ (∀a ∈ A, ((∃b ∈ B, a + b = 7) ⇒ (∀b ∈ B, a + b = 5)))) d) ¬((∀a ∈ A,((∃b ∈ B, a - b = 4) ∨ (∀b ∈ B, a + b ≠ 2))) & (∃a ∈ A, ∀b ∈ B, ((a+b = 5)∨(a−b = 5))))1. Prove or refute: (∀x, y, z, w)(B(x, y, z) ∧B(w, y, z) →B(x, w, y)).2. Prove or refute: (∀x, y, z, w)(B(x, y, z) ∧B(x, w, y) →B(w, y, z)).Correct answer will be upvoted else downvoted. Computer science. in case there are two planes and a molecule is shot with rot age 3 (towards the right), the cycle is as per the following: (here, D(x) alludes to a solitary molecule with rot age x) the primary plane delivers a D(2) to the left and lets D(3) progress forward to the right; the subsequent plane delivers a D(2) to the left and lets D(3) progress forward to the right; the primary plane lets D(2) forge ahead to the left and creates a D(1) to the right; the subsequent plane lets D(1) progress forward to one side (D(1) can't create any duplicates). Altogether, the last multiset S of particles is {D(3),D(2),D(2),D(1)}. (See notes for visual clarification of this experiment.) Gaurang can't adapt up to the intricacy of the present circumstance when the number of planes is excessively huge. Help Gaurang find the size of the multiset S, given n and k. Since the size of the multiset can be extremely huge, you…