Question

In: Advanced Math

1. ¬B∨(G↔J), H→(B&C) ∴(H&J)→G 2. A∨B, C↔¬(B∨D) ∴C→A 3. (A&B) ↔ (F→G), (A&F) & B∴(G→R)→R 4....

1. ¬B∨(G↔J), H→(B&C) ∴(H&J)→G

2. A∨B, C↔¬(B∨D) ∴C→A

3. (A&B) ↔ (F→G), (A&F) & B∴(G→R)→R

4. T→¬B, T→¬D ∴ T→¬(B∨D)

5. ¬(M∨¬S), S→(R→M) ∴A → (¬R∨T)

6. (F&G) → I, (I∨J) → K ∴F→(G→K)

7. ¬U, O→G, ¬(O∨G) →U ∴G

Prove that the arguments are valid by constructing a dedication using the rules MP, MT, DN, Conj, Simp, CS, Disj, DS, DM, CP, HS, BE, and DL. Use CP if needed.

Solutions

Expert Solution


Related Solutions

Consider the relation R= {A, B, C, D, E, F, G, H} and the set of...
Consider the relation R= {A, B, C, D, E, F, G, H} and the set of functional dependencies: FD= {{B}—> {A}, {G}—> {D, H}, {C, H}—> {E}, {B, D}—> {F}, {D}—>{C}, {C}—> {G}} 1) Draw FD using the diagrammatic notation. 2) What are all candidate keys for R? 3) If delete {C}—>{G} and change {C, H}—> {E} to {C, H}—> {E, G}, what are all candidate keys for R
(a) (f ∘ g)(3) (b) g(f(2)) (c) g(f(5)) (d) (f ∘ g)(−3) (e) (g ∘ f)(−1) (f) f(g(−1))
(a)    (f ∘ g)(3) (b)    g(f(2)) (c)    g(f(5)) (d)    (f ∘ g)(−3) (e)    (g ∘ f)(−1) (f)    f(g(−1))  
Let G = Z4 × Z4, H = ⟨([2]4, [3]4)⟩. (a) Find a,b,c,d∈G so that G...
Let G = Z4 × Z4, H = ⟨([2]4, [3]4)⟩. (a) Find a,b,c,d∈G so that G is the disjoint union of the 4 cosets a+H,b+ H, c + H, d + H. List the elements of each coset. (b) Is G/H cyclic?
Consider the following bivariate data. Point A B C D E F G H I J...
Consider the following bivariate data. Point A B C D E F G H I J x 0 1 1 2 3 4 5 6 6 7 y 5 5 6 5 4 3 2 0 1 1 (a) Construct a scatter diagram of the given bivariate data. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Calculate the covariance. (Give your answer correct to two decimal places.) (c) Calculate sx and sy. (Give...
Consider the following demand curve: A B C D E F G H I J P...
Consider the following demand curve: A B C D E F G H I J P $0.50 $0.45 $0.40 $0.35 $0.30 $0.25 $0.20 $0.15 $0.10 $0.05 QD 1 2 4 6 9 12 16 20 25 30 Calculate elasticities for pairs of points to check statements that were made during class and in the text. When making the calculations, use average price and average quantity for the two points. The formula for this should be in your notes. It is...
In an article in the Journal of Retailing, J. G. Blodgett, D. H. Granbois, and R....
In an article in the Journal of Retailing, J. G. Blodgett, D. H. Granbois, and R. G. Walters investigated negative word-of-mouth consumer behavior. In a random sample of 201 consumers, 150 reported that they engaged in negative word-of-mouth behavior (for instance, they vowed never to patronize a retailer again). In addition, the 150 respondents who engaged in such behavior, on average, told 4.88 people about their dissatisfying experience (with a standard deviation equal to 6.11). (a) Use these sample results...
Consider the reaction, 2 D(g) + 3 E(g) + F(g) => 2 G(g) + H(g) When...
Consider the reaction, 2 D(g) + 3 E(g) + F(g) => 2 G(g) + H(g) When H is increasing at 0.85 mol/Ls, how quickly is F decreasing?
Please fill in the blanks (values of A, B, C, D, E, F, G, H, I...
Please fill in the blanks (values of A, B, C, D, E, F, G, H, I , J) for the following financial statements. The firm’s tax rate is 35.3%. Income Statement for Fiscal Year 2015 Sales 2,000 Cost of goods sold 1,500 Gross margin 500 Selling and general expenses 300 Operating income 200 Interest income 5 205 Interest expense 21 Restructuring charges 14 Income before tax 170 Income tax 60 Net income J Balance Sheet, Year 2014 and Year 2015...
Atomicity of phosphorus is (a) 1 (b) 2 (c) 3 (d) 4
Atomicity of phosphorus is ________.(a) 1(b) 2(c) 3(d) 4
Prove that the set R ={ a+ b√2+c√3+d√6 , a,b,c,d belongs to Q } is a...
Prove that the set R ={ a+ b√2+c√3+d√6 , a,b,c,d belongs to Q } is a field
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT