Construct expansions in a two-individual universe of discourse for the following sentences: Predicate Logic Symbolization 1. (x)(Fx ⋅ Gx) 3. (x)[Fx (Gx ∨ Hx)] 5. (x) (Fx Gx) 7. (x)(Fx Gx) 9. (x)[Fx (Gx Hx)] 11. (∃x)[(Fx ⋅ Gx) ∨ (Hx ⋅ Kx)] 13. (∃x) [(Fx Gx) ∨ (Fx Hx)]
Construct expansions in a two-individual universe of discourse for the following sentences: Predicate Logic Symbolization 1. (x)(Fx ⋅ Gx) 3. (x)[Fx (Gx ∨ Hx)] 5. (x) (Fx Gx) 7. (x)(Fx Gx) 9. (x)[Fx (G...
Prove Valid: 1. (z)(Pz --> Qz) 2. (Ex) [(Oy • Py) --> (Qy • Ry)] 3. (x) (-Px v Ox) 4. (x) (Ox --> -Rx) ... :. (Ey) (-Py v -Oy) 1. (x) [(Fx v Hx) --> (Gx • Ax)] 2. -(x) (Ax • Gx) ..... :. (Ex) (-Hx v Ax) 1. (x) (Px --> [(Qx • Rx) v Sx)] 2. (y) [(Qy • Ry) --> - Py] 3. (x) (Tx --> -Sx) .... :. (y) (Py --> -Ty)
Which lines in the following are not valid? #1 please Put an 'x' at the end of the proof line which has the error and write the number of the error made listed on the Restrictions on Quantifier Inference Rules Which lines in the following are not valid? Explain why in each case (1) 1. (9[(Нх Кх) — Мх] 2. (ЭхХ Нх- Кх) 3. Нх- Кх 2 EI 4. Mx 1,3 MP 5. (Эх)Мх 4 EG 1. (х(Мx D Gx)...
I posted these question before but the answers turned out wrong, please help.(Monadic predicate logic) The ones required are = ( tilde ~ for negation, dot • for conjuction, horseshoe ⊃ for material implication( the conditional ), vel ∨ for disjunction, triple bar ≡ for biconditional ) Please use these symbols. translate the following English sentences into Predicate Logic: 1. All philosophers are scientists. (Px, Sx) 2. Some mathematicians are philosophers. (Mx, Px) 3. No chess players are video gamers....
Q / Construct the difference table from the following data: * 1 3 5 7 9 11 and then find f(6.2)? y 10 4 5 20 -7 13
Problem 1 [8pt] Prove that the following two Hoare triples are valid. (Hint: in predicate logic Pi equivalent to -P V P2) is a) (4pt) y:= x * 2; y:= y + 3; lu > o) b) (4pt) if (y>2) x := y-1; elsex5-y: fr > 1)
Let gx)- t) dt, where f is the function whose graph is shown (a) Evaluate gtx) for x - 0, 1, 2, 3, 4, 5, and 6 gt1)-1/2 0t2)-0 g(3) - -1/2 ot4)-0 9(5)-3/2 9(6)-4 (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) 9(7)- (c) Where does g have a maximum and a minimum value? minimumx maximum x (d) Sketch a rough graph of g. Let gx)- t) dt, where f is the function whose graph...
Do the following 3 things respectively with each of the two sentences given below 1. Translate it by using the defined predicate symbols and a quantifier 2. Transform it into an equivalent statement with a quantifier different from the one used in the lst translation (by applying QN); and 3. Articulate the corresponding sentence of the 2nd translation in ordinary English 5 15 Not all dogs bark. D: being a dog B: barking (SJ16] All philosophers are neither impractical nor...
Graph the function. X+1 17) f(x)=1-8 [-X+4 if -9<x<3 if x=3 fx>3 HHHHHHHHH> - 10 -5 5 10 X HiiHiHitta
The f function differentiable at (-1,4) and 7(3) = 5 also let Hx f'(x) > -1. Find the greatest value f(0).
Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4, 0.7/5, 0.4/6, 0.3/7, 0.2/8, 0.1/9 Answer the following questions: (I)Sketch the membership functions of A and B sets (ii Compute and sketch C=AOB & D=AUB; (iii) Is the following relation true/false? Please clarify ACB Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4,...