ment is correct with respect to the initial assertion T and the final assertion (x ≤ y /\ min = x) \/ (x > y /\ min = y).
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- Verify that the program segmentif x > y theny :=xis correct with respect to the initial assertion T and the final assertion y ::: x .either prove that the wff is a valid argument or give an interpretation in which it is false. (∀x)(∀y)[(P(x) ^ S(x, y)) → Q( y)] ^ (∃x)B(x) ^ (∀x)(B(x) → P(x)) ^ (∀x)(∃y)S(x, y) → (∃ x)Q(x)Construct a truth table for the statements belowa. (p ∧ q) ∧ (~r ∨ q).b. ~[~p ∧ (q ∧ r)]c. [p ∧ (q ∨ ~p)] → ~p then find the truth value of the statement givena. p is a false statement, q is a true statement and r is a true statement.b. p is a false statement, q is a false statement and r is a false statement.c. p is a false statement, q is a false statement and r is a true statement.
- Evaluate the following infix expression using algorithm and choose the correct answer. a+b*c-d/e^f where a=1, b=2, c=3, d=4, e=2, f=2. i) 6 ii) 8 iii) 9 iv) 7Exercise 1.3.4: Truth tables for logical expressions with conditional operations. info About Give a truth table for each expression. (a) (¬p ∧ q) → p (b) (p → q) → (q → p) (c) (p ∨ q) ↔ (q → ¬p) (d) (p ↔ q) ⊕ (p ↔ ¬q) (e) (p ∨ q) ↔ (q ∧ p)int x = 0;y=1;z=2;co x = x + 3; || <await x > 0; x = x + 1;>|| y = 3 * z + 1;oc List all possible program traces and give the final value for each trace. Comment each solution!
- in computer programming If x = 4, y = 6 and z = 2, then x == 4 is... true or false?Using these values: m = 12, n = 24, p = 6, q = 3, r = 2, s = 4, and t = 1,, show whether the following Boolean expressions evaluate to ‘true’ or ‘false’: if (m > p) and (q > s) and (r > t) then print true else print false if (m > n*p) or (q*r < p) or (p > s+t) then print true else print false if (m/p = r) and (p-q = r) or (p+q = 2*s) then print true else print falseGiven int x = 3; int y = 7; double z = 2.5; and double w = 0.5; evaluate the C++ expressions if possible (i.e., show the actual number you have computed). If it is not possible, state the reason.a) (x + y) % yb) x % y + wc) x % (y + z)d) (y + z) / w
- Construct a truth table to decide if the two statements are equivalent. ~p ∧ ~q; ~(p ∨ q) TRUE FALSEThis program computes quotients and remainders Verify that it is partially correct with respect to the intial assertion "a and d are positive integers" and the final assertion "q and r are integers such that a = dq + r and 0 ≤ r < d". r = a;q = 0; while (r ≥ d){r = r - d;q = q + 1;}Construct a formal proof of validity for the given argument below using the indicated method 1. (A ∧ B) → (∼ C → D) B∧ ∼ C ∴ A → D (use conditional proof of validity)