3. In the domain of all movies, let D(x) be the predicate "x has a demon...
Simplify the following sentences in predicate logic so that all the negation symbols are directly in front of a predicate. (For example, Vx ((-0(x)) + (-E(x))) is simplified, because the negation symbols are direct in front of the predicates O and E. However, Væ -(P(2) V E(x)) is not simplified.) (i) -(3x (P(x) 1 (E(x) + S(x)))) (ii) -(Vx (E(x) V (P(x) +-(Sy G(x, y))))) Write a sentence in predicate logic (using the same predicates as above) which is true...
Suppose the domain of the following predicate logic propositions is {1, 2, 3}. Express the following statements without the use of quantifiers-only conjunctions and negations. a) b) Vx(( 3)P(x)) V P(x) Va, у(Р(2) —> (г. у))
Module Outcome #3: Translate prose with quantified statements to symbolic and find the negation of quantified statements. (CO #1) Module outcome #3: Translate prose with quantified statements to symbolic negation of quantified statements. (CO #1) (a.) Negate the statement and simplify so that no quantifier or connective lies within the scope of a negation: (Bx)(y)-P(x.y) AQ(x, y)) (b.) Consider the domain of people working at field site Huppaloo, Let M(xx): x has access to mailbox y. Translate into predicate logic...
2, M = 〈D, δ〉 is a model for a first-order language with a unary predicate P and a binary relation T. The domain of M is the set fa, b, c, dy; and the denotations of P and T are as follows: .8T) = {(a,b),(b,c),(c, d),(d,a)} Which of the following formulae are satisfied by this model: (a) 3x[T(x, x)] (c) Vr3y T(r, y) 2, M = 〈D, δ〉 is a model for a first-order language with a unary predicate...
Let P(X) be the predicate " is a dragon." Let Q(x) be the predicate "x breathes fire.” Let R(x,y) be the predicate "x and y are the same object.” Let S be an arbitrary nonempty set. Rewrite the following English statements in symbolic no- tation using predicates P, Q, R, universal and existential quanti- fiers, and any variables you want. i. There are no dragons in S. ii. Not everything in S is a dragon. iii. There is at least...
6. Consider the predicates M(x), F(x), and P(x, y) in a domain of people. The predicate M(x) states of a person that he is male, the predicate F(x) states of a person that she is female, the predicate P(z, y) states that x is the parent of y. Write the following queries in the Predicate Logic. (a) Find the people who are mothers (b) Find the people who do not have an uncle.
(2 points) Consider the following statement: Everyone likes playing games. For the following questions, Let X = {people} P(x) be the predicate x likes playing games. Write the statement in quantified form A. VX E X, P(x) OB. VX E X, ~ P(x) c. Ex E X: P(x) D. Ex e X :~ P(x) Negate the quantified statement A. 3x X: P(x) OB. Vx E X, P(x) C. IX e X :~ P(x) D. V e X, ~ P(x).
hi i need help with this derivation in logic and this is PD predicate Logic please show all work 019A) 3. Construct a derivation that shows the following: {(3x) (Fx Ga)} l- (x)FxD Ga. (20 points) 019A) 3. Construct a derivation that shows the following: {(3x) (Fx Ga)} l- (x)FxD Ga. (20 points)
Given Statement: Some popular bands are overrated. P = is popular Key of Predicate Symbols and Individual Constants: B = is a band 0 = is overrated Which expression is the best translation of the given statement above into predicate logic? (3x)(PxBx) (x)0x (3x)[(PxBx) • Ox] (3x)(PBX Ox) (x)[(Px > Bx) • Ox] Given Statement: Key of Predicate Symbols and Individual Constants: All citizens have a right to life, liberty, and the pursuit of happiness. C = is a citizen...
Let ????(?, ?, ?) be a predicate that represents the statement “? makes a fool of ? on day ?.” Thus, for example, ∃?: ∀?: ????(?, ???, ?) means that there is someone who fools Lem every day. Problem 4. (5 points) Using the definition above, determine if there a difference between the following statements. If so, explain the difference in one or two sentences. VxVy: Fool(Sam, x, y) vs. VyVx: Fool(Sam, x, y) b. 3x3y: Fool(Sam, x,y) vs. 3y3x:...