Let K(x, y) be the statement "x knows y", where the universe of discourse for both x and y is the set of all people. (Assume it is possible for x to know y while y does not know x, and hence K(x, y) and K(y,x) are different statements.) Translate the sentence "there are two distinct persons who know each other, and no one else" into First Order Logic.

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Q: give an four examples of semantics for following sentence [ x + y = 8 ] Note: give an two examples…

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Q: De Morgan's law, which choice is logically equivalent to allowing predicate statement:

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Q: 2. For each of the following statements, push all negations (→) as far as possible so that no…

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A: Given Expression : Given expression : (A -> (B -> C)) ^ (A V D') ^ B -> (D -> C)

Q: Formalize the following sentence in english. Let P(x,y) be the statement "x speaks language y" Vx.…

A:

Q: 1. Let A, B and C be arbitrary logical statements. Consider the following logical statement. I = (A…

A:

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A: The solution for the above-given question is given below:

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Q: Translate the following First Order Logic in English sentence as attached

A: Translation:- Ali helps all X except Ahmed

Q: b.  ¬p ∧ q ∧ (q → (p ∨ r)) ⇒ r   c.  p → (q ∨ r)) ∧ ¬q ⋀ ¬r ⇒ ¬p  solve useing Laws of logic

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Q: Prove the predicate logic statement is valid: (∀ x)(P(x)) ∧ (∀ x)(Q(x)) → P(a) ∧ Q(b)

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Q: Formalize the following sentence in english: Let P(x,y) be the statement “x speaks language y" 3x.…

A: Here is the answer:-

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Q: Construct proof for the following argument within the system of sentential logic: 1. (A & B) ⊃ (C V…

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A: The correct solution for the above mentioned question is given in the next steps for your reference

Q: 5. A set of formulas Mo is an axiom system for a set of formulas M if {A A is a model for Mo} = {A |…

A: Answer is explained below in detail

Q: Consider the following predicates defined on N + . E(n) denotes “n is even”, and P (n) denotes “n is…

A: i. ∃n (P (n) ∧ E(n))   Here n is used with existential quantifier. It means the statement holds true…