In this exercise use the transformation rules given in the updated Lecture 4 slides, slides 61 to 70 to verify that the following are formulas of quantified relational logic. (a) Ba (b) -Bb (c) Ex-Bx ( 1

Q: Draw a logic diagram that implements the Boolean expression of ((x+y)'+y’)’.

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Q: Construct a Boolean expression having the given table as its truth table. PQRS 1 1 1 0 1 0 1 1 10 10…

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Q: Write the following set by listing its elements explicitly between curly braces: {x|x€z and…

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Q: Statement: Vq E Z, 3r EZ, r < q a. Write the statement in words without any symbols for quantifiers:…

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Q: In regular language, describe the following set: ?={x∣x=2n+1,n ∈ N}   2.  Convert the following…

A: We have to describe the set builder set in regular language in question (1) And  We need to write…

Q: Let D be the set of all students s at your school, and let the following predicates C(s): "s is a…

A: Step 1: explanation for question  Given that:All students set represented as D .Math major students…

Q: Use the laws of logical equivalence to show that the forms of the statement (pnq) →r and (~p vnq) vr…

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Q: C(s): "s is a computer science student" E(s): "s is an engineering student" Using quantifiers,…

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Q: (iii) ((A – B)UC – D) specified using set builder notation without any word -

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Q: Use propositional logic to prove that the following argument is valid.

A: Given, The argument is A→B∧[B→(C→D)]∧[A→(B→C)] →(A→D)   We have to prove that the given argument is…

Q: We define the following predicates: L(x, y) = x likes y F(x, y) = x is friends with y where the…

A: (a) Including themselves :              ∃x ∀y L(y, x)       Excluding themselves :             ∃x ∀y…

Q: Using the properties on your formula sheet, simplify the following Boolean expression. For EACH…

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Q: (c) ¬Ər (¬P(z) V (Q(x) A ¬R(z})) Vz (P(z) A (-Q(z) V R(2)))

A: De Morgan's laws for quantifiers:

Q: Let U (universe of discourse) be the set of all people. P(x,y): x and y are each other's classmates…

A: Let U (universe of discourse) be the set of all people. Denote: P(x, y): x and y are each other's…

Q: 4. Write each of the following statements as an English sentence that does not use the symbols for…

A: We have to write the part b.) as an English sentence that doesn't use the symbols.

Q: Let R(a, b, c), S(a, b, c), and T(a, b, c) be three relations. Write one or more Datalog rules that…

A: Given (R∪S)-T The solution for (R∪S) is as follows ∪(a,b,c)←R(a,b,c) OR S(a,b,c)--------(i) The…

Q: There is a positive integer that is divisible by every prime number. Symbolize the above statement…

A: The statement is, "There is a positive integer that is divisible by every prime number". Positive…

Q: Write an element from the set B × A × C

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Q: QUESTION 14 Calculate using the formula. (Use calculator to check work). Find C(10, 4) (SUBMIT…

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Q: For "x is in A intersect B" give an equivalent statement that uses "x is in A"  and "x is in B".…

A: We the following operators,  ∈ - "is in"&amp; - "and"

Q: d) There is no dog that can talk. e) There is no one in this class who knows French and Russian.

A: (d) Let us define the following predicates           Dog(x) : x is a dog        Talk(x) : x can talk…