Let the domain be the set of all employees of a certain company and Joshua is an employee of that company. Define the following predicates: • P(x) : x was sick yesterday. • W(x) : x went to work yesterday. Q(x) : x was on vacation yesterday. Translate each of the following English statements into a logical expression. 1. Everyone who was well went to work yesterday. 2. Someone who was sick yesterday did not go to work yesterday. 3. Someone who missed work was neither sick nor on vacation. 4. Joshua was on vacation yesterday and he did not go to work. 5. Everyone was well and went to work yesterday.

Q: Use the predicates Color(x,y,t) – the color of x is y at time t, Later(x,y) – x is later than y, and…

A: Lets discuss the solution in the next steps

Q: Using the predicate symbols shown and appropriate quantifiers, write each English language statement…

A: a. (∀x)B(x)→[R(x)]

Q: Using the predicate symbols shown and the appropriate quantifiers, write each English language…

A: Given - The domain is the whole world.D(x): x is a dayS(x): x is sunnyR(x): x is rainyM: MondayT:…

Q: Using the predicate symbols shown and the appropriate quantifiers, write each English language…

A: Answer: d

Q: Consider the two expressions σθ(E1 ⟕E2) and σθ(E1 ⋈ E2).Give a simple condition on the predicate θ,…

A: Consider the relation dept(id, department) and emp(id, name, deptId) with the sample data: dept:…

Q: Define the following predicates: • A(x) : x is on the board of directors." E(x) : x earns more than…

A:

Q: Look at the following predicates: P(x): x owns a car. Q(x): x is rich. R(x,y): x drives y's car.…

A: 1. Here the statement holds true for some rich man.  So we need to use existential quantifier for…

Q: Use the predicate symbols shown. Every ambassador speaks only to diplomats, and some ambassador…

A: "Every ambassador speaks only to diplomats" can be thought as “For every “x”, if “x” is an…

Q: Give the first order predicate calculus of the following statement: “Some fans follow every…

A: Below are the statements for a , b and c:

Q: Using the predicate symbols shown and appropriate quantifiers, write each English language statement…

A: Universal quantifier: ∀a ∈ A, P(a) It means that for every a in set A, the statement P(a) is true.…

Q: Give the first order predicate calculus of the following statement: "Some fans follow every…

A: Introduction :Given , we have given with 3 statement , we have asked for first order predicated…

Q: Let the domain be the set of all animals. Define the following predicates: A(x) : x can add. W(x) :…

A: I'm providing the answer of the above question. I hope this will be helpful for you..

Q: Find the truth set of each of these predicates where the domain is the set of integers. a) P(x) :…

A: Truth set is the set of those integers for which these predicates hold. P(x) : x3 >=1, x∈ Z…

Q: QUESTION 5 Let P(x; y) : x plays in y A(x) : x is athletic. S(x) x is smart. E(y) : y is in English…

A: According to the information given:- we have Let P(x; y) : x plays in y A(x) : x is athletic.  S(x)…

Q: QUESTION 9 Translate in two ways each of these statements into logical expressions using predicates,…

A: Given:- a) Everyone in your class has a cellular phone. b) Somebody in your class has seen a foreign…

Q: Let P(x) be the statement “x can speak English”, Q(x) be the statement “x knows the computer…

A: Step 1: The first of the sentence says there is a student at your school. So, we use the there…

Q: QUESTION 3 Consider the following statements: T(x, y): "x eats y". A(x): "x is wise". S(x): "x is…

A: Answer: I have given answered in the handwritten format in brief explanation

Q: Using the predicate symbols shown and the appropriate quantifiers, write each English language…

A: Using the predicate symbols shown and the appropriate quantifiers, write each English language…

Q: Using the predicate symbols shown and appropriate quantifiers, write each English language statement…

A: C(x): x is a childT(x): x is a toyV(x): x is a vegetableW(x, y): x wants y

Q: Using the predicate symbols S(x) for “x is a student,” I(x) for “x is intelligent,” and M(x) for “x…

A: a)  All students are intelligent: Every student is intelligent:   b) Some intelligent students like…

Q: c) Let F(x, y) be the statement "x can fool y," where the domain consists of all people in the…

A: c) i) Everybody in the statement "Everybody can fool Kanga" refers to "All the world" and can be…

Q: For the following predicates: E(x.y): y is the employee of x W(x): x <works at a book shop Which of…

A: I think ,here the answer will be first option.(a)

Q: R such that P(x)" is true. Avoid very similar predicates like "x Z" or "2x Q" as your 2 answer.

A: This is just a brief idea about what is asked in the question. The answer for the question is…

Q: Consider the predicate, p = a U (b Ú c), and answer the following questions. Show the steps towards…

A: Idempotent Law: X U False = X It means that Union operation of any variable with False give the same…

Q: Using the predicate symbols shown and appropriate quantifiers, write each English language statement…

A: 1)  Any movie is more fun than any game. If “x” is a game and “y” is a movie then for all “x” and…

Q: Define the following predicates: P(x): x is prime. Q(x): x is a perfect square. The domain for both…

A: According to the information given:- We have to find out the last 3 statement are True or False.

Q: Given the following definitions: • S: the domain of all CPSC 121 students. • : the domain of all…

A: Predicate logic statements Statement01: ∀x∈S,∀g∈G,A(x,g)↔B(x) For every students from CPSC121, the…

Q: Let F(x,y): "x is friend with y", N(x): "x is funny", W(x): "x is wise", R(x): "x is fair". The…

A: We are given a statement for which we will find its symbolic sentence.  Note: Here x range is for…

Q: Use the predicate symbols shown. Some elephants are afraid of all mice. Some mice are small.…

A: Predicates are bold and highlighted. Some elephants are afraid of all mice. Some mice are small.…

Q: Simplify the given expression so that negations appear only within individual predicates (that is,…

A: A→B≡ ¬A∨B¬(A∨B)≡¬A∧¬B¬(A∧B)≡¬A∨¬B

Q: PLEASE TYPE ANSWE*** Exercise 1.7.4: Translating quantified statements from English to logic, part…

A: Given: S(x): x was sick yesterday W(x): x went to work yesterday V(x): x was on vacation yesterday

Q: sing the predicate symbols shown and appropriate quantifiers, write each English language statement…

A: Using the predicate symbols shown and appropriate quantifiers, write each English language statement…

Q: Simplify the given expression so that negations appear only within individual predicates (that is,…

A: Please find the answer below:

Q: Let C(x) be the statement “x has a cat,” and let D(x) be the statement “x has a dog.” Let the domain…

A: (a)∀x(C(x)→D(x)) For all x if x has a cat then x has a dog     (b)∀x(¬C(x)→D(x)) For all x if x have…

Q: Translate the following English sentence into predicate logic. Use the predicat "All CS students…

A: Here the above statement holds true for all students. So we need to use universal quantifier for…

Q: Convert the following predicate calculus to English sentence. (∀X) (dog(X) → barks(X))

A: The given predicate, (∀X) (dog(X) → barks(X))  We have to convert it into English sentence.

Q: The domain of x is the set of all people and the domain of y is the set of all food Select the…

A: Here we are using statements like all hungry and non wise people. So we need to use universal…

Q: The domain of x is the set of all people and the domain of y is the set of all food Select the…

A: here statement holds true for all hungry and non wise people. So we need to use universal quantifier…

Q: Given the following definitions: • S: the domain of all CPSC 121 students. • G: the domain of all…

A: Predicate logic statements Statement01: ∀x∈S,∀g∈G,A(x,g)↔B(x) For every students from CPSC121, the…

Q: Let I(x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have…

A: Answer: Ix∧Iy→cx,y    ∃xIx∧¬Cx,y

Q: For this question about predicate logic, please note that, even though the 'nonsense' words are only…

A: Given that, Universe of discourse : all gugeons B(x) : x brabbles C(x) : x corrades G(x) : x groaks…

Q: Question 2 1. Let L by a language over E. For each of the following statements about L, determine…

A: According to our guidelines we solve only first one: ================================== about…

Q: (a) In German, the ending of a regular verb in present tense is normally t for third person…

A:

Q: Convert it into predicate logic: Every student in the class has either visited Canada or Mexico.

A: x  denotes  the number of student in this class Let M(x) denotes “x has visited Mexico”, Added C(x)…

Q: Q2: Translate the following First Order Logic in English sentences. i. VX (-X= Ahmed → help(Ali, X)…

A: The answer as given below;

Q: (a) In German, the ending of a regular verb in present tense is normally t for third person…

A:

Q: Consider the following statement: For every integer n such that 2 ≤ n < 5, 2n ≥ 2n. 1(a) Define…

A: A.  Let the predicate be Q(x) : x &gt;=2 and x&lt;5 R(x) : 2^n &gt;=2n The domain will be set of all…

Q: (a) In German, the ending of a regular verb in present tense is normally t for third person…

A:

Q: here are two A, B players playing the game. Player A is angry with him, and player B is angry with…

A: Algorithm: Firstly take input for test cases Then take the input for the test cases values then we…

Q: Suppose that the domain of the propositional function P(x) consists of the integers 1, 2, 3, 4 and…

A: Given: The domain of the propositional function P (x) consists of integers 1, 2, 3, 4, 5. A…