Discrete Math: Define the following predicates on the domain for all people. S(x) = "x is a student" T(x) = "x is a teacher" F(x,y) = "x and y are distinct people who are friends with one another" (Also asume that F(x,y) is the same as F(y,x) ) Look at images for the questions.

Q: QUESTION 5 Describe the language produced by the following recursive set definition (assume . = {0,…

A: Theory of Computation Question. Answer given in next section.

Q: Let the domain be the set of all positive integers. Let P(x, y) be the predicate "x is divisible by…

A:

Q: ewrite the following proposition as unambiguous English sentences. The relevant redicates are…

A: To convert the propositional logic to Unambigous English Sentence. Propositional logic (PL) is the…

Q: Convert the following sentenceto predicate calculus 1. everyone is offended by something

A: Given : Sentence: Everyone is offended by something.

Q: Translate the conceptual graph below into English and predicate calculus. person: john agont eat…

A: The translated  conceptual graph below into english  and predictate calculus is given below:-

Q: 6. Given, A = p A (p V q) and B = p V (p A q). State whether A = B or not. 7. Let P(x), Q(x), and…

A: here in this multi part question we have asked weather  these two logical statement are equivalent…

Q: Predicate calculus, converting from english to logic. Let H(p,d) be the predicate to person (p) has…

A: AS PER OUR POLICY “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: Symbolize each of the following using predicate logic (PL): ELECTRONS are elementary PARTICLES but…

A: Below i have given the answers  Taken the 3 questions as a,b and c

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: ∃! x (x - 1 = 0),where domain consists of all integer numbers  true or false

A: ∃! -- This symbol represents "that there exists only one".

Q: Convert the following sentences to predicate calculus: None but ripe bananas are edible.

A: Given sentence: "None but ripe bananas are edible" It can also be written as "A banana is edible…

Q: Define a predicate int/1 such that ?- int(X). X = 0 ; X = 1 ; X = 2 ; ...

A: Define a predicate int/1 such that ?- int(X). X = 0 ; X = 1 ; X = 2 ;   Here is the X= 0,1,2,3......

Q: A boatman, a wolf, a sheep, and a cabbage are on the bank of a river. They have a small boat that is…

A: Here is the PYTHON code as required I have kept it very simple to understand

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: Convert the following English sentence to Predicate calculus. Sometimes John loves Mary

A: We'll represent "John loves Mary" as "Ljm," and "John is loved by Mary" as "Lmj." "John loves…

Q: The table below contains the incomplete syntactic proof of a First Order Logic argument vz q(z) →…

A:

Q: Write the First Order Logic of the following: (Hint: you may need to use these symbols: Vx, Ix, A,…

A: As per the answering guidelines solving the 1st three question completely.  A)  Let the predicate be…

Q: he knowledge of an expert system is given as follow: male(john). male(sam). male(peter).…

A: Find a possible solution below.

Q: Convert the following sentences to predicate calculus:                                          if…

A: If something falls into a black hole, then it will be lost forever," reads at first as if it takes…

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

A: Answer: d

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: Let the domain be the set of all employees of a certain company and Joshua is an employee of that…

A: As per answering guidelines, solving the first 3 sub question.  1. The statement holds true for…

Q: Given the domains m € MOVIES and c e CH ARACTERS and the following predicates: • SW(m): m is a Star…

A:

Q: Proof of Correctness  In this question, you will use strong induction to prove that your new…

A: The, answer has given below:

Q: Suppose P(a) is the predicate "a is prime" and Q(a) is the predicate "a is divisible by 3", for all…

A: There exists no truth value .

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: Let p and q be the propositions "The exam is decided“ and "The marks have been counted,"…

A: 1) ~p: The exam is not decided 2) pvq: The exam is decided or the marks have been counted.  3) ¬p ∧…

Q: (УxE A)(Gy € A)(x + у < 14) а. b. (Vy e A)(x +y< 14) C. (Vx € A)(Vy € A)(x + y < 14)

A: Below are the answers with reason:

Q: Use the predicate symbols shown. Some plants are flowers. All flowers smell sweet. Therefore, some…

A: The argument: (∃x)[P(x) ∧ F(x)]∧ → (∃x)[P(x) ∧ S(x)]

Q: Ex3. Construct a Turing Machine with tape symbols a and b and o that, given a string over E = {a,…

A: Turing's machine is not a real machine.

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: 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: Let the domain be the set of all positive integers. Let P(x, y) be the predicate "x is divisible by…

A: P(x,y) x is divisible by y  P(91,13) 91 is divisible by 13 So statement is true.

Q: Translate the conceptual graph below into predicate calculus. person: john agont eat objoct soup…

A: Task : Given the conceptual diagram. The task is to convert the diagram to predicate calculus.

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: 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: 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: Simplify the given expression so that negations appear only within the individual predicate [((p →…

A: Known rule/Conversion -

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: Let D be a set of dogs including the particular dogs Cardie (c) and Duncan (d). Define the following…

A: Solution: Duncan is terrier: Its Given that particular dogs Cordie(c) and Duncan(d) and T(x)  it…

Q: Let the domain be the set of all animals. Let P(x,y) be the predicate "x is a y". Determine if the…

A: P(x,y) be the predicate x is y  P(Dog, Mammal ) dog is a mammal.

Q: Predicates S(x): x is a student D(x): x is a pet H(x): x is a home T(x, y): x is owned by y (y owns…

A: Note: Answering the first three subparts as per the guidelines. Given Predicates : S(x): x is a…

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: Sometimes John loves Mary

A: Given sentence in predicate calculus

Q: nglish, where C(x) is “x is a comedian” and F(x) is “x is funny” and the domain consists of all…

A: Let us translate the following statements into English sentences, where C(x) =xx is a comedian F(x)…

Q: a) Show that R irrational numbers are uncountable. b) A= {n²|n E N}, discuss either A or N is the…

A: Answer

Q: 1.All animals are dogs.  3.Some animals are not cats. 4.Every animal that is a dog is not a cat.

A: 1.All animals are dogs.  3.Some animals are not cats. 4.Every animal that is a dog is not a cat.

Q: Convert the following English sentences to Predicate calculus. No animal dislikes honey

A: Hi We need to convert the given statement to Predicate calculus: No animal dislikes honeyLet P :  P…