c) Translate the following English sentence into predicate logic. Use the predicates listed.“All CS students take at least two classes". Let the domain of discourse be all peopleand all coursesCS(x) := True if x is a CS studentTakes(x,y) := True if student x has taken course yEquals(x.y) := True if x equals y.

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

Translate the following English sentence into predicate logic. Use the predicat "All CS students take at least two classes". Let the domain of discourse be a and all courses CS(x) := True if x is a CS student Takes(x,y) := True if student x has taken course y Equals(x.v) := True if x equals y.

Translate the following English sentence into predicate logic. Use the predicat "All CS students take at least two classes". Let the domain of discourse be a and all courses CS(x) := True if x is a CS student Takes(x,y) := True if student x has taken course y Equals(x.v) := True if x equals y.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: ! Exercise 3.2.4: Show that each of the following are not valid rules about FD's by giving example…

A: The answer for the above mentioned question is given in the following steps for your reference.

Q: Question 2: DFAs For this question take Σ = {a,b} (a) Make a DFA (state-diagram), that accepts all…

A: Given: For this question take Σ = {a,b}(a) Make a DFA (state-diagram), that accepts all words that…

Q: Consider the problem of learning the target concept "pairs of people who live in the same house,"…

A: We are to apply the PROLOG-EBG algorithm to learn the target idea of "pairs of people who live in…

Q: Let the domain of discourse be the set of all animals. Consider the predicates mammal(x): x is a…

A: Dear Student, The answer to your question is given below -

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: Need help in this question 1. Translate the following English statements into first-order logic…

A: Let's translate the given English statements into first-order logic formulas using the provided…

Q: Let A. B. C. D. E, and F be the propositions: A: Ann is present B: Bill is present C: Charles will…

A: For this question the option (c) (A—>~E)—>F will be the correct option.

Q: 4. Show by constructing a program that the predicate x, <x2 is com- putable

A: Constructing a program that the predicate x1<=x2 is computable are as follows:

Q: Let P(x,y) be the statement “x and y work at the same company” and Q(x,y) be the statement “x and y…

A: ((x≠y)∧P(x,y)∧Q(x,y)) it means, (x and y are two different employee) and (x and y works in same…

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: 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: In the following question, use the following predicates about beings eating different type of food…

A: Given, In the following question, use the following predicates about beings eating different type…

Q: Complete the truth table for the implication. You must submit a complete TT. (A ∧ ~B) → C. A B…

A: According to the information given:- We have to complete the mentioned truth table of (A ∧ ~B) → C.

Q: 6. Let C(x, y) mean that student x is enrolled in class y, where the domain for x consists of all…

A: a) Expression: Explanation: The student Randy Goldberg is enrolled his name to join in…

Q: 15. Let the predicate knows(x, y) again denote that person x knows person y, and happy(x) to mean…

A: the correct option for the above question is answered in step 2:- so follow step 2

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: a simple indirect relation (e.g., X is a friend of Y and Y is a friend of Z and Z is a friend of W,…

A: To suggest possible friends to a person based on indirect relations, we can use Prolog to define the…

Q: Define the following propositions: • s: a person is a senior • y: a person is at least 17 years of…

A: Logical expressions are statements or propositions expressed using logical operators to convey…

Q: Rewrite the following proposition as unambiguous English sentences. The relevant predicates are…

A: A predicate refers to the statements or expressions with several variables and it should be verified…

Q: Describe how these statements diffffer, in terms of who receives a balloon and under what

A: For statement 01, domain x and domain g is applied to both A(x, g) and B(x) For all students x,…

Q: Consider the following sentences, then write the negation of each one. (a) If the manager is…

A: Task : Given the three sentences. The task is to write the negation of three sentences.

Q: Please written by computer source 1) Write truth tables for the statement forms in A.∼p ∧ q B. p ∧…

A: Note:- As per bartleby guidelines we can allowed to solve one question. Please post remaining…

Q: For this question take Σ = {a,b} (a) Make a DFA (state-diagram), that accepts all words that s with…

A: I have solved below:

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: Exercise 1 Let B be a set of Boolean variables and P be a propositional logic formula over B. If P…

A: In Artificial intelligence, first-order predicate logic is the way to represent knowledge. the…

Q: 4- Find the truth set of each of these predicates where the domain is the set of integers. a) P(x):…

A: SOLUTION - a) P(x): |x| = 1 Given, P(x) : I x l = 1 So x = 1 and x = -1…

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 H(x) be the predicate " is happy", and let W(x) be the predicate " works a lot". Which of the…

A: Answer: The statement "All people who work a lot are happy" can be represented in symbolic form as:…

Q: 1. Translate the following into Predicate Logic. Do not forget to add the translation key and all…

A: In this question we need to convert given sentences into predicate logic.

Q: Consider the following predicates defined over the domain of people: S(x): x is a student W(x): x…

A: We need to express the given expression in English using the given rules of predicate logic.

Q: Let p, q, and r be the propositions p: Grizzly bears have been seen in the area. q: Hiking is safe…

A: Given p: Grizzly bears have been seen in the area.q: Hiking is safe on the trail.r: Berries are ripe…

Q: The domain for this problem is some unspecified collection of numbers. Consider the predicate P(x,…

A: Answer: Given P(x, y)="x is greater than y"; we need to write the translated predicated

Q: QUESTION 5 Let F(x,y): "x is friend with y", N(x): "x is funny", W(x): "x is wise", R(x): "x is…

A: In given question, we are given a statement and for that first we have to find out the negation…

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: 8. Let C(r) be the statement "x has a pet cat," let D(x) be the statement "x has a dog," let H(a) be…

A: A(x) is the statement defined in the problem, it says "x is allergic to animals". Quantifiers are…

Q: Use quantifiers to symbolize the following statements. Let the universe be the set of all things,…

Q: Assuming the following predicates: • L(x, y): x is strictly less than y (x0); • D(x, y): x divides y…

A: Solution: Given,

Q: a) Consider the following set of facts: 1. X is a student. 2. X studies in CSE department. 3. X has…

A: The answer for the above given problem is given below:

Q: Consider the following formula in predicate logic: ∃(P(y) Λ Q(y)) with domain the set of all human…

A: Dear Student, " ∃ " represents there exists. Also , P(y) Λ Q(y) means Y is an engineer and is…

Q: 2. Assuming the following predicates: L(x, y): x is strictly less than y (x0); • D(x, y): x divides…

A: Solution: Given,

Q: 14. Let the predicate knows(x, y) denote that person x knows person y, and tall(x) denote that…

A: ∃ is the existential qunatifier whih means there exist someone.∀ is the universal qunatifier which…

Concept explainers

Predicates

A predicate is a function defined with set of variables, which returns the result True or False. The output of a predicate is a Boolean value as a response when given a set of parameters:

Question

c) Translate the following English sentence into predicate logic. Use the predicates listed.
“All CS students take at least two classes". Let the domain of discourse be all people
and all courses
CS(x) := True if x is a CS student
Takes(x,y) := True if student x has taken course y
Equals(x.y) := True if x equals y.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

The domain is the set {a, b, c, d, e}. The table below shows the value of two predicates for each of the elements in the domain. Ex: The value of P(c) is false because the truth value in row c and column P is F. PQ a FT bFF CFF d TF e F F Check Next Give exactly one counterexample that shows the proposition VxP(x) is false. Ex: d Give exactly one example that shows the proposition 3xQ(x) is true. 2
3. The statement "3x E Z such that ¢ Q" is clearly false, but the statement "3x ER such that x 4 Q" is true. This shows that the domain of the quantifier matters. Now, give your own sim- ple example for the predicate P(x) such that "x E Z such that P(x)" is false but “x E R such that P(x)" is true. Avoid very similar predicates like "x ¢ Z" or "2x ¢ Q" as your answer.2
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 the constant L1. Write a set of three sentences to describe the behavior of traffic light L1. Its color cycles through the sequence Green -> Yellow -> Red -> Green -> ...
discrete strucrtures question
Alert: Don't submit AI generated answer and please submit a step by step solution and detail explanation for each steps.
Develop a system/application in Prolog that will allow grader to: load a set of student’s grades (see samples from the Table C below) query student’s final letter grade (A, B, C, etc.) by a given student’s name. query student(s) whose grade matches to the input letter grade (e.g., A). For example, show student(s) whose final letter grade is A. There are 3 types of grades for each student—HWs, Exams, and Project, with a weight of 20%, 40% and 40%, respectively, to the 100-point final. Table A and B show how the final grades (in points and letter) are computed. Table C shows samples of students’ grades. You will define the execution instructions to answer the following questions so that grader can test out your application in Prolog: how to load your source code to Prolog runtime/compiler how to load students’ grades to Prolog runtime/compiler how to query student’s letter grade how to query student(s) whose letter grade matches to an input letter grade Please DO NOT hard code any…
Let D be a set of dogs including the particular dogs Cardie (c) and Duncan (d). Define the following predicates on D: W(x) means "dog a likes walks", T(x) means “dog æ is a terrier", R(x) means "dog x is a Rottweiler", and S(x, y) means "dog a is smaller than dog y" or equivalently “dog y is larger than dog r". Using the first five of the statements below, prove the last statement using quantifier rules. (Translate the statements into symbolic ones before you start.) • Duncan is a terrier. • All terriers are smaller than Cardie. • Cardie is smaller than some Rottweiler. • If a first dog is smaller than a second dog, and the second is smaller than a third dog, then the first dog is smaller than the third. • All dogs like walks. • There is a Rottweiler who is larger than some terrier who likes walks.
3. Express the following English sentences using propositional functions, quantifiers and logical connections. (a) Someone in the class is helped by everyone in the class. (b) There is a hard working student in the class who has not been helped by any student in class. (c) For everyone in the class, someone who is smart has helped him/her. SO (d) There are two people in the class who have not helped each other. (e) There is a hard working student in the class who is helped by every smart student in class. (f) There are some companies that hire only hard working students.
1. Use resolution to determine if the following arguments are valid. Use the predicates suggested.
p.77, icon at Example 6 #1. The proposition (¬q^(p → q)) →¬p is a tautology, as the reader can check. It is the basis for the rule of inference modus tollens: ר קר Suppose we are given the propositions: “If the class finishes Chapter 2, then they have a quiz” and “The class does not have a quiz." Find a conclusion that can be drawn using modus tollens.
2. Using the given predicate definitions, express the following as a predicate formula. The universe of discourse (the set of all possible values applicable to predicate variables) is given to be the set of human beings. S(r, y) - True only if z is the sibling of y F(1, y) - True only if r is the father of y "If there are two individuals who are siblings then they have the same father". (hint xou may have to use equality predicate)
The teams is a sports competition are divided into six groups with five teams in each group. Each team plays the other teams in its group once only. Write a Prolog preciate schedule(S) that is true if S is a valid schedule. A schedule lists the fixtures for each day of the competition. In a fixture (A,B), team A is the home team and team B is the away team. A schedule is valid if: • there are no more than three matches on any day, • each team has the same number of home and away fixtures in the whole schedule, and • each team has at least four rest days between fixtures. Ideally the schedule S should be as short as possible, and the predicate schedule should be able to generate multiple valid schedules.