Translate the following English sentences into first-order logic. Every student owns a laptop and a calculator....
Translate the following English sentences into first-order logic.
Every student owns a laptop and a calculator. (Use the
predicates Student, Owns, Laptop and
Calculator.)
Homework Answers
LET OWNS(X,Y)=X OWNS Y
fIRST ORDER LOGIC =
∀ X,OWNS(STUDENT,LAPTOP) ) ∧ OWNS(STUDENT,CALCULATOR)
Add Answer to:
Translate the following English sentences into first-order
logic.
Every student owns a laptop and a calculator....
First-Order Logic Knowledge Representation Exercise Set #3 Translate each of the following English sentences into first-order...
First-Order Logic Knowledge Representation Exercise Set #3 Translate each of the following English sentences into first-order logic, using only the following constants and predicates... Constants: Joe- a person named Joe McCartney-a person named Paul McCartn Gershwin-a person named George Gershwin BHoliday- a person named Billie Holiday EleanorRigby- a song entitled "Eleanor Rigby" TheManILove-a song entitled "The Man I Love" Revolver- the music album entitled "Revolver" ey Predicates: CopyOffx,y) compact disk x is a copy of music album y ·Owns(x,y) ....
Consider the following two events for an individual. A = owns a cell phone B = owns a laptop computer Translate each ev...
Consider the following two events for an individual. A = owns a cell phone B = owns a laptop computer Translate each event into words. (a) Ac owns a cell phone does not own a laptop computer owns a laptop computer does not own a cell phone (b) A and B owns a cell phone and owns a laptop computer does not own a cell phone and does not own a laptop computer owns a laptop computer and does not...
create computer program to translate the following statements into First Order Logic. You can use whichever...
create computer program to translate the following statements into First Order Logic. You can use whichever language you prefer. PS: please read the question carefully. It said write a program with whichever language you prefer. a: all cheetahs are fast. Domain: animals; b: some cheetahs are fierce and dangerous. Domain: animals; c: every prime number is odd. Domain: integers; d: all prime numbers except two are odd. Domain: integers; e: all aliens are either green or orange. Domain: living creatures;...
Represent the following sentences in first order logic: 2.1.1 All dogs are mortal 2.1.2 Anyone who...
Represent the following sentences in first order logic: 2.1.1 All dogs are mortal 2.1.2 Anyone who studies or is lucky can pass all their exams. 2.1.3 Every person who gets married and has at least a child is called a father
Translate the following sentences using a notation using terms, predicates, qualifiers, and logical connectives. Use the...
Translate the following sentences using a notation using terms, predicates, qualifiers, and logical connectives. Use the letters indicated for predicates and proper nouns. 1. All seniors are dignified. (Sx, Dx). 2. Some juniors are pretty. (Jx, Px) 3. No freshman are dignified. (Fx) 4. Some seniors are both pretty and dignified. 5. Every freshman dates some junior (Dxy) 6. Betty is pretty but not dignified(b) 7. Anyone who likes Greek is either a senior or a junior (Gx) 8. Elizebeth...
Translate "the empty set is not a proper subset of every set" into a predicate logic expression and then use 1...
Translate "the empty set is not a proper subset of every set" into a predicate logic expression and then use 1 of the rules from question 1 above (along with the inference rules and the logical equivalences) to prove that claim, by proof by contradiction. [6 marks]
Translate "the empty set is not a proper subset of every set" into a predicate logic expression and then use 1 of the rules from question 1 above (along with the inference rules...
Important. You must justify every step in every proof you do in order to get credit...
Important. You must justify every step in every proof you do in order to get credit (justification may involve a law of logic, rule of inference, definition, or algebra/arithmetic). In questions that do not involve formal proofs, you need to explain your reasoning clearly. 3. [8 points] Translate the following statements between predicate logic and English. Equivalent statements will be given credit, and partial credit will be awarded for close answers. Your English statements must be as simple as possible:...
First Order Logic We would like to find out more information about a very shady organization...
First Order Logic We would like to find out more information about a very shady organization called the Society of Americans for Nepotism. We already know the following facts about this organization: sally and ellen are members. ellen is related to bill. Anyone related to a member is also a member. Being related is symmetric (i.e., if X is related to Y, then Y is related to X) bob is not a member. a. Represent these facts as sentences in...
Simplify the following sentences in predicate logic so that all the negation symbols are directly in...
Simplify the following sentences in predicate logic so that all the negation symbols are directly in front of a predicate. (For example, Vx ((-0(x)) + (-E(x))) is simplified, because the negation symbols are direct in front of the predicates O and E. However, Væ -(P(2) V E(x)) is not simplified.) (i) -(3x (P(x) 1 (E(x) + S(x)))) (ii) -(Vx (E(x) V (P(x) +-(Sy G(x, y))))) Write a sentence in predicate logic (using the same predicates as above) which is true...
it is about the classical logic in the subject of formal method： the question is shown...
it is about the classical logic in the subject of formal method：
the question is shown as the picture
Question 1: Classical Logic [25 marks)
a) Answer the following questions briefly but precisely.
i. State what it means for an argument to be valid in Predicate
Logic. [3 marks
ii. Suppose you use resolution to prove that KB = a. Does this
mean that a is valid? And why? [3 marks
b) Consider the following three English sentences: Sl: If...
First-Order Logic Knowledge Representation Exercise Set #3 Translate each of the following English sentences into first-order logic, using only the following constants and predicates... Constants: Joe- a person named Joe McCartney-a person named Paul McCartn Gershwin-a person named George Gershwin BHoliday- a person named Billie Holiday EleanorRigby- a song entitled "Eleanor Rigby" TheManILove-a song entitled "The Man I Love" Revolver- the music album entitled "Revolver" ey Predicates: CopyOffx,y) compact disk x is a copy of music album y ·Owns(x,y) ....
Translate "the empty set is not a proper subset of every set" into a predicate logic expression and then use 1 of the rules from question 1 above (along with the inference rules and the logical equivalences) to prove that claim, by proof by contradiction. [6 marks]
Translate "the empty set is not a proper subset of every set" into a predicate logic expression and then use 1 of the rules from question 1 above (along with the inference rules...
Important. You must justify every step in every proof you do in order to get credit (justification may involve a law of logic, rule of inference, definition, or algebra/arithmetic). In questions that do not involve formal proofs, you need to explain your reasoning clearly. 3. [8 points] Translate the following statements between predicate logic and English. Equivalent statements will be given credit, and partial credit will be awarded for close answers. Your English statements must be as simple as possible:...
Simplify the following sentences in predicate logic so that all the negation symbols are directly in front of a predicate. (For example, Vx ((-0(x)) + (-E(x))) is simplified, because the negation symbols are direct in front of the predicates O and E. However, Væ -(P(2) V E(x)) is not simplified.) (i) -(3x (P(x) 1 (E(x) + S(x)))) (ii) -(Vx (E(x) V (P(x) +-(Sy G(x, y))))) Write a sentence in predicate logic (using the same predicates as above) which is true...
it is about the classical logic in the subject of formal method：
the question is shown as the picture
Question 1: Classical Logic [25 marks)
a) Answer the following questions briefly but precisely.
i. State what it means for an argument to be valid in Predicate
Logic. [3 marks
ii. Suppose you use resolution to prove that KB = a. Does this
mean that a is valid? And why? [3 marks
b) Consider the following three English sentences: Sl: If...
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