Translate the following sentences into FOL. Use these predicates: Older(x,y), meaning x is older than y; Ancestor(x,y), meaning x is y’s ancestor, Owns(x,y), meaning x owns y, and Dog(x), meaning x is a dog. Use constant symbol Amy. A person’s ancestor is older than they are. (In other words, if someone is another person’s ancestor, then they are older.) Amy has an ancestor who owned a dog.  All of Amy’s ancestors owned a dog.

4d. In the following exercises I give you the symbols that you will use for predicates or relations. Your task is to paraphrase the English sentences in quantified relational logic. For example, suppose you have the English sentence “Something is missing” (M, missing), then the paraphrase is ∃xMx. (iv) Only white swans exist. (S, swan; W, white) (v) A swan is white. (S, swan; W, white)   (The image is just formuals if your not familiar with this)

Translate the following sentences into symbolic logic There exists a real number a for which a+x=x for every real number x.

• The domain for variables a and y is the set of students in a class. • The predicate R(x, y) means that student æ knows the test results for student y. Select the right items so that the logical expression is equivalent to the following sentence. Everyone's test results are known by someone else. Pick v Pick v ((x + y) Pick v R(x, y))

Write the formal negation of the following statement: V ne N, 3 x E R s.t. x < -.

"Juan is both a Math and a CS major". Represent the above statement in symbolic form using the below as necessary (not all may be required): m = "Juan is a Math major" c = "Juan is a CS major" and the symbol (for logical not), "and" (to represent logical and), and "or" (to represent logical or).

Q.6 Convert the following sentence to conjunctive normal form (CNF). (A B) =C (Hint: Study Conjunctive normal form (CNF) and Standard logical equivalences)

Please help me with these questions. I am having trouble understanding what to do  Just complete questions d & e

Which one of the following is the logical negation of “No telephones” a. Some telephones do not ring. b. Some telephones ring. c. All telephones ring. d. Telephones beep.

Translate the English sentences: (a) At least one green dragons can fly. (b) A dragon can fly only if it is green. each into a predicate logic formula, using the predicates dragon, green and canFly.