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- Suppose that: • variable X can represent any creature, • the predicate tove(X) is true if and only if X is a tove, • the predicate slithy(X) is true if and only if X is slithy, and • the function action(X) is a function that returns the kind of action that X is able to perform. Write a statement in predicate logic with the following meaning: "Any tove that can gyre or gimble must also be slithy." The following symbols are provided for you to copy if you wish (though not many of them are needed in this question, and you are not limited to using only the symbols that are listed here): 3 V A V ¬ A → € e ± Answer:3. Let S(x) be the statement "x studied for the exam" and H(x, y) be the statement "x scored higher than y in the exam," where the domain of x and y consists of all students in this class. Which logical expression corresponds to the following statement? "Every student in this class who studied for the exam scored higher in the exam than every student who did not study for the exam." a. VxVy (H (x, y) → (S(x) ^ ¬S(y))) b. VxVy(S(x)^¬S(y) ^ H (x, y)) c. VxVy((S(x) ^ ¬S(y)) → H (x, y)) d. VxVy((S(x) → ¬S(y)) → H (x, y))Given the following: nale(P). female(P). father of (F,C). mother of (M,C). parent of (P,C):- father_of (P, C); mother_of (P, C). grandparent of (G, C): parent_of (G, X), parent of (X, C). Select the lines of code to build the rule for has sister which has one person as a parameter, which returns true if a sister for that person is found. \= means NOT EQUAL | Select ] (Select has sister(x- has sister(X) has sister(X) has sister(X): Select] ( Select) Given the following: male(P). female(P). father of (F,C). mother of (M,C). parent of (P,C):- father of (P, C); mother_of (P, C). grandparent of (G, C):- parent of (G, X), parent of(X, C). Select the lines of code to build the rule for has sister which haş one person as a parameter, which returns true if a sister for that person is found. \= means NOT EQUAL | Select ] Select [Select female(Y). female(X). X\-Y, [Select|
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- InstructionsDefine an enumeration type triangleType that has the values scalene, isosceles, equilateral, and noTriangle.Write a function triangleShape that takes as parameters three numbers, each of which represents the length of a side of the triangle. The function should return the shape of the triangle. (Note: In a triangle, the sum of the lengths of any two sides is greater than the length of the third side.)Write a program that prompts the user to input the length of the sides of a triangle and outputs the shape of the triangle.Rule Base case: x₁ = 2 X1 Xn = Xn-1-3n² Predicate reccurrenceRule 2Q9: Knowledge Representation - Consider the following statements: 1. All children have a favourite toy. 2. Whoever likes dolls or soft toys is a child. 3. Fuzzy is a soft toy: SOFT-TOY (Fuzzy). 4. Ellen likes Fuzzy: LIKES (Ellen, Fuzzy). (a) Using only the following predicates CHILD(*), HAS-FAV-TOY(*), LIKES (*,*), DOLL(*) and SOFT-TOY(*), represent the two statements as predicate calculus well formed formulas (wffs). Notes: The asterisks indicate the number of arguments in each predicate; keep your representation consistent with the predicates in statements 3 and 4 above.) (b) Convert these statements into clauses. (c) Use resolution refutation to prove that Ellen has a favourite toy. State the goal, and indicate clearly the number of the clause you are using, and any substitutions you make. Goal 5: HAS-FAV-TOY(Ellen). Negated goal: ¬HAS-FAV-TOY(Ellen).
- When a Predicate has only a single Clause, which of the following Clause coverage criteria is enough to cover the Clause. a. General Inactive Clause Coverage b. Restricted Active Clause Coverage c. General Active Clause Coverage d. Predicate Coverage e. Combinatorial Clause CoverageCreate the abstract use case for business manager of Amazon to find the top 10 popular items in search and purchase for the past week for a given region. Then, create the corresponding business use case. In the case above "Generate Reports" would be the business use case, " generate popular items" would be the abstract use case. It can only be accessed after the decision to generate a report. In the case of the question above the actor is specified as a business manger therefore generate popular items is an include. If the actor were simply an employee it is an extend because it is conditional on employee type.Select the correct statements about the following sequence diagram: :Specific Flight cancelBooking :Booking :PassengerRole cancel deleteFromItinerary deleteFromPassengerList A. "deleteFrom Passenger List" is a result the message "cancel." B. Booking object's lifetime ends after issuing the "deleteFrom PassengerList" message. C. Actor initiates the interaction by passing the "cancelBooking" message. D. Specific Flight, Booking and Passenger Role objects are already existing when the interaction starts.