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.
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- Q. There is an island that has two kinds of inhabitants, knights, who always tellthe truth, and their opposites, knaves, who always lie. It is assumed that every inhabitant of theisland is either a knight or a knave. Below there are 3 inhabitants, who are denoted by A, B andC.A. What are A, B and C if A says “If B is a knave then C is a knave”, and B says “If Cis a knight then A is a knave”? Briefly explain your reasoning.B. What are A,B and C if A says “B is a knight and C is a knight”, and B says “A is aknight if and only if C is a knave”? Briefly explain your reasoning.Correct answer will be upvoted else Multiple Downvoted. Computer science. one maneuver, the robot should move one cell to the left or right, given that it doesn't move beyond the field of play. As such, if the robot was in the cell I, it should move to either the cell i−1 or the cell i+1, as long as it lies among 1 and n (endpoints comprehensive). The cells, in the request they are visited (counting the cell the robot is set), together make a decent way. Every cell I has a worth computer based intelligence related with it. Let c0,c1,… ,ck be the succession of cells in a decent way in the request they are visited (c0 is the cell robot is at first positioned, c1 is the cell where the robot is after its first move, etc; all the more officially, ci is the cell that the robot is at after I moves). Then, at that point, the worth of the way is determined as ac0+ac1+⋯+ack. Your errand is to work out the amount of qualities over all conceivable great ways. Since this number can be…Let l(x) be "x has an internet conection" and C(x, y) be "x and y have chatted over the internet". Assume the domain is all students in a class. Express the following using quantifiers. 1. Jerry does not have an internet connection 2. Exactly one student in the class has an internet connection 3. Someone in your class has an internet connection but has not chatted with anyone else in the class.
- 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.Correct answer will be upvoted else downvoted. Computer science. Michael is blamed for disregarding the social removing rules and making a danger of spreading Covid. He is currently shipped off jail. Fortunately, Michael knows precisely what the jail resembles from within, particularly since it's actual straightforward. The jail can be addressed as a square shape a×b which is separated into stomach muscle cells, each addressing a jail cell, normal sides being the dividers among cells, and sides on the border being the dividers prompting opportunity. Prior to condemning, Michael can ask his companions among the jail representatives to make (all around stowed away) openings in a portion of the dividers (counting dividers among cells and the furthest dividers). Michael needs to have the option to escape the jail after this, regardless of which cell he is set in. Be that as it may, he likewise needs to break as couple of dividers as could be expected. Your assignment is to…Module 6 Journal. Please complete each of the proofs below. The proofs below may use any of the rules of inference or replacement rules given in Chapter 8. (D→C) • (C→ D), E → -(D → C) :. -E F • (G V H), -F V -H : F. G -U → ~B, S → ~B, ~(U • -S), TV B .:. T 3. (QR) V (-Q • -R), N → ~(Q ↔ R), EV N.. E -X → -Y, -Xv -Y, Z →Y: -Z -M V N, -R→-N : M → R
- Please help me design a SimulationProject.cpp in C++. THANK YOU! For this assignment, we will simulate boarding procedures for Airworthy Airlines. The Airline's current procedure is as follows: pre-board in the following order: families with young children or people who need help (e.g., wheelchair) first class and/or business class passengers elite passengers (frequent fliers) and those passengers seated in exit rows conduct general boarding in reverse, from the back of the plane to the front in the following order: rows 23-26 rows 17-22 rows 11-16 rows 5-10 Airworthy is considering revising their boarding procedure such that general boarding is done randomly, meaning the first passenger in line for general boarding is the first passenger to board (i.e., general boarding passengers all have the same priority). Airworthy suspects this random general boarding method will improve the flow of passengers, getting them on board and seated more quickly. It is also less labor-intensive…AI a modern approach 10.3 The monkey-and-bananas problem is faced by a monkey in a laboratory with some bananas hanging out of reach from the ceiling. A box is available that will enable the monkey to reach the bananas if he climbs on it. Initially, the monkey is at A, the bananas at B, and the box at C. The monkey and box have height Low, but if the monkey climbs onto the box he will have height High, the same as the bananas. The actions available to the monkey include Go from one place to another, Push an object from one place to another, ClimbUp onto or ClimbDown from an object, and Grasp or Ungrasp an object. The result of a Grasp is that the monkey holds the object if the monkey and object are in the same place at the same height. a. Write down the initial state description.b. Write the six action schemas.c. Suppose the monkey wants to fool the scientists, who are off to tea, by grabbing the bananas, but leaving the box in its original place. Write this as a general goal (i.e.,…LetC(x)be the statement "xhas a cat",D(x)"xhas a dog", andH(x)"xhas a horse". LetUbe the set of all students in your class. Express each of the following statements in terms ofC(x),D(x),H(x), quantifiers, and logical connectives. a. A student in your class has a cat, a dog, and a horse. b. Some student in your class has a cat, a dog, but not a horse. c. No student in the class has a cat, a dog, and a horse. Please give proper explanation and typed answer only.
- 13. p(x): x is intelligent q(x): x reads book r(x): x is a student in your class Find the correct English translation for the following logical expression: ∀x(r(x)→(p(x) Λ q(x)) a. None b. There is an intelligent student in your class who reads book c. Every student in your class is intelligent and reads book d. All student in your class is intelligent and doesn't read bookLet the domain be the set of all students in a certain class. Define the following predicate: C(x, y) : x and y have chatted over the Internet. Translate each of the following English statements into a logical expression. 1. Rachel has not chatted over the internet with Chelsea. 2. No one has chatted with Bob over the Internet. 3. Someone has chatted with everyone over the Internet. 4. No one has chatted with everyone over the Internet. 5. Everyone has chatted with someone over the Internet. There are two ways to submit answers to this question: 1) Eneter in essay box directly. Note that logical expressions must be entered in Math mode, which begins with \(, and end with \). Below is a list of LaTex code for each logical operator. V Ivee A \wedge - \neg → \to + \leftrightarrow Vx \forall x Ex \exists xLet the domain be the set of all students in a certain class. Define the following predicate: C(x, y) : x and y have chatted over the Internet. Translate each of the following English statements into a logical expression. 1. Rachel has not chatted over the internet with Chelsea. 2. No one has chatted with Bob over the Internet. 3. Someone has chatted with everyone over the Internet. 4. No one has chatted with everyone over the Internet. 5. Everyone has chatted with someone over the Internet.