2. Translate the following into propositional logic a. If Ana eats, Bret eats b. Charles eats and Derek doesn't eat c. Bret doesn't eat d. If Derek doesn't eat at least one among Ana, Earl, and Fred eats e. If at least one of Charles and Gary eats, Earl doesn't eat Using the premises in Q2, show that Fred eats
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- For (∃ x)(P(x,b)) Would an example of this being true if the domain was all the Avengers and x was green skin, then "b" being the Hulk would make this true. Am example of this being false would be: If the domain was all integers and x was positive, even integers and "b" was integers greater than zero.A detective has interviewed four witnesses to a crime. From the stories of the witnesses the detective has concluded that: If the handyman is lying, then so is the butler. The gardener and the handyman cannot both be telling the truth. The cook and the gardener are not both lying. The handyman is telling the truth only if the cook is lying. For each of the four witnesses, can the detective determine whether that person is telling the truth or lying? Use the truth table to explain your reasoning (Give the full truth table). Please use the following notations in your reasoning – B: The butler is telling the truth. C: The cooking is telling the truth. G: The gardener is telling the truth. H: The handyman is telling the truth.Three persons P1, P2, and P3 were invited by their friend F to make some smørbrød (sandwich made of bread, eggs, and tomato) together. To make a portion of smørbrød, three ingredients are needed: a slice of bread, a slice of tomato, and a slice of an egg. Each of these persons P1, P2, P3 has only one type of each of the ingredients: person P1 has slices of bread person P2 has slices of tomato; person P3 has slices of egg. We assume that persons P1, P2, and P3 each has an unlimited supply of these ingredients (i.e., slices of bread, slices of tomato, slices of egg), respectively. Their friend F, who invited them, also has an unlimited supply of all the ingredients. Here is what happens: the host F puts two random ingredients on the table. Then the invited person who has the third ingredient picks up these other two ingredients, and makes the smørbrød (i.e., takes a slice of bread, puts on it a slice of tomato, and puts on top a slice of egg), and then eats the smørbrød. The host of…
- A detective has interviewed four witnesses to a crime. From the stories of the witnesses the detective has concluded that: If the handyman is lying, then so is the butler. The gardener and the handyman cannot both be telling the truth. The cook and the gardener are not both lying. The handyman is telling the truth only if the cook is lying.Rohan, the bookworm plans on reading 8 books by next week. But he only reads novels,poetry, short stories or science fiction. Interestingly he says, "My love for novels is twicethe love for the rest altogether ". He also claims, "Love for short stories = 3 x Love forscience fiction = 3 x Love for poetry". Taking these into account, determine theprobability that he reads 4 novels, 3 poetry and 1 short story or science fiction?Anthony, Shirley and Jennifer belong to the Dancer Club. Every member of the Dancer Club is either a skier or a mountain climber or both. No mountain climber likes rain, and all skiers like snow. Jennifer dislikes whatever Anthony likes and likes whatever Anthony dislikes. Anthony likes rain and snow. Using resolution, please find: is there a member of the Dancer Club who is a mountain climber but not a skier?
- Consider the following propositions: p="lt is cloudy" q="lt is rainy" r="I will play outside" s="I will stay at home" Select the inverse (s) of the follwing sentence: "I will stay at home and I will not play outside unless it is neither cloudy nor rainy" SA -r→pv q "pA 79- 7s vr svr-¬pv -g Osvr+-p A ¬g None of all the proposed answersAssume that a rook can move on a chessboard any number of squares in a straight line,vertically or horizontally, but cannot jump over other pieces.A. Give two possible admissible heuristics.B. Which one is more informed than the other (dominates the other). Explain your answer.C. Explain how we can combine the two heuristics in such a way the give a better heuristic thatis still admissible.Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Another law will be endorsed to expand the uniformity between the specialists. The public authority chose to cause everybody to have a similar occupation classification by playing out the accompanying activity quite a few times (conceivably zero). There is a decent objective boundary k=ab depicting that it is so natural to persuade people in general, and it will be utilized to decide the accomplishment of an activity. In an activity, the public authority initially chooses a task class x with something like one laborer at the current second. Assume i1,… ,im (i1<… <im) are the places of the multitude of laborers with work classification x. In the event that k⋅(im−i1+1)≤m, the public authority can pick any work classification y with no less than one specialist at the current second and change the work class of all laborers with work class x to work classification y. In case…
- please answer with proper explanation and step by step solution. Question: Provide proofs for the following statements a.The full resolution inference rule (on Slide 37) holds for any k, n≥1. During the lecture, we show the proof for the simple resolution inference rule. You can use a similar approach. b.Horn clauses are closed under resolution: if you resolve two Horn clauses with complementary literals in the two clauses, you get back a Horn clause.Use quantifiers to symbolize the following statements. Let the universe be the set of all things, and use the following propositional functions (all are predicates, not relations): D(x) = x is a dog; M(x) = x is miserable; R(x) = x is ridden with fleas; E(x) = x is exercised; N(x) = x is neglected; W(x) = x is well treated. Some dogs are miserable if they are ridden with fleas. Not all miserable dogs are ridden with fleas. Dogs that are not exercised are neglected and not well treated. No dog that is well treated is neglected. Only well-treated dogs are not neglected.Correct answer will be upvoted else Multiple Downvoted. Computer science. The j-th companion can be set before the I-th companion on the photograph if his square shape is lower and smaller than the square shape of the I-th companion. Officially, somewhere around one of the accompanying conditions should be satisfied: hj<hi and wj<wi (the two companions are standing or both are lying); wj<hi and hj<wi (one of the companions is standing and the other is lying). For instance, on the off chance that n=3, h=[3,5,3] and w=[4,4,3]: the main companion can be set before the second: w1<h2 and h1<w2 (one of the them is standing and the other one is lying); the third companion can be put before the second: h3<h2 and w3<w2 (the two companions are standing or both are lying). In different cases, the individual in the closer view will cover the individual behind the scenes. Help Polycarp for every I find any j, with the end goal that the j-th…