Assigned questions for each question in this assignment, we will be using the following predicates. Each Netflix user's viewing history can be represented as a n-tuple indicating their preferences about movies in the database, where n is the number of movies in the database. Each element in the n-tuple indicates the user's rating of the corresponding movie: 1 indicates the person liked the movie, -1 that they didn't, and 0 that they didn't rate it one way or another. Consider a four movie database. We denote the set of possible ratings {-1,0,1} ^{-1,0,1} ^{-1,0,1}~{-1,0,1} as R4. We have the function 11,4 : R4 x R4 + N where d1,4 (31,12,13, x4), (41, 42, 43, 44) ) = max | r; yil 1 21- yi) 2. For each quantified statement below, first translate to an English sentence. Then, negate the whole statement and rewrite this negated statement so that negations appear only within predicates (that is, so that no negation is outside a quantifier or an expression involving logical connectives) The translations are graded for fair effort completeness. For negations: You do not need to justify your work for this part of the question. However, if you include correct intermediate steps, we might be able to award partial credit for an incorrect answer. i. First statement: VnEN E R4 X R4 (d1,4(t) = n) ii. Second statement: Vt R4 x R4 Vt2 R4 x R4 ( -(t1 = t2) +-(d2,4(+1) = d2,4(+2))) Assigned questions for each question in this assignment, we will be using the following predicates. Each Netflix user's viewing history can be represented as a n-tuple indicating their preferences about movies in the database, where n is the number of movies in the database. Each element in the n-tuple indicates the user's rating of the corresponding movie: 1 indicates the person liked the movie, -1 that they didn't, and 0 that they didn't rate it one way or another. Consider a four movie database. We denote the set of possible ratings {-1,0,1} ^{-1,0,1} ^{-1,0,1}~{-1,0,1} as R4. We have the function 11,4 : R4 x R4 + N where d1,4 (31,12,13, x4), (41, 42, 43, 44) ) = max | r; yil 1 21- yi) 2. For each quantified statement below, first translate to an English sentence. Then, negate the whole statement and rewrite this negated statement so that negations appear only within predicates (that is, so that no negation is outside a quantifier or an expression involving logical connectives) The translations are graded for fair effort completeness. For negations: You do not need to justify your work for this part of the question. However, if you include correct intermediate steps, we might be able to award partial credit for an incorrect answer. i. First statement: VnEN E R4 X R4 (d1,4(t) = n) ii. Second statement: Vt R4 x R4 Vt2 R4 x R4 ( -(t1 = t2) +-(d2,4(+1) = d2,4(+2)))