enter translations of the following English sentences into first-order logic. Yo

ID: 3144364 • Letter: E

Question

enter translations of the following English sentences

into first-order logic. You will only need to use the connectives , , and ¬.

Either a is small or both c and d are large.

d and e are both in back of b.

d and e are both in back of b and larger than it.

Both d and c are cubes, however neither of them is small.

Neither e nor a is to the right of c and to the left of b.

Either e is not large or it is in back of a.

c is neither between a and b, nor in front of either of them.

Either both a and e are tetrahedra or both a and f are.

Neither d nor c is in front of either c or b.

c is either between d and f or smaller than both of them.

It is not the case that b is in the same row as c.

b is in the same column as e, which is in the same row as d, which in turn is in the same column as a.

(According to Chegg policy, only four subquestions will be answered. Please post the remaining in another question)

1. Either a is small or both c and d are large.

p: a is small q: c is large r: d is large

p v (c ^ r)

2. d and e are both in back of b.

p: d is in the back of b q: e is in the back of b.

p ^ q

3. d and e are both in back of b and larger than it.

p: d is in the back of b q: e is in the back of b r: d is larger than b s: e is larger than b

(p ^ q) ^ (r ^ s)

Both d and c are cubes, however neither of them is small.

p: d is a cube q: c is a cube r: d is small s: c is small

(p ^ q) ^ (~r ^ ~s)

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