COS3761 Assignment 2 2023 (ANSWERS)
ASSIGNMENT 2
Please note that this is a written assignment. You need to prepare and submit a document in Word or PDF
format.
Predicates
D(x) x is a degree
M(x, y) x is a major subject of y
L(x, y) x loves y
H(x, y) x hates y
T(x, y) x takes y
Consta...
Translation: There exists a degree x such that x is a major subject of Information Systems.
Question 1.2:
∀x (L(x, c) → T(x, c) ∧ M(c, x))
Translation: For all x, if x loves Computer Science, then x takes it as a major subject of a
degree.
Question 1.3:
∀x (L(x, c) → ¬H(x, i))
Translation: For all x, if x loves Computer Science, then x does not necessarily hate
Information Systems.
Question 1.4:
∃x (T(x, i) ⊕ T(x, c))
Translation: There exists an x such that either x takes Information Systems or x takes
Computer Science, but not both.
(Note: The symbol "⊕" represents exclusive OR, which means one of the statements is
true, but not both.)
Question 1.5:
∃x ∃y (T(x, y) ∧ H(x, y))
Translation: There exist x and y such that x takes y as a subject and x hates y.
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