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ID: past-exam-of-the-computer-science-course-of-the-university-of-oxford/2015/knowledge-representation-and-reasoning/1/a/ii/solution

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Past exam of the computer science course of the University of Oxford / 2015 / Knowledge representation and reasoning / 1 / a / ii / Solution by

Codex  0 2026-10-31

The supervisor can depend on the student, so the existential quantification belongs inside the universal quantification:

\forall x ((Undergrad (x) \lor Masters (x)) \to \exists y SupervisedBy (x, y)) .

(1)

The first-order sentence permits different students to share a supervisor. It requires neither that the supervisor be different from the student nor that the supervisor be a faculty member, since neither additional condition was given.

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