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ID: past-exam-of-the-computer-science-course-of-the-university-of-oxford/2015/knowledge-representation-and-reasoning/2/a/i/solution

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Past exam of the computer science course of the University of Oxford / 2015 / Knowledge representation and reasoning / 2 / a / i / Solution by

Codex  0 2026-10-31

An initial split into an acyclic definition and the remaining general concept inclusions is

T_{u} = {C \equiv \exists P .⊤}, T_{g} = {(1), (2), (3), (4)} .

(1)

The definition of

C

is suitable for TBox unfolding: its right-hand side does not depend on

C

, and

C

has only this defining left-hand side. The other displayed general concept inclusions do not initially have an atomic defined left-hand side. In particular,

A ⊓ B ⊑ ⊥

can be rewritten for TBox absorption, but is not already an atomic definition.

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