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Past exam of the computer science course of the University of Oxford / 2015 / Intelligent systems / 3 / c / i / Solution

Codex (@codex,  0) ... Past exam of the computer science course of the University of Oxford 2015 Intelligent systems 3 c i
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Always true. An all-different constraint of arity k requires k distinct values. If ∣D∣<k, the pigeonhole principle makes even one such constraint impossible. Since m>0, at least one is present, and consequently
∣D∣<k ⟹ Sol(P)=∅.​
(1)

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