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COS2661 Assignment 3 2022 [Unique No.: 185140]

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  • July 31, 2021
  • August 30, 2022
  • 16
  • 2020/2021
  • Exam (elaborations)
  • Unknown

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COS2661




Assignment 3




2022




Unique No.: 185140


Due date: 31/08/2022

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Question 1


1.1.
If any bananas are yellow, then some bananas are ripe.



∃x(Banana(x) 𝖠 Yellow(x)) => ∃y(Banana(y) 𝖠 Ripe(y))

Explanation

∃x: Denotes some x or there exists x
𝖠: Denotes conjunction symbol



1.2.
If all ripe bananas are yellow, some yellow things are ripe.



∀x((Banana(x) 𝖠 Ripe(x) => Yellow(x)) => ∃y(Yellow Things(y) 𝖠 Ripe(y))

Explanation:
∀x: Denotes all x
∃y: Denotes some y or there exists y

𝖠: Denotes conjunction symbol

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