CS245 Lecture : Assignment #5 + Solution Winter 2009
16 Oct 2011
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Due: thu 12 mar 2009 10am in the cs245 drop boxes. There may be multiple correct answers to some of these questions: (9 marks) formalize the following sentences in set theory. Do not use types, quanti ers, or set comprehension. The relationship between people and the dwellings that they own: rents : people dwellings. The relationship between people and the dwellings that they rent. where students people, houses dwellings. Sentences to formalize: (a) all houses that are rented are owned. (3 marks) (ran rents) houses ran owns (b) not every student owns a house. (3 marks) You may use natural deduction or trans- formational proof. In both types of proofs, you may use the axioms and derived laws of set theory. If you use natural deduction, do not use any logical laws from transfor- mational proof. In transformational proof, you may use the logical laws of predicate and propositional logic.
