# Sheet3 - McMaster University Department of Computing and...

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Unformatted text preview: McMaster University Department of Computing and Software Dr. W. Kahl COMP SCI 1FC3 Exercise Sheet 3 COMP SCI 1FC3 — Mathematics for Computing 23 January 2009 Exercise 3.1 — Predicates, formal and English Let L ( s , c ) mean that student s likes cuisine c , where the domain for s consists of all students at McMaster, and the domain for c consists of all cuisines. Express each of the following statements by a simple English sentence: (a) ¬ L ( Saïd , Japanese ) (b) ∃ s ( L ( s , Korean )) ∧ ∀ s ( L ( s , Mexican )) (c) ∃ z ( L ( John Wang , z ) ∧ ( L ( Kiko Arsenault , z ))) (d) ∀ x ∀ y ∃ c (( x = / y ) → ¬( L ( x , c ) ∧ L ( y , c ))) (e) ∃ x ∃ y ∀ c ( L ( x , c ) ↔ L ( y , c )) (f) ∀ x ∀ y ∃ c ( L ( x , c ) ↔ L ( y , c )) Exercise 3.2 — Predicates, formal and English Let F ( x , y ) be the statement “ x can fool y ”, where the domain consists of all people in the world. Use quantifiers to express each of the following statements. (a) Everybody can fool Fred. (b) Evelyn can fool everybody. (c) Everybody can fool somebody....
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## This note was uploaded on 03/26/2011 for the course CS 1fc3 taught by Professor Kahl during the Spring '11 term at McMaster University.

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Sheet3 - McMaster University Department of Computing and...

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