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Transcript
Predicates and Quantifiers
Nested Quantifiers
Using Predicate Calculus
Nested Quantifiers
Translating from Nested Quantifiers into English
Let C(x) denote “x has a computer” and F (x, y) be “x and y are
friends.”, and the domain be all students in your school.
Translate:
1
∀x(C(x) ∨ ∃y(C(y) ∧ F (x, y)).
2
∃x∀y∀z((F (x, y) ∧ F (x, z) ∧ (y 6= z)) → ¬F (y, z))
CSI2101 Discrete Structures Winter 2010: Predicate Logic
Lucia Moura