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Predicates and Quantifiers Nested Quantifiers Using Predicate Calculus Nested Quantifiers Translating from Nested Quantifiers into English Let C(x) denote âx has a computerâ and F (x, y) be âx and y are friends.â, and the domain be all students in your school. Translate: 1 âx(C(x) ⨠ây(C(y) â§ F (x, y)). 2 âxâyâz((F (x, y) â§ F (x, z) â§ (y 6= z)) â ¬F (y, z)) CSI2101 Discrete Structures Winter 2010: Predicate Logic Lucia Moura