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For problems 3–4, let the universe of discourse be the set of all webpages. Let

ID: 3147996 • Letter: F

Question

For problems 3–4, let the universe of discourse be the set of all webpages. Let W, B, and G be unary predicates, let L be a binary predicate, and use the following translations: W(x) means “x is W3C-compliant”, B(x) means “x is a blog, G(x) means “x is indexed by Google”, and L(x) means “x links to y.” Translate the following sentences into predicate logic formulas.

(h) Every webpage links to some W3C-compliant page.

(i) Every W3C-compliant page links to some page.

(j) Every W3C-compliant page links to some blog.

Explanation / Answer

h) there exist a x such that x is not even

i) for all x, if x is not even then x has two digits

j) there does not exist any x such that x is positive and x has two digits.