Consider the following expression: Everyone who is nice to all dogs is loved by somebody. ∀x...

Consider the following expression:

Everyone who is nice to all dogs is loved by somebody.

∀x (∀y dog(y) ⇒ Kind(x,y)) ⇒ (∃y Loves(y,x))

Demonstrate how to convert it to CNF. You should get:
( dog(F(x)) v (Loves(G(x),x)) ^ (~nice(x,F(x)) v Loves(G(x),x))

Step 1: Remove the biconditionals and implications.

Step 2: Move the negations inward.

Step 3: Standardize variables

Step 4: Skolemize

Step 5: Drop universal quantifiers

Step 6: Distribute v over ^

Solutions

Expert Solution

venereology answered 8 months ago

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