Artificial IntelligenceAIMA Exercises

Complete the following exercises about logical sentences:
1. Translate into *good, natural* English (no $x$s or $y$s!):
$${\forall\,x,y,l\;\;} SpeaksLanguage(x, l) \land SpeaksLanguage(y, l) \implies Understands(x, y) \land Understands(y,x).$$ 2. Explain why this sentence is entailed by the sentence
$${\forall\,x,y,l\;\;} SpeaksLanguage(x, l) \land SpeaksLanguage(y, l) \implies Understands(x, y).$$ 3. Translate into first-order logic the following sentences:
2. Friendship is transitive.
Remember to define all predicates, functions, and constants you use.

Complete the following exercises about logical sentences:
1. Translate into *good, natural* English (no $x$s or $y$s!):
$${\forall\,x,y,l\;\;} SpeaksLanguage(x, l) \land SpeaksLanguage(y, l) \implies Understands(x, y) \land Understands(y,x).$$ 2. Explain why this sentence is entailed by the sentence
$${\forall\,x,y,l\;\;} SpeaksLanguage(x, l) \land SpeaksLanguage(y, l) \implies Understands(x, y).$$ 3. Translate into first-order logic the following sentences: