Monday, 15 July 2013

Convert First Order Logic to Conjunctive Normal Form -


  • Anyone who is thin, tall and energetic will be a good basketball player

  • Some people are not tall but good players of basketball.

  • Anyone who is eating or eating a healthy diet will be energetic

  • Saman is a thin and tall person who exercises

Task:

  1. Write the above paragraph in the first order logic (FOL).
  2. Convert them to the Convertible General Form (CNF).
  3. Use the method of contradiction to check whether Saman is a good basketball player.

My answer for the part (i)

(1) ∀x thin (x) ∧ long (x) ∧ energetic (x) → good_backetball_player (x) (2) ∃x long (x) ¬ good_basketball_pliler (x) (3) ∀x do_exercise (x) ∨ eat_halth_food (x) → energetic (x) (4) thin (salmon) ∧ long (salmon) ∧ do_exercise (salmon)

Is it correct or not ?? Please tell me the mistake.

In the first three sentences, some brackets will help explain it to the quantifiers you apply in number 2 There are also not even one.

(1) ∀x [thin (x) ∧ long (x) ∧ energetic (x)] fine_basketball_player (x)

(2) ∃x [tall (x) ∧ ¬ good_basketball_player (x)]

(3) ∀x [do_exercise (x) ∨ eat_real_food (x)] → energetic (x)

(4) thin (salmon) ∧ Long (Saman) ∧ Dot_Excel (Saman)


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