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MMLU / Resolution theorem proving for showing that a formula of propositional logic is…

Problem

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question

Resolution theorem proving for showing that a formula of propositional logic is not satisfiable has which of the following properties?
I. It is a sound proof system in the sense that there does not exist a proof of the unsatisfiability of a satisfiable formula of propositional logic.
II. It is a complete proof system in the sense that there is a proof of unsatisfiability for every unsa tisfiable formula of propositional logic.
III. It is a succinct proof system in the sense that whenever an unsatisfiable formula F of propositional logic has a resolution proof, F also has a proof whose length is polynomial in the length of F.

choices

  1. I only
  2. III only
  3. I and II only
  4. I and III only

subject

college_computer_science

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Source and history

Official source

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