A Method of Deductive Logical Inference Proofs
Maher A. Nabulsi and Ayman M. Abdalla Department of Computer Science, Al-Zaytoonah University of Jordan, Amman 11733, Jordan
Abstract: A method of proof is presented and used in proving theorems in logic and set theory. Many commonly used methods of proof are rigid and not easy to apply in proving different theorems. This study deductively draws conclusions from rules of logical inference and then, it generalizes the deduction methods to be applied to logic and set theory. Then, it shows how this method of logical inference can be used to prove implications involving conjunction or disjunction of premises and to prove some identities in set theory involving implication or containment.