Research Article Open Access

A Method of Deductive Logical Inference Proofs

Maher A. Nabulsi and Ayman M. Abdalla

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.

Journal of Computer Science
Volume 4 No. 4, 2008, 345-348

DOI: https://doi.org/10.3844/jcssp.2008.345.348

Submitted On: 13 July 2008 Published On: 30 April 2008

How to Cite: Nabulsi, M. A. & Abdalla, A. M. (2008). A Method of Deductive Logical Inference Proofs. Journal of Computer Science, 4(4), 345-348. https://doi.org/10.3844/jcssp.2008.345.348

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Keywords

  • Deductive inference
  • conjunction
  • disjunction
  • implication
  • containment
  • method