The Concept of Demodulation in Theorem Proving
Journal of the ACM (JACM)
Symbolic Logic and Mechanical Theorem Proving
Symbolic Logic and Mechanical Theorem Proving
The Automation of Proof: A Historical and Sociological Exploration
IEEE Annals of the History of Computing
Genetic Reasoning: Evolutionary Induction of Mathematical Proofs
Proceedings of the Second European Workshop on Genetic Programming
ACM SIGSOFT Software Engineering Notes - Proceedings of VERkshop III -- a formal verification workshop
AFIPS '81 Proceedings of the May 4-7, 1981, national computer conference
Automated reasoning: real uses and potential uses
IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 2
Hi-index | 0.01 |
The thrust of this paper is: first, to answer certain previously unanswered questions in the field of Ternary Boolean algebra; second, to describe the method, utilizing an automated theorem-proving program as an invaluable aid, by which these answers were obtained; and third, to informally give the characteristics of those problems to which the method can be successfully applied. The approach under study begins with known facts in the form of axioms and lemmas of the field being investigated, finds by means of certain specified inference rules new facts, and continues to reason from the expanding set of facts until the problem at hand is solved or the procedure is interrupted. The solution often takes the form of a finite model or of a counterexample to the underlying conjecture. The model and/or counterexample is generated with the aid of an already existing automated theorem-proving procedure and without any recourse to any additional programming.