New Results and Techniques in Resolution Theory

Authors:
L. Yelowitz;A. Kandel
Affiliations:
Department of Computer Science, University of Pittsburgh;-
Venue:
IEEE Transactions on Computers
Year:
1976

Citing 3
Cited 0

A Machine-Oriented Logic Based on the Resolution Principle

Journal of the ACM (JACM)
Symbolic Logic and Mechanical Theorem Proving

Symbolic Logic and Mechanical Theorem Proving
Problem-Solving Methods in Artificial Intelligence

Problem-Solving Methods in Artificial Intelligence

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Abstract

A concise matrix notation is introduced, leading to a very simple statement of the resolution principle of mechanical theorem proving in the propositional calculus. The refinements of general resolution can also be stated easily using this notation. In addition, the notation has lead to the development of three new techniques of theorem proving which are described and proved complete.