On the validity and complexity of bounded resolution
STOC '75 Proceedings of seventh annual ACM symposium on Theory of computing
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We study several procedures for theorem proving based on the resolution principle. We consider (1) Davis Putnam procedure; (2) regular resolution; (3) unrestricted resolution; (4) resolution with extension; and (5) several versions of bounded resolution. The powers of these procedures are compared. Exponential lower bounds are proved for the run-time of some of them.