A Computing Procedure for Quantification Theory
Journal of the ACM (JACM)
A Machine-Oriented Logic Based on the Resolution Principle
Journal of the ACM (JACM)
Efficiency and Completeness of the Set of Support Strategy in Theorem Proving
Journal of the ACM (JACM)
A Proof Procedure Using Connection Graphs
Journal of the ACM (JACM)
Theorem Proving by Covering Expressions
Journal of the ACM (JACM)
Theorem Proving via General Matings
Journal of the ACM (JACM)
Journal of the ACM (JACM)
A Deductive Approach to Program Synthesis
ACM Transactions on Programming Languages and Systems (TOPLAS)
Symbolic Logic and Mechanical Theorem Proving
Symbolic Logic and Mechanical Theorem Proving
A production system for automatic deduction
A production system for automatic deduction
Problems and Experiments for and with Automated Theorem-Proving Programs
IEEE Transactions on Computers
IEEE Transactions on Computers
An Open Research Problem: Strong Completeness of R. Kowalski's Connection Graph Proof Procedure
Computational Logic: Logic Programming and Beyond, Essays in Honour of Robert A. Kowalski, Part II
Path dissolution: a strongly complete rule of inference
AAAI'87 Proceedings of the sixth National conference on Artificial intelligence - Volume 1
Path dissolution: a strongly complete rule of inference
AAAI'87 Proceedings of the sixth National conference on Artificial intelligence - Volume 1
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We introduce a graphical representation of quantifier-free predicate calculus formulas and a new rule of inference which employs this representation. The new rule is an amalgamation of resolution and Prawitz analysis which we call path resolution. Path resolution allows Prawitz analysis of an arbitrary subgraph of the graph representing a formula. If such a subgraph is not large enough to demonstrate a contradiction, a path resolvent of the subgraph may be generated with respect to the entire graph. This generalizes the notions of large inference present in hyper-resolution, clash-resolution, NC-resolution, and PL-resolution. Two forms of path resolution are described for which deletion of the links resolved upon preserves the spanning property.