Realization of a geometry-theorem proving machine
Computers & thought
A Machine-Oriented Logic Based on the Resolution Principle
Journal of the ACM (JACM)
Introduction to Mathematical Theory of Computation
Introduction to Mathematical Theory of Computation
Symbolic Logic and Mechanical Theorem Proving
Symbolic Logic and Mechanical Theorem Proving
Automated theorem proving: A logical basis (Fundamental studies in computer science)
Automated theorem proving: A logical basis (Fundamental studies in computer science)
Inference with path resolution and semantic graphs
Journal of the ACM (JACM)
Maintaining state constraints in relational databases: a proof theoretic basis
Journal of the ACM (JACM)
Proceedings of the 2003 ACM symposium on Document engineering
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Properties are proved about INSTANCE, a theorem prover module that recognizes that a formula is a special case and/or an alphabetic variant of another formula, and about INSURER, another theorem prover module that decomposes a problem, represented by a formula, into independent subproblems, using a conjunction. The main result of INSTANCE is soundness; the main result of INSURER is a maximum decomposition into subproblems (with some provisos). Experimental results show that a connection graph theorem prover extended with these modules is more effective than the resolution-based connection graph theorem prover alone.