Abstract
We prove the refutation completeness of restricted versions of resolution and paramodulation for first-order predicate logic with equality. Furthermore, we show that these inference rules can be combined with various deletion and simplification rules, such as rewriting, without compromising refutation completeness. The techniques employed in the completeness proofs are based on proof normalization and proof orderings.
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Bachmair, L. (1989). Proof normalization for resolution and paramodulation. In: Dershowitz, N. (eds) Rewriting Techniques and Applications. RTA 1989. Lecture Notes in Computer Science, vol 355. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51081-8_97
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DOI: https://doi.org/10.1007/3-540-51081-8_97
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