Abstract
We present a proof procedure that is complete for first-order logic, but which can also be used when searching for finite models. The procedure uses a normal form which is based on geometric formulas. For this reason we call the procedure geometric resolution. We expect that the procedure can be used as an efficient proof search procedure for first-order logic. In addition, the procedure can be implemented in such a way that it is complete for finding finite models.
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de Nivelle, H., Meng, J. (2006). Geometric Resolution: A Proof Procedure Based on Finite Model Search. In: Furbach, U., Shankar, N. (eds) Automated Reasoning. IJCAR 2006. Lecture Notes in Computer Science(), vol 4130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11814771_28
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DOI: https://doi.org/10.1007/11814771_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-37187-8
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