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arXiv · 1902.09900

SLD-Resolution Reduction of Second-Order Horn Fragments -- technical report --

Sophie Tourret·Andrew Cropper
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Abstract

We present the derivation reduction problem for SLD-resolution, the undecidable problem of finding a finite subset of a set of clauses from which the whole set can be derived using SLD-resolution. We study the reducibility of various fragments of second-order Horn logic with particular applications in Inductive Logic Programming. We also discuss how these results extend to standard resolution.

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Sophie Tourret, Andrew Cropper. 2019-02-26. SLD-Resolution Reduction of Second-Order Horn Fragments -- technical report --. https://arxiv.org/abs/1902.09900

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