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arxiv: 1902.09900 · v1 · pith:35JFT6MMnew · submitted 2019-02-26 · 💻 cs.LO

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

classification 💻 cs.LO
keywords sld-resolutionfragmentshornlogicproblemreductionsecond-orderapplications
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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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