Subsumption and Refinement in Model Inference

Abstract

In his famous Model Inference System, Shapiro [10] uses socalled refinement operators to replace too general hypotheses by logically weaker ones. One of these refinement operators works in the search space of reduced first order sentences. In this article we show that this operator is not complete for reduced sentences, as he claims. We investigate the relations between subsumption and refinement as well as the role of a complexity measure. We present an inverse reduction algorithm which is used in a new refinement operator. This operator is complete for reduced sentences. Finally, we will relate our new refinement operator with its dual, a generalization operator, and its possible application in model inference using inverse resolution.

Cite

Text

van der Laag and Nienhuys-Cheng. "Subsumption and Refinement in Model Inference." European Conference on Machine Learning, 1993. doi:10.1007/3-540-56602-3_130

Markdown

[van der Laag and Nienhuys-Cheng. "Subsumption and Refinement in Model Inference." European Conference on Machine Learning, 1993.](https://mlanthology.org/ecmlpkdd/1993/vanderlaag1993ecml-subsumption/) doi:10.1007/3-540-56602-3_130

BibTeX

@inproceedings{vanderlaag1993ecml-subsumption,
  title     = {{Subsumption and Refinement in Model Inference}},
  author    = {van der Laag, Patrick R. J. and Nienhuys-Cheng, Shan-Hwei},
  booktitle = {European Conference on Machine Learning},
  year      = {1993},
  pages     = {95-114},
  doi       = {10.1007/3-540-56602-3_130},
  url       = {https://mlanthology.org/ecmlpkdd/1993/vanderlaag1993ecml-subsumption/}
}