First-Order Disjunctive Logic Programming vs Normal Logic Programming

Authors: Yi Zhou

IJCAI 2015 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical In this paper, we study the expressive power of first-order disjunctive logic programming (DLP) and normal logic programming (NLP) under the stable model semantics. We show that, unlike the propositional case, first-order DLP is strictly more expressive than NLP. This result still holds even if auxiliary predicates are allowed, assuming NP = co NP. On the other side, we propose a partial translation from first-order DLP to NLP via unfolding and shifting, which suggests a sound yet incomplete approach to implement DLP via NLP solvers. We also identify some NLP definable subclasses, and conjecture to exactly capture NLP definability by unfolding and shifting.
Researcher Affiliation Academia Yi Zhou Artificial Intelligence Research Group School of Computing, Engineering and Mathematics University of Western Sydney, NSW, Australia
Pseudocode No The information is insufficient. The paper does not contain any structured pseudocode or algorithm blocks.
Open Source Code No The information is insufficient. The paper does not contain any statement about making source code publicly available.
Open Datasets No The information is insufficient. This is a theoretical paper and does not involve empirical experiments with datasets or provide access information for any.
Dataset Splits No The information is insufficient. This is a theoretical paper and does not describe dataset splits for training, validation, or testing.
Hardware Specification No The information is insufficient. This is a theoretical paper and does not describe hardware specifications for experiments.
Software Dependencies No The information is insufficient. This is a theoretical paper and does not list specific software dependencies with version numbers.
Experiment Setup No The information is insufficient. This is a theoretical paper and does not detail specific experimental setups or hyperparameters.