Notice: The reproducibility variables underlying each score are classified using an automated LLM-based pipeline, validated against a manually labeled dataset. LLM-based classification introduces uncertainty and potential bias; scores should be interpreted as estimates. Full accuracy metrics and methodology are described in [1].
Qualitative Spatial Logic over 2D Euclidean Spaces Is Not Finitely Axiomatisable
Authors: Heshan Du, Natasha Alechina2776-2783
AAAI 2019 | Venue PDF | LLM Run Details
| Reproducibility Variable | Result | LLM Response |
|---|---|---|
| Research Type | Theoretical | We answer this question negatively by showing that the axiomatisations presented in (Du et al. 2013; Du and Alechina 2016) are not complete for 2D Euclidean spaces and, moreover, the logics are not ๏ฌnitely axiomatisable. |
| Researcher Affiliation | Academia | Heshan Du University of Nottingham Ningbo China Ningbo, China EMAIL Natasha Alechina University of Nottingham Nottingham, UK EMAIL |
| Pseudocode | No | The paper provides formal definitions, axioms, and proofs, but no pseudocode or algorithm blocks are present. |
| Open Source Code | No | The paper mentions using and evaluating third-party tools like Redlog and QEPCAD B, but it does not provide source code for the theoretical work presented in the paper itself. |
| Open Datasets | No | The paper is theoretical and does not involve training models on datasets. The mention of 'geospatial data' refers to the application domain, not experimental data used in this paper. |
| Dataset Splits | No | The paper is theoretical and does not involve empirical validation on datasets, thus no dataset split information for training, validation, or testing is provided. |
| Hardware Specification | Yes | We experimented with Redlog (a part of the computer algebra system Reduce, Free PSL version, revision 4726, 16 August 2018) and QEPCAD B (v.1.69, 16 March 2012) on a 2.4 GHz Intel Core i7, 8 GB 1600 MHz DDR3 Mac Book Pro. |
| Software Dependencies | Yes | We experimented with Redlog (a part of the computer algebra system Reduce, Free PSL version, revision 4726, 16 August 2018) and QEPCAD B (v.1.69, 16 March 2012) on a 2.4 GHz Intel Core i7, 8 GB 1600 MHz DDR3 Mac Book Pro. |
| Experiment Setup | No | The paper describes testing existing tools with a 'simple formula with 3 names' but does not provide specific experimental setup details like hyperparameters, training configurations, or system-level settings for its own research. |