The DOI matches its Crossref record.
Proving Elementary Geometry Theorems Using Wu’s Algorithm
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Even though computer algebra has strong theoretical guarantees, its performance can be limited in practice owing to their large time and space complexity56.”
From Solving olympiad geometry without human demonstrations (2024) · cites this paper as [56]
Citations
Cited by
Sorted by citations
Solving olympiad geometry without human demonstrations
Trinh, T. H., Wu, Y., Le, Q. V., He, H., & Luong, T. (2024) · Nature · doi:10.1038/s41586-023-06747-5 · Cited by 311
Metadata
- Authors
- Chou, S.-C.
- Corresponding author
- Chou, Shang-Ching
- Venue
- Contemporary Mathematics
- Publisher
- American Mathematical Society
- Published
- 1984
- Pages
- 243-286
- ISSN
- 0271-4132 (ISSN-L)
- 1098-3627
- OpenAlex
- W4236039804
- Cited by
- 55
- References
- 0
- Citations by year
- 2025: 1 · 2024: 1 · 2019: 1 · 2018: 1 · 2014: 1 · 2012: 1
- FWCI
- 5.96
- Type
- book chapter
- Language
- en
- Open access
- closed
- Locations
- Contemporary mathematics - American Mathematical Society (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Polynomial and algebraic computation
- Physical Sciences › Mathematics › Geometry and Topology › Mathematics and Applications
- Physical Sciences › Mathematics › Modeling and Simulation › Mathematical and Computational Methods
- Keywords
- elementary geometry, geometric theorem proving, automated reasoning
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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