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All Journal Jurnal Farmasi Galenika (Galenika Journal of Pharmacy) El-Usrah: Jurnal Hukum Keluarga Socius: Social Sciences Research Journal Jurnal Penelitian Pendidikan Islam Journal of Mathematics, Computation and Statistics (JMATHCOS) Jurnal Studi Islam
Muh. Ihsan
Institut Teknologi Bandung
Religion Arts Humanities Biochemistry, Genetics & Molecular Biology Chemistry Economics, Econometrics & Finance Education Health Professions Immunology & microbiology Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Mathematics Medicine & Pharmacology Physics Social Sciences

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Journal : Journal of Mathematics, Computation and Statistics (JMATHCOS)

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A Comparative Performance Evaluation of Copilot, Gemini, and DeepSeek in Understanding Knot Semantic Logic Khaerati, Khaerati; Ja'faruddin, Ja'faruddin; Fadilah, Nur; Aslindawati, Nur; Fadiyah, Wulan Nuf; Ihsan, Muh.
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/7x4cwq80

Abstract

This study examines the ability of three artificial intelligence (AI) models Copilot 3.7 Sonnet, Gemini 1.5, and DeepSeek-R1 to interpret Knot Semantic Logic (KSL), a topological framework emphasizing semantic symmetry in textual structures. A qualitative descriptive design with comparative analysis was employed. Structured prompts tested the models across three stages: basic concept mastery, analysis of symmetrical sentences, and generalization to new inputs. Performance was assessed using five indicators Conceptual Accuracy, Structural Accuracy, Generalization, Consistency, and Narrative Clarity combined into a KSL-AI Index. The results show distinct performance profiles. Copilot produced accessible explanations but lacked structural precision. Gemini demonstrated stability in recognizing semantic symmetry, supported by large-scale multimodal and multilingual training, although its technical style limited accessibility. DeepSeek showed strength in detecting simple patterns and basic logic but was less consistent and struggled with complex generalization tasks. The study validates KSL as an innovative evaluation tool, extending AI assessment beyond narrative fluency to structural semantic reasoning. It concludes that Copilot is best suited for pedagogical use, Gemini for consistent analytical tasks, and DeepSeek for exploratory analysis. Future work should integrate quantitative measures, multimodal testing, and broader model comparisons.
Co-Authors A, Anita Andi Suryadi, A. Mu’thi Anggraeni, Nurliana Anisa, Alya Nur Arbiadi, Muh. Aidil Arifin, Nurul Ainun Aslindawati, Nur Asrianto, Asrianto Darlis, Syamsul Dhiya’uddin Alim, Abdul Fathin Diab, Ashadi l. Dr. Apt. Hamsidar Hasan S.Si.,M.Si Ekaputra, Zeen Fu’ady Fadiyah, Wulan Nuf Fitriani, Farida Hikmah, Suburiah Aan Ja'faruddin, Ja'faruddin Khaerati Khaerati, Khaerati Khasanah, Lutfiana Mansur Mansur Misbahul Munir Muchammad Eka Mahmud, Muchammad Eka Muhammad Taupik Mutiara, Tira Nasution, Yassir Arafat NUR FADILAH Nurislamia, St. Atika Permana, Kiki Putri, Syahfiranti Sari, Eka Dara Jean Retno Sari, Rosita Sitti Nurfaidah, Sitti Wati, Rima