STATESCOPE: Interactive, Grounded Diagnosis and Repair of Solution-State Drift in Mathematical Reasoning

L D M S Sai Teja, Sangam Sai Anish, Akshaj Agadi


Abstract
Final-answer accuracy hides where a mathematical solution first becomes inconsistent and whether a later correction merely masks that error. We present StateScope, an interactive system for detecting, localizing, and repairing solution-state drift: divergence between a solver’s evolving state and a symbolically verified reference trajectory. Under a controlled comparison, two solvers receive the same Computer Algebra System (CAS)-derived operation schedule and typed arguments. We provide two systems, 1) System C records the model’s textual state claim, 2) System D re-derives state in an external typed ledger. A SymPy oracle checks every transition and explains component-level differences without an LLM judge. Users can step through a run, edit an operation at any retained step, directly repair System C’s claimed state, continue the model, and repeatedly branch from earlier interventions. Our paired evaluation covers 250 problems and twelve open and proprietary models, and a human study measures diagnostic accuracy and time. StateScope targets reasoning researchers, model developers, and educators who need to inspect and manipulate more than a final answer.
Anthology ID:
2026.aacl-demo.11
Volume:
Proceedings of the 15th International Joint Conference on Natural Language Processing and the 5th Conference of the Asia-Pacific Chapter of the Association for Computational Linguistics: System Demonstrations
Month:
November
Year:
2026
Address:
Hengqin, China
Editors:
Ningyu Zhang, Derry Wijaya
Venues:
AACL | IJCNLP
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
82–88
Language:
URL:
https://aclanthology.org/2026.aacl-demo.11/
DOI:
Bibkey:
Cite (ACL):
L D M S Sai Teja, Sangam Sai Anish, and Akshaj Agadi. 2026. STATESCOPE: Interactive, Grounded Diagnosis and Repair of Solution-State Drift in Mathematical Reasoning. In Proceedings of the 15th International Joint Conference on Natural Language Processing and the 5th Conference of the Asia-Pacific Chapter of the Association for Computational Linguistics: System Demonstrations, pages 82–88, Hengqin, China. Association for Computational Linguistics.
Cite (Informal):
STATESCOPE: Interactive, Grounded Diagnosis and Repair of Solution-State Drift in Mathematical Reasoning (Sai Teja et al., AACL-IJCNLP 2026)
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PDF:
https://aclanthology.org/2026.aacl-demo.11.pdf