STCOR: A Trilevel Syllogism-Driven Reasoning Framework

Keying Yang, Hao Wang, Chengtao Jian, Kai Yang


Abstract
Inspired by the human expert thinking paradigm in operations research, this work introduces a new concept of reasoning tasks: Textual Constrained Optimization (TCO) problems. A TCO problem is characterized by a natural language description that implicitly specifies an underlying structured model with variables, constraints, and objectives. We propose a novel Syllogism-driven Textual Constrained Optimization Reasoning (STCOR) paradigm, driven by classical syllogistic logic. Unlike contemporary stepwise methods, our framework structures reasoning into three phases: meta-modeling, which acts as the major premise by retrieving a relevant class-driven prototype template; formalization, which serves as the minor premise by instantiating the template into an explicit logical model from textual queries; and solving, which derives the final answer as conclusion. To support the end-to-end implementation, we further develop a tri-level optimization algorithm TriRL.
Anthology ID:
2026.argmining-1.1
Volume:
Proceedings of the 13th Workshop on Argument Mining and Reasoning
Month:
July
Year:
2026
Address:
San Diego, California, USA
Editors:
Mohamed Elaraby, Annette Hautli-Janisz, Julia Romberg, Elena Musi, Federico Ruggeri, John Lawrence
Venues:
ArgMining | WS
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Publisher:
Association for Computational Linguistics
Note:
Pages:
1–4
Language:
URL:
https://preview.aclanthology.org/ingest-acl-workshops/2026.argmining-1.1/
DOI:
Bibkey:
Cite (ACL):
Keying Yang, Hao Wang, Chengtao Jian, and Kai Yang. 2026. STCOR: A Trilevel Syllogism-Driven Reasoning Framework. In Proceedings of the 13th Workshop on Argument Mining and Reasoning, pages 1–4, San Diego, California, USA. Association for Computational Linguistics.
Cite (Informal):
STCOR: A Trilevel Syllogism-Driven Reasoning Framework (Yang et al., ArgMining 2026)
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PDF:
https://preview.aclanthology.org/ingest-acl-workshops/2026.argmining-1.1.pdf