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Paper · arXiv

NOETHER: A Constructive Framework for Metamorphic Pattern Discovery from Operator Algebras

Context. Metamorphic Testing is recognised in IEEE/ISO software-testing standards and increasingly recommended for AI systems, but its progress is bottlenecked by metamorphic relation (MR) identification: existing approaches (structured frameworks, mining and evolutionary pipelines, LLM-assisted methods, MetaPattern catalogues) share an inductive grounding that leaves three foundational questions open: origin, closure, and transferability. Objective. We propose a framework whose downstream step from program-induced operator algebra to MetaPattern set is mechanical and provable, while the upstream curation of the algebra is a stated empirical hypothesis with explicit scope precondition. Me...

AuthorsMeng Li, Xiaohua Yang, Jie Liu et al.
Primary categorycs.SE
Published17 May 2026
Last updated at source17 May 2026
cs.SEcs.LGcs.LO
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