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Paper · arXiv

A Multi-Stage Rule-Chaining Framework for Compositional and Interpretable Cognitive Reasoning

The Abstraction and Reasoning Corpus (ARC) benchmarks cognitive generalization, the ability to infer and apply abstract rules from limited examples. This paper presents a multi-stage rule-chaining framework that performs compositional reasoning across symbolic, structural, and conceptual levels. The framework integrates three complementary solvers: (1) a deterministic rule discovery module that induces atomic transformations through geometric, color, and object-based analysis; (2) a pattern-composition engine that reconstructs outputs via block merging, repetition, and spatial heuristics; and (3) a structural abstraction layer that infers hierarchical and nested relationships across grids...

AuthorsDeblina Kar
Primary categorycs.AI
Published9 September 2026
Last updated at source9 September 2026
cs.AIcs.LG
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