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Paper · arXiv

DALM: A Domain-Algebraic Language Model via Three-Phase Structured Generation

Large language models compress heterogeneous knowledge into a single parameter space, allowing facts from different domains to interfere during generation. We propose DALM, a Domain-Algebraic Language Model that replaces unconstrained token generation with structured denoising over a domain lattice. DALM follows a three-phase generation path: it first resolves domain uncertainty, then relation uncertainty, and finally concept uncertainty, so each stage operates under explicit algebraic constraints. The framework requires only three ingredients: a lattice of domains with computable meet, join, and implication; a typing function over relations that controls inheritance across domains; and a...

AuthorsChao Li
Primary categorycs.CL
Published17 April 2026
Last updated at source17 April 2026
cs.CLcs.AI
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