LLM Routing as Reasoning: A MaxSAT View

Fuente: arXiv
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Autori principali: Nguyen, Son, Liu, Xinyuan, Senanayake, Ransalu
Natura: Preprint
Pubblicazione: 2026
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author Nguyen, Son
Liu, Xinyuan
Senanayake, Ransalu
author_facet Nguyen, Son
Liu, Xinyuan
Senanayake, Ransalu
contents Routing a query through an appropriate LLM is challenging, particularly when user preferences are expressed in natural language and model attributes are only partially observable. We propose a constraint-based interpretation of language-conditioned LLM routing, formulating it as a weighted MaxSAT/MaxSMT problem in which natural language feedback induces hard and soft constraints over model attributes. Under this view, routing corresponds to selecting models that approximately maximize satisfaction of feedback-conditioned clauses. Empirical analysis on a 25-model benchmark shows that language feedback produces near-feasible recommendation sets, while no-feedback scenarios reveal systematic priors. Our results suggest that LLM routing can be understood as structured constraint optimization under language-conditioned preferences.
format Preprint
id arxiv_https___arxiv_org_abs_2603_13612
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle LLM Routing as Reasoning: A MaxSAT View
Nguyen, Son
Liu, Xinyuan
Senanayake, Ransalu
Artificial Intelligence
Routing a query through an appropriate LLM is challenging, particularly when user preferences are expressed in natural language and model attributes are only partially observable. We propose a constraint-based interpretation of language-conditioned LLM routing, formulating it as a weighted MaxSAT/MaxSMT problem in which natural language feedback induces hard and soft constraints over model attributes. Under this view, routing corresponds to selecting models that approximately maximize satisfaction of feedback-conditioned clauses. Empirical analysis on a 25-model benchmark shows that language feedback produces near-feasible recommendation sets, while no-feedback scenarios reveal systematic priors. Our results suggest that LLM routing can be understood as structured constraint optimization under language-conditioned preferences.
title LLM Routing as Reasoning: A MaxSAT View
topic Artificial Intelligence
url https://arxiv.org/abs/2603.13612