AI Research

    Determinization in Structure Theories: A Unified Framework via Closure, Comparability, and Joint Admissibility

    A new framework for resolving structural ambiguity and improving reliability in automated reasoning models.

    We develop a formal framework for constructing canonical interpretations from plural structure theories. A structure theory is a triple T = ({\Sigma}, A, I) consisting of a signature, axioms, and an inference policy, whose admissible interpretation family collects all globally co...

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    ArXiv CS.AI

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    This research provides a rigorous mathematical foundation for resolving ambiguity in complex knowledge systems, potentially reducing erroneous inferences in automated reasoning. By classifying non-determinism, the framework offers a roadmap for aligning LLM outputs with consistent logical structures.

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