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Title: Structured Abductive-Deductive-Inductive Reasoning for LLMs via Algebraic Invariants
Source: http://arxiv.org/abs/2604.15727v1
Summary:
This paper introduces a symbolic reasoning scaffold that operationalizes tripartite inference (abduction, deduction, induction) to enforce logical consistency in LLMs. By using algebraic invariants like the "Weakest Link" bound, it provides a foundational mechanism to prevent error propagation in complex multi-step reasoning chains.
By Yun WuTitle: Structured Abductive-Deductive-Inductive Reasoning for LLMs via Algebraic Invariants
Source: http://arxiv.org/abs/2604.15727v1
Summary:
This paper introduces a symbolic reasoning scaffold that operationalizes tripartite inference (abduction, deduction, induction) to enforce logical consistency in LLMs. By using algebraic invariants like the "Weakest Link" bound, it provides a foundational mechanism to prevent error propagation in complex multi-step reasoning chains.