arXiv:2604.09567cs.LOcs.AI2026-04被引 1

用四值逻辑构建强AI机器人知识系统,支持学习与推理中的未知与矛盾。

Neuro-Symbolic Strong-AI Robots with Closed Knowledge Assumption: Learning and Deductions

  • 引入贝尔纳普四值真值格,表示未知与不一致信息
  • 通过闭知识假设实现机器人随经验持续扩展知识
  • 支持悖论推理,增强机器人在复杂逻辑下的智能行为

知识表示形式旨在描述通用概念信息,通常用于构建推理代理的知识库。知识库可视为该代理的信念集合。如同孩童,强人工智能(AGI)机器人需通过输入和经验不断学习,持续提升能力。除了神经网络生成的统计人工智能外,还需将事件的因果性转化为逻辑蕴含的方向性,以实现机器人对人类智能的模拟。通过公理可确保基于逻辑推理的机器人行为具有可控安全性。本文考虑使用四值贝尔纳普双格的真值,其中“未知”为最小值,对应机器人知识库中缺失的事实;这些未知事实不属于知识库,但可通过输入与经验逐步学习并扩展。因此,这一过程可由闭知识假设与本文提供的逻辑推理机制描述。此外,“不一致”真值为双格中的最大值,使强人工智能机器人能够在推理过程中处理不一致信息与悖论(如说谎者悖论)。

原文摘要 · Abstract (English)

Knowledge representation formalisms are aimed to represent general conceptual information and are typically used in the construction of the knowledge base of reasoning agent. A knowledge base can be thought of as representing the beliefs of such an agent. Like a child, a strong-AI (AGI) robot would have to learn through input and experiences, constantly progressing and advancing its abilities over time. Both with statistical AI generated by neural networks we need also the concept of \textsl{causality} of events traduced into directionality of logic entailments and deductions in order to give to robots the emulation of human intelligence. Moreover, by using the axioms we can guarantee the \textsl{controlled security} about robot's actions based on logic inferences. For AGI robots we consider the 4-valued Belnap's bilattice of truth-values with knowledge ordering as well, where the value "unknown" is the bottom value, the sentences with this value are indeed unknown facts, that is, the missed knowledge in the AGI robots. Thus, these unknown facts are not part of the robot's knowledge database, and by learn through input and experiences, the robot's knowledge would be naturally expanded over time. Consequently, this phenomena can be represented by the Closed Knowledge Assumption and Logic Inference provided by this paper. Moreover, the truth-value "inconsistent", which is the top value in the knowledge ordering of Belnap's bilattice, is necessary for strong-AI robots to be able to support such inconsistent information and paradoxes, like Liar paradox, during deduction processes.

强AI逻辑推理知识表示

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