This framework connects logical systems to topological spaces, suggesting new pathways for applications in AI and verification.
This paper presents a novel framework called Proposition Homology Topology Theory (PHTT), which constructs categorical connections between propositional logical systems and topological spaces via covariant functors. The theory bridges mathematical logic and algebraic topology by representing logical structures through topological homology invariants. It aims to establish a formal foundation for logical reasoning and provides potential pathways for applications in artificial intelligence, quantum semantics, and formal verification.
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Yijie Yang (2026) studied this question.
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