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This work introduces a topological framework that integrates propositional logic and homotopy theory, suggesting new deductive methods.
This work introduces Propositional Homotopy Topological Theory (PHTT), a new topological foundation for formal deductive systems. We construct a simplicial complex-based framework to bridge propositional logical reasoning with homotopy theory, encoding deductive steps as homotopy classes of paths. This integration advances the application of algebraic topology in homotopy type theory research.
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Yijie Yang (2026) studied this question.
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