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arXiv · 2505.07103

The $K_\infty$ Homotopy $λ$-Model

Daniel O. Martínez-Rivillas·Ruy J. G. B. de Queiroz
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Abstract

We extend the complete ordered set Dana Scott's $D_\infty$ to a complete weakly ordered Kan complex $K_\infty$, with properties that guarantee the non-equivalence of the interpretation of some higher conversions of $βη$-conversions of $λ$-terms.

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Daniel O. Martínez-Rivillas, Ruy J. G. B. de Queiroz. 2026-04-05. The $K_\infty$ Homotopy $λ$-Model. https://arxiv.org/abs/2505.07103

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