The $K_\infty$ Homotopy $λ$-Model

Published 11 May 2025 in cs.LO | (2505.07103v2)

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 $\beta\eta$-conversions of $\lambda$-terms.

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