A reduced front-seed coherence package (WL, WR) plus one pentagon contraction recovers associator, pentagon, and bridge theorems, while explicit coordinatewise reify/reflect formulas are given for K-infinity, all Lean-4 formalized without axioms.
The $K_\infty$ Homotopy $\lambda$-Model
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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 $\beta\eta$-conversions of $\lambda$-terms.
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cs.LO 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
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Recursive Completion in Higher K-Models: Front-Seed Semantics, Proof-Relevant Witnesses, and the K-Infinity Model
A reduced front-seed coherence package (WL, WR) plus one pentagon contraction recovers associator, pentagon, and bridge theorems, while explicit coordinatewise reify/reflect formulas are given for K-infinity, all Lean-4 formalized without axioms.