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definitional inversion 1dependent type theory 1domain theory 1injectivity 1non-normalising systems 1

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cs.LO2026

Definitional Inversion, Without Normalisation

Mario Carneiro, Thierry Coquand, Adrien Frabetti Mathieu +3

The paper presents a domain‑theoretic proof technique that establishes definitional inversion properties (injectivity and no‑confusion) of type constructors in dependent type syste…