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HOMbeta
SSTS01
toHOMbeta
resulting inundecidable HOMbeta
The reduction is quite different from the known technique by Loader [1].
It is based on the technique used for intersection type inhabitation, see
IntersectionTypes/Reductions/SSTS01_to_CD_INH.v
, sharing a common seed. A write up for a potential publication is in progress.[1] Loader, Ralph. "Higher order β-matching is undecidable." Logic Journal of the IGPL 11.1 (2003): 51-68.