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Higher-order beta-matching #220

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merged 1 commit into from
Jul 15, 2024
Merged

Higher-order beta-matching #220

merged 1 commit into from
Jul 15, 2024

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mrhaandi
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@mrhaandi mrhaandi commented Apr 4, 2024

  • added higher-order matching wrt. beta-equivalence HOMbeta
  • added reduction from SSTS01 to HOMbeta resulting in undecidable 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.

@mrhaandi mrhaandi force-pushed the HO-matching branch 2 times, most recently from 9e8f99c to f0fe3f5 Compare April 22, 2024 13:38
added reduction from SSTS01 to HOMbeta
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I think this looks great, especially the HOMatching.v files is exemplary for clearness of a problem introduction

@mrhaandi mrhaandi merged commit a95accd into uds-psl:master Jul 15, 2024
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2 participants