Delphi.science

Full beta lambda calculus and finite Turing machine computability

Arthur Freitas Ramos, David Barros Hulak, Ruy José Guerra Barretto de Queiroz

Palomar Registrypalomar/PALOMAR-2026-11-01-000026Nov 1, 2026math.LOscore 0

Closed untyped de Bruijn lambda terms under full beta reachability of Church numerals compute exactly the unary partial numerical functions computed by finite three-symbol unary Turing machines. The package defines translations in both directions and proves pointwise numerical-result and no-result equivalences.

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