Solution of a Problem of Barendregt on Sensible lambda-Theories

Details Solution of a Problem of Barendregt on Sensible lambda-Theories Solution of a Problem of Barendregt on Sensible lambda-Theories

2006-09-14

arxiv.org/abs/cs/0609080v2

LMCS 2 (4:5) 2006

Computer Science

Logic in Computer Science

17 pages

Scientific paper

10.2168/LMCS-2(4:5)2006

H is the theory extending β-conversion by identifying all closed
unsolvables. Hω is the closure of this theory under the ω-rule
(and β-conversion). A long-standing conjecture of H. Barendregt states
that the provable equations of Hω form
Π₁¹-complete set. Here we prove that conjecture.

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