منابع مشابه
Solution of a Problem of Barendregt on Sensible lambda-Theories
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 a Π11-complete set. Here we prove that conjecture.
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In this paper we give an outline of recent results concerning theories and models of the untyped lambda calculus. Algebraic and topological methods have been applied to study the structure of the lattice of λ-theories, the equational incompleteness of lambda calculus semantics, and the λ-theories induced by graph models of lambda calculus.
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ژورنال
عنوان ژورنال: The Journal of Symbolic Logic
سال: 1978
ISSN: 0022-4812,1943-5886
DOI: 10.2307/2271947