Titlebook: Logic, Meaning and Computation; Essays in Memory of C. Anthony Anderson,Michael Zel?ny Book 2001 Kluwer Academic Publishers 2001 Arithmeti

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The Undecidability of λ-Definabilityf semi-Thue systems as definability problems. It had been thought that λ-definability might be characterized by invariance under logical relations, which would imply the Plotkin-Statman conjecture. We give a relatively simple counterexample to this, using our encoding of word problems.

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The Lambda Calculus and Adjoint Functors, while the remarkable influence of the calculus in computer languages was also noted later. This note is to point out that the Galois connections and this lambda calculus are perhaps the first appearances of an explicit pair of adjoint functors. These functors in general were not found until the work of Daniel Kan in 1958..

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0166-6991 Overview: Includes supplementary material: 978-94-010-3891-1978-94-010-0526-5Series ISSN 0166-6991 Series E-ISSN 2542-8292

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C. Anthony Anderson,Michael Zel?nyIncludes supplementary material: