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  Fixed Point Equations Inside the Algebra of Normal Forms
 
 
Title: Fixed Point Equations Inside the Algebra of Normal Forms
Author: Böhm, Corrado
Appeared in: Fundamenta informaticae
Paging: Volume 37 (2011) nr. 4 pages 329-342
Year: 2011-02-08
Contents: Solutions of the equations X = ZX and X = XZ are found and discussed for Z, X normal terms of the lambda-calculus. Obviously fixed point combinators are of no help. Solutions will be independent from any kind of gödelization or coding of data structures, they will be provided by typeless self-application. Different approaches will be shown: algebraic properties, one side invertibility and idempotency. Certain subsets of proper combinators and Church algebras between them will be proved to be domains consisting only of fixed points of combinators.
Publisher: IOS Press
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

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