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MFCS
2010
Springer
13 years 10 months ago
Resource Combinatory Algebras
Abstract. We initiate a purely algebraic study of Ehrhard and Regnier’s resource λ-calculus, by introducing three equational classes of algebras: resource combinatory algebras, ...
Alberto Carraro, Thomas Ehrhard, Antonino Salibra
LICS
1996
IEEE
14 years 3 months ago
Completing Partial Combinatory Algebras With Unique Head-Normal Forms
In this note, we prove that having unique head-normal forms is a sufficient condition on partial combinatory algebras to be completable. As application,we show that the pca of str...
Inge Bethke, Jan Willem Klop, Roel C. de Vrijer
LICS
2006
IEEE
14 years 5 months ago
Boolean Algebras for Lambda Calculus
In this paper we show that the Stone representation theorem for Boolean algebras can be generalized to combinatory algebras. In every combinatory algebra there is a Boolean algebr...
Giulio Manzonetto, Antonino Salibra