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MFCS
2010
Springer
13 years 3 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
13 years 8 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
13 years 10 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
DISCO
1992
161views Hardware» more  DISCO 1992»
13 years 8 months ago
Combinatory Models and Symbolic Computation
We introduce an algebraic model of computation which is especially useful for the description of computations in analysis. On one level the model allows the representation of alge...
Karl Aberer
AML
2008
57views more  AML 2008»
13 years 4 months ago
Sheaf toposes for realizability
We compare realizability models over partial combinatory algebras by embedding them into sheaf toposes. We then use the machinery of Grothendieck toposes and geometric morphisms t...
Steven Awodey, Andrej Bauer