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» Continuity and Discontinuity in Lambda Calculus
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TLCA
2005
Springer
13 years 10 months ago
Continuity and Discontinuity in Lambda Calculus
This paper studies continuity of the normal form and the context operators as functions in the infinitary lambda calculus. We consider the Scott topology on the cpo of the finite...
Paula Severi, Fer-Jan de Vries
APLAS
2001
ACM
13 years 8 months ago
Linearly Used Effects: Monadic and CPS Transformations into the Linear Lambda Calculus
Abstract. We propose a semantic and syntactic framework for modelling linearly used effects, by giving the monadic transforms of the computational lambda calculus (considered as th...
Masahito Hasegawa
CCA
2005
Springer
13 years 10 months ago
A Lambda Calculus for Real Analysis
Abstract Stone Duality is a revolutionary theory that works directly with computable continuous functions, without using set theory, infinitary lattice theory or a prior theory o...
Paul Taylor 0002
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
POPL
2009
ACM
14 years 5 months ago
Lazy evaluation and delimited control
The call-by-need lambda calculus provides an equational framework for reasoning syntactically about lazy evaluation. This paper examines its operational characteristics. By a seri...
Ronald Garcia, Andrew Lumsdaine, Amr Sabry