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MSCS
2000
126views more  MSCS 2000»
14 years 11 months ago
Sequent combinators: a Hilbert system for the lambda calculus
This paper introduces a Hilbert system for lambda calculus called sequent combinators. Sequent combinators address many of the problems of Hilbert systems, which have led to the m...
Healfdene Goguen, Jean Goubault-Larrecq
CCA
2005
Springer
15 years 5 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
CORR
2002
Springer
99views Education» more  CORR 2002»
14 years 11 months ago
Intersection Types and Lambda Theories
We illustrate the use of intersection types as a semantic tool for showing properties of the lattice of -theories. Relying on the notion of easy intersection type theory we succes...
Mariangiola Dezani-Ciancaglini, Stefania Lusin
POPL
2009
ACM
16 years 11 days 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
ENTCS
2002
128views more  ENTCS 2002»
14 years 11 months ago
Rewriting Calculus with(out) Types
The last few years have seen the development of a new calculus which can be considered as an outcome of the last decade of various researches on (higher order) term rewriting syst...
Horatiu Cirstea, Claude Kirchner, Luigi Liquori