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TLCA
1993
Springer
13 years 9 months ago
A Logic for Parametric Polymorphism
In this paper we introduce a logic for parametric polymorphism. Just as LCF is a logic for the simply-typed λ-calculus with recursion and arithmetic, our logic is a logic for Sys...
Gordon D. Plotkin, Martín Abadi
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
ICFP
2012
ACM
11 years 7 months ago
Propositions as sessions
Continuing a line of work by Abramsky (1994), by Bellin and Scott (1994), and by Caires and Pfenning (2010), among others, this paper presents CP, a calculus in which propositions...
Philip Wadler
CORR
2004
Springer
123views Education» more  CORR 2004»
13 years 5 months ago
Light types for polynomial time computation in lambda-calculus
We present a polymorphic type system for lambda calculus ensuring that welltyped programs can be executed in polynomial time: dual light affine logic (DLAL). DLAL has a simple typ...
Patrick Baillot, Kazushige Terui
TLCA
2007
Springer
13 years 11 months ago
Embedding Pure Type Systems in the Lambda-Pi-Calculus Modulo
The lambda-Pi-calculus allows to express proofs of minimal predicate logic. It can be extended, in a very simple way, by adding computation rules. This leads to the lambda-Pi-calcu...
Denis Cousineau 0002, Gilles Dowek