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» Logic and Computation in a Lambda Calculus with Intersection...
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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
ENTCS
2008
101views more  ENTCS 2008»
13 years 5 months ago
Normalization for the Simply-Typed Lambda-Calculus in Twelf
Normalization for the simply-typed -calculus is proven in Twelf, an implementation of the Edinburgh Logical Framework. Since due to proof-theoretical restrictions Twelf Tait'...
Andreas Abel
FCT
2005
Springer
13 years 10 months ago
A Self-dependency Constraint in the Simply Typed Lambda Calculus
We consider terms of simply typed lambda calculus in which copy of a subterm may not be inserted to the argument of itself during the reduction. The terms form wide class which inc...
Aleksy Schubert
CORR
2006
Springer
99views Education» more  CORR 2006»
13 years 5 months ago
An Embedding of the BSS Model of Computation in Light Affine Lambda-Calculus
This paper brings together two lines of research: implicit characterization of complexity classes by Linear Logic (LL) on the one hand, and computation over an arbitrary ring in t...
Patrick Baillot, Marco Pedicini
TLCA
2005
Springer
13 years 10 months ago
A Lambda Calculus for Quantum Computation with Classical Control
The objective of this paper is to develop a functional programming language for quantum computers. We develop a lambda calculus for the classical control model, following the firs...
Peter Selinger, Benoît Valiron