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TOCL
2012
235views Formal Methods» more  TOCL 2012»
11 years 9 months ago
Topological and Simplicial Models of Identity Types
racting these leads us to introduce the notion of a path object category. This is a relatively simple axiomatic framework, which is nonetheless sufficiently strong to allow the con...
Benno van den Berg, Richard Garner
TLCA
2005
Springer
14 years 28 days 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
LPAR
2010
Springer
13 years 5 months ago
Logic and Computation in a Lambda Calculus with Intersection and Union Types
We present an explicitly typed lambda calculus "`a la Church" based on the union and intersection types discipline; this system is the counterpart of the standard type a...
Daniel J. Dougherty, Luigi Liquori
FOSSACS
2004
Springer
14 years 25 days ago
Soft lambda-Calculus: A Language for Polynomial Time Computation
Soft linear logic ([Lafont02]) is a subsystem of linear logic characterizing the class PTIME. We introduce Soft lambda-calculus as a calculus typable in the intuitionistic and affi...
Patrick Baillot, Virgile Mogbil
CORR
2006
Springer
99views Education» more  CORR 2006»
13 years 7 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