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» A Term Calculus for Intuitionistic Linear Logic
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TLCA
2005
Springer
14 years 1 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
LPAR
2004
Springer
14 years 27 days ago
The Inverse Method for the Logic of Bunched Implications
Abstract. The inverse method, due to Maslov, is a forward theorem proving method for cut-free sequent calculi that relies on the subformula property. The Logic of Bunched Implicati...
Kevin Donnelly, Tyler Gibson, Neel Krishnaswami, S...
ICFP
2005
ACM
14 years 7 months ago
Translating specifications from nominal logic to CIC with the theory of contexts
We study the relation between Nominal Logic and the Theory of Contexts, two approaches for specifying and reasoning about datatypes with binders. We consider a natural-deduction s...
Marino Miculan, Ivan Scagnetto, Furio Honsell
CORR
2010
Springer
139views Education» more  CORR 2010»
13 years 7 months ago
A finiteness structure on resource terms
In our paper "Uniformity and the Taylor expansion of ordinary lambda-terms" (with Laurent Regnier), we studied a translation of lambda-terms as infinite linear combinati...
Thomas Ehrhard
JSYML
2000
110views more  JSYML 2000»
13 years 7 months ago
Basic Logic: Reflection, Symmetry, Visibility
We introduce a sequent calculus B for a new logic, named basic logic. The aim of basic logic is to find a structure in the space of logics. Classical, intuitionistic, quantum and ...
Giovanni Sambin, Giulia Battilotti, Claudia Faggia...