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TCS
2011
7 years 10 months ago
Correctness of linear logic proof structures is NL-complete
We provide new correctness criteria for all fragments (multiplicative, exponential, additive) of linear logic. We use these criteria for proving that deciding the correctness of a...
Paulin Jacobé de Naurois, Virgile Mogbil
TCS
2011
7 years 10 months ago
Musings around the geometry of interaction, and coherence
We introduce the Danos-Régnier category
Jean Goubault-Larrecq
ENTCS
2011
129views more  ENTCS 2011»
7 years 10 months ago
Specifying Proof Systems in Linear Logic with Subexponentials
In the past years, linear logic has been successfully used as a general logical framework for encoding proof systems. Due to linear logic’s finer control on structural rules, i...
Vivek Nigam, Elaine Pimentel, Giselle Reis
PPDP
2010
Springer
8 years 1 months ago
Type inference in intuitionistic linear logic
We study the type checking and type inference problems for intuitionistic linear logic: given a System F typed λ-term, (i) for an alleged linear logic type, determine whether the...
Patrick Baillot, Martin Hofmann
LICS
2010
IEEE
8 years 1 months ago
Polarity and the Logic of Delimited Continuations
Abstract—Polarized logic is the logic of values and continuations, and their interaction through continuation-passing style. The main limitations of this logic are the limitation...
Noam Zeilberger
JAR
2010
123views more  JAR 2010»
8 years 1 months ago
A Framework for Proof Systems
Meta-logics and type systems based on intuitionistic logic are commonly used for specifying natural deduction proof systems. We shall show here that linear logic can be used as a m...
Vivek Nigam, Dale Miller
TCS
2002
8 years 3 months ago
The continuum as a final coalgebra
oole.stanford.edu/pub/ABSTRACTS Pratt, V.R., "Transition and Cancellation in Concurrency and Branching Time", Math. Structures in Comp. Sci., 13:4, 485-529, August 2003. ...
Dusko Pavlovic, Vaughan R. Pratt
IGPL
1998
127views more  IGPL 1998»
8 years 3 months ago
An Analysis of (Linear) Exponentials Based on Extended Sequents
We apply the 2-sequents approach to the analysis of several calculi derived from linear logic. We present a uniform formal system for Linear Logic, Elementary Linear Logic and Lig...
Stefano Guerrini, Simone Martini, Andrea Masini
JSYML
2000
110views more  JSYML 2000»
8 years 3 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...
GRAMMARS
2000
97views more  GRAMMARS 2000»
8 years 3 months ago
Proof-Nets, Hybrid Logics and Minimalist Representations
Inthis paper, we aim at giving alogical account of the representationalist view on minimalist grammars by refering to the notion of Proof-Net in Linear Logic. We propose at the sam...
Alain Lecomte
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