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ENTCS
2000
109views more  ENTCS 2000»
13 years 9 months ago
Forward and Backward Chaining in Linear Logic
Abstract. Logic programming languages based on linear logic are of both theoretical and practical interest, particulaly because such languages can be seen as providing a logical ba...
James Harland, David J. Pym, Michael Winikoff
AML
2005
84views more  AML 2005»
13 years 9 months ago
Modularity of proof-nets
When we cut a multiplicative proof-net of linear logic in two parts we get two modules with a certain border. We call pretype of a module the set of partitions over its border indu...
Roberto Maieli, Quintijn Puite
ENTCS
2006
146views more  ENTCS 2006»
13 years 9 months ago
Relating State-Based and Process-Based Concurrency through Linear Logic
This paper has the purpose of reviewing some of the established relationships between logic and concurrency, and of exploring new ones. Concurrent and distributed systems are noto...
Iliano Cervesato, Andre Scedrov
ENTCS
2006
141views more  ENTCS 2006»
13 years 9 months ago
A Concurrent Model for Linear Logic
We build a realizability model for linear logic using a name-passing process calculus. The construction is based on testing semantics for processes, drawing ideas from spatial and...
Emmanuel Beffara
ENTCS
2008
102views more  ENTCS 2008»
13 years 9 months ago
Soft Linear Logic and Polynomial Complexity Classes
We describe some results inspired to Lafont's Soft Linear Logic (SLL) which is a subsystem of second-order linear logic with restricted rules for exponentials, correct and co...
Marco Gaboardi, Jean-Yves Marion, Simona Ronchi De...
ENTCS
2010
105views more  ENTCS 2010»
13 years 9 months ago
From Focalization of Logic to the Logic of Focalization
Focalization property is a deep outcome of linear logic proof theory, putting to the foreground the role of polarity in logic. It resulted an important advances in various fields, ...
Michele Basaldella, Alexis Saurin, Kazushige Terui
CORR
2010
Springer
71views Education» more  CORR 2010»
13 years 9 months ago
The relational model is injective for Multiplicative Exponential Linear Logic (without weakenings)
We show that for Multiplicative Exponential Linear Logic (without weakenings) the syntactical equivalence relation on proofs induced by cut-elimination coincides with the semantic ...
Daniel de Carvalho, Lorenzo Tortora de Falco
CORR
2010
Springer
139views Education» more  CORR 2010»
13 years 9 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
APAL
2007
99views more  APAL 2007»
13 years 9 months ago
A categorical semantics for polarized MALL
In this paper, we present a categorical model for Multiplicative Additive Polarized Linear Logic MALLP, which is the linear fragment (without structural rules) of Olivier Laurentâ...
Masahiro Hamano, Philip J. Scott
APAL
2010
111views more  APAL 2010»
13 years 9 months ago
Resource modalities in tensor logic
The description of resources in game semantics has never achieved the simplicity and precision of linear logic, because of the misleading conception that linear logic is more prim...
Paul-André Melliès, Nicolas Tabareau