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KR
2010
Springer
13 years 9 months ago
Modelling Combinatorial Auctions in Linear Logic
We show that linear logic can serve as an expressive framework in which to model a rich variety of combinatorial auction mechanisms. Due to its resource-sensitive nature, linear l...
Daniele Porello, Ulle Endriss
CIE
2010
Springer
13 years 9 months ago
Focusing in Asynchronous Games
Game semantics provides an interactive point of view on proofs, which enables one to describe precisely their dynamical behavior during cut elimination, by considering formulas as ...
Samuel Mimram
ICTCS
2003
Springer
13 years 10 months ago
On the Computational Complexity of Cut-Elimination in Linear Logic
Abstract. Given two proofs in a logical system with a confluent cutelimination procedure, the cut-elimination problem (CEP) is to decide whether these proofs reduce to the same no...
Harry G. Mairson, Kazushige Terui
GCC
2003
Springer
13 years 10 months ago
Toward the Composition of Semantic Web Services
This paper introduces a method for automatic composition of semantic web services using linear logic theorem proving. The method uses semantic web service language (DAML-S) for ext...
Jinghai Rao, Xiaomeng Su
LICS
2003
IEEE
13 years 10 months ago
About Translations of Classical Logic into Polarized Linear Logic
We show that the decomposition of Intuitionistic Logic into Linear Logic along the equation ´ may be adapted into a decomposition of classical logic into LLP, the polarized versi...
Olivier Laurent, Laurent Regnier
ICALP
2004
Springer
13 years 10 months ago
A Categorical Model for the Geometry of Interaction
We consider the multiplicative and exponential fragment of linear logic (MELL) and give a Geometry of Interaction (GoI) semantics for it based on unique decomposition categories. ...
Esfandiar Haghverdi, Philip J. Scott
FOSSACS
2004
Springer
13 years 10 months 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
CSL
2005
Springer
13 years 10 months ago
Permutative Logic
Recent work establishes a direct link between the complexity of a linear logic proof in terms of the exchange rule and the topological complexity of its corresponding proof net, ex...
Jean-Marc Andreoli, Gabriele Pulcini, Paul Ruet
WOLLIC
2007
Springer
13 years 11 months ago
Computational Interpretations of Classical Linear Logic
We survey several computational interpretations of classical linear logic based on two-player one-move games. The moves of the games are higherorder functionals in the language of ...
Paulo Oliva
LPAR
2007
Springer
13 years 11 months ago
Permutative Additives and Exponentials
Abstract. Permutative logic (PL) is a noncommutative variant of multiplicative linear logic (MLL) arising from recent investigations concerning the topology of linear proofs. Permu...
Gabriele Pulcini