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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
CIE
2010
Springer
13 years 10 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
JSYML
2000
110views more  JSYML 2000»
13 years 5 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...
CSL
2007
Springer
13 years 11 months ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin
MSCS
2007
125views more  MSCS 2007»
13 years 4 months ago
On categorical models of classical logic and the Geometry of Interaction
It is well-known that weakening and contraction cause na¨ıve categorical models of the classical sequent calculus to collapse to Boolean lattices. In previous work, summarized b...
Carsten Führmann, David J. Pym