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» Correctness of linear logic proof structures is NL-complete
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TCS
2010
13 years 3 months ago
Strong normalization property for second order linear logic
The paper contains the first complete proof of strong normalization (SN) for full second order linear logic (LL): Girard’s original proof uses a standardization theorem which i...
Michele Pagani, Lorenzo Tortora de Falco
MSCS
2007
117views more  MSCS 2007»
13 years 4 months ago
Proofs, denotational semantics and observational equivalences in Multiplicative Linear Logic
We study full completeness and syntactical separability of MLL proof nets with the mix rule. The general method we use consists first in addressing the two questions in the less ...
Michele Pagani
ENTCS
2011
129views more  ENTCS 2011»
12 years 11 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
CSL
2010
Springer
13 years 5 months ago
Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
Damien Pous
ICLP
2010
Springer
13 years 8 months ago
Focused Proof Search for Linear Logic in the Calculus of Structures
The proof-theoretic approach to logic programming has benefited from the
Nicolas Guenot