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» Proof nets sequentialisation in multiplicative linear logic
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CSL
2010
Springer
13 years 8 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
CADE
1997
Springer
13 years 11 months ago
Connection-Based Proof Construction in Linear Logic
We present a matrix characterization of logical validity in the multiplicative fragment of linear logic. On this basis we develop a matrix-based proof search procedure for this fra...
Christoph Kreitz, Heiko Mantel, Jens Otten, Stepha...
CSR
2008
Springer
13 years 9 months ago
A Semantic Proof of Polytime Soundness of Light Affine Logic
We define a denotational semantics for Light Affine Logic (LAL) which has the property that denotations of functions are polynomial time computable by construction of the model. Th...
Ugo Dal Lago, Martin Hofmann
CORR
2010
Springer
71views Education» more  CORR 2010»
13 years 7 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
COLING
2000
13 years 9 months ago
Generation, Lambek Calculus, Montague's Semantics and Semantic Proof Nets
Most of the studies in the framework of Lambek calculus have considered the parsing process and ignored the generation process. This paper wants to rely on the close link between ...
Sylvain Pogodalla