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» On Proof Nets for Multiplicative Linear Logic with Units
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CSR
2008
Springer
14 years 11 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»
14 years 10 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
14 years 11 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
LICS
2009
IEEE
15 years 4 months ago
The Inverse Taylor Expansion Problem in Linear Logic
Linear Logic is based on the analogy between algebraic linearity (i.e. commutation with sums and scalar products) and the computer science linearity (i.e. calling inputs only once...
Michele Pagani, Christine Tasson
LICS
2008
IEEE
15 years 4 months ago
Correctness of Multiplicative Additive Proof Structures is NL-Complete
We revisit the correctness criterion for the multiplicative additive fragment of linear logic. We prove that deciding the correctness of corresponding proof structures is NLcomple...
Paulin Jacobé de Naurois, Virgile Mogbil