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» On light logics, uniform encodings and polynomial time
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CORR
2004
Springer
123views Education» more  CORR 2004»
13 years 5 months ago
Light types for polynomial time computation in lambda-calculus
We present a polymorphic type system for lambda calculus ensuring that welltyped programs can be executed in polynomial time: dual light affine logic (DLAL). DLAL has a simple typ...
Patrick Baillot, Kazushige Terui
CORR
2006
Springer
99views Education» more  CORR 2006»
13 years 5 months ago
An Embedding of the BSS Model of Computation in Light Affine Lambda-Calculus
This paper brings together two lines of research: implicit characterization of complexity classes by Linear Logic (LL) on the one hand, and computation over an arbitrary ring in t...
Patrick Baillot, Marco Pedicini
CSL
2006
Springer
13 years 9 months ago
Verification of Ptime Reducibility for System F Terms Via Dual Light Affine Logic
In a previous work we introduced Dual Light Affine Logic (DLAL) ([BT04]) as a variant of Light Linear Logic suitable for guaranteeing complexity properties on lambda-calculus terms...
Vincent Atassi, Patrick Baillot, Kazushige Terui
CSR
2008
Springer
13 years 7 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