HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Finite semantics of polymorphism, complexity and the power of type fixpoints

Abstract : Many applications of denotational semantics, such as higher-order model checking or the complexity of normaliza-tion, rely on finite semantics for monomorphic type systems. We present two constructions of finite semantics for second-order Multiplicative-Additive Linear Logic (MALL2) and study their properties. We apply this to understand the gap in expressive power between MALL2 and its extension with type fixpoints, and to obtain an implicit characterization of regular languages in Elementary Linear Logic. Furthermore, some semantic results established here lay the groundwork for a sequel paper proposing a new approach to sub-polynomial implicit complexity.
Complete list of metadata

Cited literature [53 references]  Display  Hide  Download

Contributor : Lê Thành Dũng Nguyễn Connect in order to contact the contributor
Submitted on : Saturday, January 12, 2019 - 12:05:52 PM
Last modification on : Thursday, October 28, 2021 - 3:42:03 PM
Long-term archiving on: : Saturday, April 13, 2019 - 12:39:40 PM


Files produced by the author(s)


  • HAL Id : hal-01979009, version 1


Lê Thành Dũng Nguyễn, Thomas Seiller, Paolo Pistone, Lorenzo Tortora de Falco. Finite semantics of polymorphism, complexity and the power of type fixpoints. 2019. ⟨hal-01979009⟩



Record views


Files downloads