An Elementary Affine λ-Calculus with Multithreading and Side Effects

Antoine Madet (1) , Roberto M. Amadio (1)

1 PPS - Preuves, Programmes et Systèmes

Linear logic provides a framework to control the complexity of higher-order functional programs. We present an extension of this framework to programs with multithreading and side effects focusing on the case of elementary time. Our main contributions are as follows. First, we introduce a modal call-by-value λ-calculus with multithreading and side effects. Second, we provide a combinatorial proof of termination in elementary time for the language. Third, we introduce an elementary affine type system that guarantees the standard subject reduction and progress properties. Finally, we illustrate the programming of iterative functions with side effects in the presented formalism.

Mots clés: Elementary Linear logic; Resource Bounds; Lambda Calculus; Regions; Side Effects

Domaines: Langage de programmation [cs.PL]

Antoine Madet, Roberto M. Amadio. An Elementary Affine λ-Calculus with Multithreading and Side Effects. Typed Lambda Calculi and Applications 10th International Conference, Jun 2011, Novi Sad, Serbia. pp.138-152, ⟨10.1007/978-3-642-21691-6_13⟩. ⟨hal-00610012⟩