An Elementary affine λ-calculus with multithreading and side effects (extended version)

Abstract : 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 provide a new combinatorial proof of termination in elementary time for the functional case. Second, we develop an extension of the approach to a call-by-value $lambda$-calculus with multithreading and side effects. 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.
Type de document :
Rapport
2011


https://hal.archives-ouvertes.fr/hal-00569095
Contributeur : Antoine Madet <>
Soumis le : vendredi 10 juin 2011 - 13:14:02
Dernière modification le : mercredi 26 septembre 2012 - 09:57:00

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  • HAL Id : hal-00569095, version 2
  • ARXIV : 1102.4971

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Antoine Madet, Roberto M. Amadio. An Elementary affine λ-calculus with multithreading and side effects (extended version). 2011. <hal-00569095v2>

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