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
Conference papers

Intersection Types for the Resource Control Lambda Calculi

Abstract : We propose intersection type assignment systems for two resource control term calculi: the lambda calculus and the sequent lambda calculus with explicit operators for weakening and contraction. These resource control calculi, /\® and /\®-Gtz, respectively, capture the computational content of intuitionistic natural deduction and intuitionistic sequent logic with explicit structural rules. Our main contribution is the characterisation of strong normalisation of reductions in both calculi. We first prove that typability implies strong normalisation in /\® by adapting the reducibility method. Then we prove that typability implies strong normalisation in /\®-Gtz by using a combination of well-orders and a suitable embedding of /\®-Gtz-terms into /\®-terms which preserves types and enables the simulation of all its reductions by the operational semantics of the /\®-calculus. Finally, we prove that strong normalisation implies typability in both systems using head subject expansion.
Complete list of metadata

Contributor : Pierre Lescanne Connect in order to contact the contributor
Submitted on : Thursday, December 22, 2011 - 8:28:12 PM
Last modification on : Monday, February 7, 2022 - 4:06:03 PM


  • HAL Id : ensl-00654755, version 1



Pierre Lescanne, Silvia Ghilezan, Jelena Ivetic, Silvia Likavec. Intersection Types for the Resource Control Lambda Calculi. Theoretical Aspects of Computing - ICTAC 2011 - 8th International Colloquium, Aug 2011, Johannesburg, South Africa. pp.116-134. ⟨ensl-00654755⟩



Record views