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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Quantitative inhabitation for different lambda calculi in a unifying framework




Date(s) : 04/05/2023   iCal
11h00 - 12h30

We study the inhabitation problem for a language called 𝜆!, a subsuming paradigm (inspired by call-by-push-value) being able to encode Call-by-Name and Call-by-Value strategies of functional programming. The type specification uses a non-idempotent intersection type system, which is able to capture quantitative properties about the dynamics of programs. Our general methodology can be used to derive inhabitation algorithms for CbN and CbV lambda-calculi.

In the presentation, we detail the tools and explain the method solving this inhabitation problem. We will in particular explore the notion of approximants and their behaviour through the CbN and CbV encodings, the formers being at the core of the completeness of the method. We will also give a general overview of the inhabitation algorithm as well as a few insights on its termination.

https://www.irif.fr/~kesner/papers/popl23.pdf[su_spacer size= »10″]

Emplacement
I2M Luminy - Ancienne BU, Salle Séminaire2 (RdC)

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