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arXiv · 1502.04775

Geometry of Resource Interaction - A Minimalist Approach

Marco Solieri
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Abstract

The Resource $\lambda$-calculus is a variation of the $\lambda$-calculus where arguments can be superposed and must be linearly used. Hence it is a model for linear and non-deterministic programming languages, and the target language of Ehrhard-Taylor expansion of $\lambda$-terms. In a strictly typed restriction of the Resource $\lambda$-calculus, we study the notion of path persistence, and we define a Geometry of Interaction that characterises it, is invariant under reduction, and counts addends in normal forms.

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Marco Solieri. 2015-02-17. Geometry of Resource Interaction - A Minimalist Approach. https://doi.org/10.4204/eptcs.176.7

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