A λ-Calculus for Resource Separation

We present a typed λ-calculus for recording resource separation constraints between terms. The calculus contains a novel way of manipulating nested multi-place contexts augmented with constraints, allowing a concise presentation of the typing rules. It is an extension of the affine αλ-calculus. We give a semantics based on sets indexed by resources, and show how the calculus may be extended to handle non-symmetric relations with application to allowable information flow. Finally, we mention some future directions and questions we have about the calculus.

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