Client-Server Sessions in Linear Logic

Zesen Qian; G. A. Kavvos; Lars Birkedal

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arXiv · 2010.13926

Client-Server Sessions in Linear Logic

Zesen Qian·G. A. Kavvos·Lars Birkedal

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Abstract

We introduce coexponentials, a new set of modalities for Classical Linear Logic. As duals to exponentials, the coexponentials codify a distributed form of the structural rules of weakening and contraction. This makes them a suitable logical device for encapsulating the pattern of a server receiving requests from an arbitrary number of clients on a single channel. Guided by this intuition we formulate a system of session types based on Classical Linear Logic with coexponentials, which is suited to modelling client-server interactions. We also present a session-typed functional programming language for server-client programming, which we translate to our system of coexponentials.

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Zesen Qian, G. A. Kavvos, Lars Birkedal. 2020-10-26. Client-Server Sessions in Linear Logic. https://arxiv.org/abs/2010.13926

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