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Computer Science > Programming Languages

arXiv:2104.00480 (cs)
[Submitted on 1 Apr 2021]

Title:Idris 2: Quantitative Type Theory in Practice

Authors:Edwin Brady
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    Abstract: Dependent types allow us to express precisely what a
    function is intended to do. Recent work on Quantitative Type
    Theory (QTT) extends dependent type systems with linearity, also
    allowing precision in expressing when a function can run. This is
    promising, because it suggests the ability to design and reason
    about resource usage protocols, such as we might find in
    distributed and concurrent programming, where the state of a
    communication channel changes throughout program execution. As
    yet, however, there has not been a full-scale programming
    language with which to experiment with these ideas. Idris 2 is a
    new version of the dependently typed language Idris, with a new
    core language based on QTT, supporting linear and dependent
    types. In this paper, we introduce Idris 2, and describe how QTT
    has influenced its design. We give examples of the benefits of
    QTT in practice including: expressing which data is erased at run
    time, at the type level; and, resource tracking in the type
    system leading to type-safe concurrent programming with session
    types.

Comments: To appear in proceedings of ECOOP 2021
Subjects: Programming Languages (cs.PL)
Cite as:  arXiv:2104.00480 [cs.PL]
          (or arXiv:2104.00480v1 [cs.PL] for this version)

Submission history

From: Edwin Brady [view email]
[v1] Thu, 1 Apr 2021 14:09:56 UTC (300 KB)
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