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n-Forum: probabilistic type theory

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    • CommentRowNumber1.
    • CommentAuthorAhmed
    • CommentTimeApr 18th 2018
    Was wondering if there would be interest in creating content around Probabilistic Type theory...
    • CommentRowNumber2.
    • CommentAuthorMike Shulman
    • CommentTimeApr 18th 2018

    We generally welcome all relevant contributions. Personally I know nothing about probabilistic type theory, but would be happy to learn. Check out How to get started, writing in the nLab, etc., and let us know what you’re doing.

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeApr 18th 2018

    Yes, definitely! I’ve been occasionally looking out for work in this direction. No doubt there’s a range of ideas fitting this description.

    Certainly there’s

    • Robin Adams, Bart Jacobs, A Type Theory for Probabilistic and Bayesian Reasoning, (arXiv:1511.09230)

    But then there’s work by computational linguists, such as A Probabilistic Rich Type Theory for Semantic Interpretation.

    Without using the name, ’probabilistic programming’ may involve a type theory: Semantics for probabilistic programming: higher-order functions, continuous distributions, and soft constraints

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