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From: Jamie Vicary <jamie.vicary@cs.ox.ac.uk>
To: Categories list <categories@mta.ca>
Subject: Re: Globular
Date: Sat, 5 Dec 2015 23:47:15 +0000	[thread overview]
Message-ID: <E1a5w1w-0004NG-OZ@mlist.mta.ca> (raw)

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On Sat, Dec 5, 2015 at 11:23 PM, Jamie Vicary <jamie.vicary@cs.ox.ac.uk> wrote:
> Dear category theorists,
>
> We're pleased to announce the launch of Globular, a web-based proof
> assistant for higher categories. It allows one to formalize
> higher-categorical proofs in finitely-presented n-categories,
> visualize them as string diagrams, and share them with collaborators,
> or with the world. It is available at this address:
>
>    - http://globular.science
>
> Documentation is being developed here:
>
>    - http://ncatlab.org/nlab/show/Globular
>
> There are already several examples of formalized proofs available,
> which give an idea of what Globular can be used for:
>
>    - Frobenius implies associative: http://globular.science/1512.004.
> (In a monoidal category, if multiplication and comultiplication
> morphisms are unital, counital and Frobenius, then they are
> associative and coassociative.)
>
>    - Strengthening an equivalence: http://globular.science/1512.007.
> (In a 2-category, an equivalence gives rise to an adjoint
> equivalence.)
>
>    - Swallowtail comes for free: http://globular.science/1512.006. (In
> a monoidal 2-category, a weakly-dual pair of objects gives rise to a
> strongly-dual pair, satisfying the swallowtail equations.)
>
>    - Pentagon and triangle implies $\lambda_I = \rho_I$:
> http://globular.science/1512.002. (In a monoidal 2-category, if a
> pseudomonoid object satisfies pentagon and triangle equations, then it
> satisfies $\lambda_I = \rho_I$.)
>
> The project is open source (or at least will be very soon), and we
> hope it will prove useful to many in the community.
>
> Best wishes,
> The Globular Team
> Krzysztof Bar, Aleks Kissinger and Jamie Vicary


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                 reply	other threads:[~2015-12-05 23:47 UTC|newest]

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