Discussion of Homotopy Type Theory and Univalent Foundations
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From: Ali Caglayan <alizter@gmail.com>
To: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: [HoTT] Re: TOWARDS A DIRECTED HOMOTOPY TYPE THEORY
Date: Fri, 3 Aug 2018 12:07:22 -0700 (PDT)	[thread overview]
Message-ID: <dfc894e8-eb14-417b-ad5a-84bd2022f908@googlegroups.com> (raw)
In-Reply-To: <f56f06c5-0991-4cce-8f8d-e0ef5b1baadf@googlegroups.com>


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Just realised I didn't include a link:

https://arxiv.org/pdf/1807.10566.pdf

On Friday, 3 August 2018 17:13:14 UTC+1, Ali Caglayan wrote:
>
> A preprint has appeared on the arXiv outlining a directed HoTT by Paige 
> Randall North. 
>
> Just from skimming so far it appears to be a standard Martin-Lof with a 
> core, op and hom-type.
>
> The core type gives the set of objects of a type (I suppose types are now 
> categories of sorts). The op type gives the opposite category, then the hom 
> type is the directed path type. 
>
> As far as I can tell this type theory has semantics in Cat.
>
> I would be interested on others thoughts on this.
>

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      reply	other threads:[~2018-08-03 19:07 UTC|newest]

Thread overview: 2+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2018-08-03 16:13 [HoTT] " Ali Caglayan
2018-08-03 19:07 ` Ali Caglayan [this message]

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