Re: [HoTT] Bishop's work on type theory

["Martín Hötzel Escardó" <"escardo..."@gmail.com>]

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(I know that, and probably Mike knows that too. Martin)

On Saturday, 5 May 2018 00:12:51 UTC+2, Bas Spitters wrote:
>
> Setoids were introduced by Martin Hofmann is his PhD-thesis. They were 
> "inspired" by Bishop; see p8: 
> www.lfcs.inf.ed.ac.uk/reports/95/ECS-LFCS-95-327/ECS-LFCS-95-327.ps 
>
> On Sat, May 5, 2018 at 12:04 AM, Martín Hötzel Escardó 
> <escar...@gmail.com <javascript:>> wrote: 
> > Hi Bas, 
> > 
> > Perhaps, to have this in context, we could add it to e.g. the HoTT web 
> page 
> > and/or the nlab. 
> > 
> > Do you know precise dates for these manuscripts? 
> > 
> > I am looking forward to seeing you in Bonn. 
> > 
> > Also, it would be nice to have Mike Shulman's questions answered or at 
> least 
> > addressed. 
> > 
> > Martin 
> > 
> > On Friday, 4 May 2018 23:57:09 UTC+2, Bas Spitters wrote: 
> >> 
> >> Hi Martin, 
> >> 
> >> These were discussed publically at some point. I've got them at around 
> >> 2000. 
> >> We never put them on the web, because Bishop had decided not to publish 
> >> them. 
> >> Since you are doing this now, it might be good to at least add a note 
> >> to that respect, so that people can put them in context. 
> >> 
> >> See you in Bonn! 
> >> 
> >> Bas 
> >> 
> >> On Fri, May 4, 2018 at 11:01 PM, Martín Hötzel Escardó 
> >> <escar...@gmail.com> wrote: 
> >> > This week I learned two interesting things that seem to be kept as a 
> >> > guarded 
> >> > secret: 
> >> > 
> >> > (1) Errett Bishop reinvented type theory. 
> >> > (2) He also explained how to compile it to Algol. 
> >> > 
> >> > I am adding a link to these two manuscripts. A nice quote from the 
> >> > second 
> >> > paper (Algol.pdf) is this, in my opinion, because it foresees things 
> >> > such as 
> >> > Agda, Coq, NuPrl, ... 
> >> > 
> >> > "The possibility of such a compilation demonstrates the existence of 
> a 
> >> > new 
> >> > type of programming language, one that contains theorems, proofs, 
> >> > quantifications, and implications, in addition to the more 
> conventional 
> >> > facilities for specifying algorithms" 
> >> > 
> >> > This was in the late 1960's (or correct me). Here is a link to both 
> >> > manuscripts: http://www.cs.bham.ac.uk/~mhe/Bishop/ 
> >> > 
> >> > Greetings from Bonn. 
> >> > Martin 
> >> 
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