Re: [HoTT] Re: Where is the problem with initiality?

[Thorsten Altenkirch <Thorsten....@nottingham.ac.uk>]

On 30/05/2018, 14:41, "homotopyt...@googlegroups.com on behalf of Thomas Streicher" <homotopyt...@googlegroups.com on behalf of stre...@mathematik.tu-darmstadt.de> wrote:

    On Wed, May 30, 2018 at 12:08:37PM +0000, Thorsten Altenkirch wrote:
    > Names are syntactic sugar. 
    > 
    > In the intrinsic syntax ine uses a form of typed de Bruijn. To relate them to name carrying syntax is straight forward.
    
    de Bruijn is just one part of the algebraization of syntax
    
    the algebraic language constains much more inclusing an awful lot of
    typing information which is usually inferred
    
Actually you can infer the implicit type information of the embedded system, that is I can leave certain parameters implicit (in the sense of implicit parameters in implementations of type theory which reflect mathematical practice).

Ok, you can say but I want to understand this inference. First of all that shouldn't really affect how you present the system, and actually as Ambrus has pointed out you can develop this inference algorithm based on the intrinsic syntax.

  




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