Glen writes:

"I had a conversation with a guy the other day who claims there are more Coq 
formulations of typical (continuum) math than the other assistants he was aware 
of.  But I wouldn't know one way or the other.  I don't know if there's a 
significant difference in use cases or domains for Agda vs. Coq (or Isabelle or 
whatever).  But if the demo targeted "intuitions", then I'd want to pick an 
evaluator that posed the least amount of work (for me!) to write sentences 
(theories) representing those intuitions."


Agda and Idris look more like Haskell, and are intended to be useful for 
implementation (thus more in my wheelhouse).   Coq is more established and may 
be better suited for what you want, especially if it is true there are relevant 
formulations (I don't know).


Marcus

________________________________
From: Friam <friam-boun...@redfish.com> on behalf of ┣glen┫ 
<geprope...@gmail.com>
Sent: Sunday, September 24, 2017 11:20:22 AM
To: FriAM
Subject: Re: [FRIAM] visualization of logic(s)

On 09/23/2017 12:36 PM, Frank Wimberly wrote:
> Disjunctive normal form might be useful in this visualization in that the 
> patterns of F and T might be more easily seen.

Yes, for focusing on logical sentences.  I can imagine generalizing it to any 
sort of predicate, though ... kinda like a MISD system, where the cells contain 
the instructions and the language is like the data.  Then the instructions 
could take any form and the "quick grok" would lie in however those cells were 
represented, colors, digits, alphabet, or whatever.

On 09/23/2017 09:53 PM, Marcus Daniels wrote:
> I wonder about people who work on stuff like this 
> <http://relmics.mcmaster.ca/RATH-Agda/>.   Agda also has this 
> <https://github.com/agda/agda-stdlib/tree/master/src/Algebra> in its standard 
> library.

Interesting.  I did have in mind using something like Coq to evaluate the 
status of each cell.  I had a conversation with a guy the other day who claims 
there are more Coq formulations of typical (continuum) math than the other 
assistants he was aware of.  But I wouldn't know one way or the other.  I don't 
know if there's a significant difference in use cases or domains for Agda vs. 
Coq (or Isabelle or whatever).  But if the demo targeted "intuitions", then I'd 
want to pick an evaluator that posed the least amount of work (for me!) to 
write sentences (theories) representing those intuitions.

--
␦glen?

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