Discussion of Homotopy Type Theory and Univalent Foundations
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From: Andrew Polonsky <andrew....@gmail.com>
To: "HomotopyT...@googlegroups.com" <HomotopyT...@googlegroups.com>
Subject: Is "classical" Hedberg's Theorem true?
Date: Tue, 20 Jun 2017 16:58:18 +0200	[thread overview]
Message-ID: <CABcT7WDPV95z5V-49r3ZBuf=zDPQu6uCVQWFnSyOwLXQPF4xgQ@mail.gmail.com> (raw)

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This could be a very interesting question:

Does every algebraic theory T with decidable word problem admit a coherent
presentation?

Here a presentation is "coherent" if it is such when T is considered as a
monoidal category.  See, for instance

@article{DBLP:journals/corr/CurienM17,
  author    = {Pierre{-}Louis Curien and
               Samuel Mimram},
  title     = {Coherent Presentations of Monoidal Categories},
  journal   = {CoRR},
  volume    = {abs/1705.03553},
  year      = {2017},
  url       = {http://arxiv.org/abs/1705.03553},
  timestamp = {Wed, 07 Jun 2017 14:42:32 +0200},
  biburl    = {http://dblp.uni-trier.de/rec/bib/journals/corr/CurienM17},
  bibsource = {dblp computer science bibliography, http://dblp.org}
}

Cheers,
Andrew

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                 reply	other threads:[~2017-06-20 14:58 UTC|newest]

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