From mboxrd@z Thu Jan 1 00:00:00 1970 X-Received: by 10.25.16.93 with SMTP id f90mr2171249lfi.30.1477919274178; Mon, 31 Oct 2016 06:07:54 -0700 (PDT) X-BeenThere: homotopytypetheory@googlegroups.com Received: by 10.28.165.138 with SMTP id o132ls980624wme.5.canary-gmail; Mon, 31 Oct 2016 06:07:53 -0700 (PDT) X-Received: by 10.195.17.199 with SMTP id gg7mr2087131wjd.3.1477919273473; Mon, 31 Oct 2016 06:07:53 -0700 (PDT) Return-Path: Received: from mail-wm0-x22e.google.com (mail-wm0-x22e.google.com. [2a00:1450:400c:c09::22e]) by gmr-mx.google.com with ESMTPS id f4si1995921wmf.1.2016.10.31.06.07.53 for (version=TLS1_2 cipher=ECDHE-RSA-AES128-GCM-SHA256 bits=128/128); Mon, 31 Oct 2016 06:07:53 -0700 (PDT) Received-SPF: pass (google.com: domain of neelakantan....@gmail.com designates 2a00:1450:400c:c09::22e as permitted sender) client-ip=2a00:1450:400c:c09::22e; Authentication-Results: gmr-mx.google.com; dkim=pass head...@gmail.com; spf=pass (google.com: domain of neelakantan....@gmail.com designates 2a00:1450:400c:c09::22e as permitted sender) smtp.mailfrom=neelakantan....@gmail.com; dmarc=pass (p=NONE dis=NONE) header.from=gmail.com Received: by mail-wm0-x22e.google.com with SMTP id t79so46158259wmt.0 for ; Mon, 31 Oct 2016 06:07:53 -0700 (PDT) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20120113; h=subject:references:to:from:message-id:date:user-agent:mime-version :in-reply-to:content-transfer-encoding; bh=qVR890IJ5iqFgQqswlGo8aqypcKMghcU3tgwPKWAZFM=; b=uwz26o8JU9xDfaE5n+BWEnn7fSHQy9KdIr2T8GHs3R4kSuLCFCpH3Y6JrOrYJ+6QM/ DxEm4rlVlFAWE1q9/kP5v/fG1aAv4PfPZD1wDvpxC7pBKGMV9o+EXHm1BNCLPMzlVZCE Z+XgD7bAo82ffYuAvL5if6TN/ShmZG1g91g/kaS37VbOaTakYlXCoFG123H4NMLsZw07 TfP3ix2U23zzzjATRDwUtm5sPdzq6Mdbyqdl3L3j8H0bCRXroeLjrzO58oeJqEmFIPMn yF98CavZUP/ex1KstkXnmYhn2RU6RceqHsF0rb+f1NktxI7urgCYD1vLwnuOW9ICDprS DqcQ== X-Gm-Message-State: ABUngvcv0hgeruxYYwxqhQD7KMauLGrbr8Z7Ehy06axOtJYaqEqyrqwECC0bM+C+BEWpmA== X-Received: by 10.194.126.36 with SMTP id mv4mr22628181wjb.221.1477919273016; Mon, 31 Oct 2016 06:07:53 -0700 (PDT) Return-Path: Received: from sheaf.cl.cam.ac.uk (sheaf.cl.cam.ac.uk. [128.232.10.204]) by smtp.gmail.com with ESMTPSA id ya1sm29928065wjb.23.2016.10.31.06.07.52 for (version=TLS1_2 cipher=ECDHE-RSA-AES128-GCM-SHA256 bits=128/128); Mon, 31 Oct 2016 06:07:52 -0700 (PDT) Subject: MLTT with proof-relevant judgmental equality? References: <9ced56b8-66bb-4f7f-996e-bbbb84c227ab@googlegroups.com> <20161027194440.GA826@richard> <20161030205656.GA1487@richard> To: Homotopy Type Theory From: Neel Krishnaswami Message-ID: Date: Mon, 31 Oct 2016 13:07:51 +0000 User-Agent: Mozilla/5.0 (X11; Linux x86_64; rv:45.0) Gecko/20100101 Thunderbird/45.3.0 MIME-Version: 1.0 In-Reply-To: Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: 7bit Hello, Some time in the last year or two, I saw a reference to a draft paper which giving (roughly) a model for Martin-Loef type theory, weakened so that judgemental equality was proof-relevant. Unfortunately, I can't seem to find the message announcing the draft, and was wondering if anyone here remembered it (perhaps even because they wrote it). Thanks for your help! Best, Neel