From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/10622 Path: news.gmane.io!.POSTED.blaine.gmane.org!not-for-mail From: Reiko Heckel Newsgroups: gmane.science.mathematics.categories Subject: FW: Invitation: GReTA-ExACT online workgroup, Friday December 10, 2021, 15:00 CET Date: Mon, 6 Dec 2021 10:54:57 +0000 Message-ID: Reply-To: Reiko Heckel Mime-Version: 1.0 Content-Type: text/plain; charset="Windows-1252" Content-Transfer-Encoding: quoted-printable Injection-Info: ciao.gmane.io; posting-host="blaine.gmane.org:116.202.254.214"; logging-data="14403"; mail-complaints-to="usenet@ciao.gmane.io" To: "gratra@upb.de" , "categories@mta.ca" Original-X-From: majordomo@rr.mta.ca Wed Dec 08 03:46:35 2021 Return-path: Envelope-to: gsmc-categories@m.gmane-mx.org Original-Received: from smtp2.mta.ca ([198.164.44.75]) by ciao.gmane.io with esmtps (TLS1.2:ECDHE_RSA_AES_256_GCM_SHA384:256) (Exim 4.92) (envelope-from ) id 1mumyY-0003TJ-Jj for gsmc-categories@m.gmane-mx.org; Wed, 08 Dec 2021 03:46:34 +0100 Original-Received: from rr.mta.ca ([198.164.44.159]:37852) by smtp2.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1mumyX-0006rR-SY; Tue, 07 Dec 2021 22:46:33 -0400 Original-Received: from majordomo by rr.mta.ca with local (Exim 4.92.1) (envelope-from ) id 1mumwG-00065m-Sd for categories-list@rr.mta.ca; Tue, 07 Dec 2021 22:44:12 -0400 Content-Language: en-GB Precedence: bulk Xref: news.gmane.io gmane.science.mathematics.categories:10622 Archived-At: FYI, Reiko On 06/12/2021, 08:37, "GReTA Seminar organisers" wrote: Dear colleagues, It is our great pleasure to invite you to the next session of the =93GReTA-= ExACT - Executable Applied Category Theory=94 online workgroup: Friday December 10, 15:00 CET "Formalizing Category Theory using Type Theory: A Discussion", E.J. Gal= lego Arias (abstract, Zoom and YouTube links attached below) In the context of the GReTA - "Graph TRansformation Theory and Applications= " online seminar series hosted at IRIF (https://www.irif.fr/~greta/), the G= ReTA ExACT (Executable Applied Category Theory) online workgroup aims at pr= oviding an interdisciplinary forum for exploring the diverse aspects of app= lied category theory relevant in graph transformation systems and their gen= eralizations, in developing a methodology for formalizing diagrammatic proo= fs as relevant in rewriting theories via proof assistants such as Coq, and = in establishing a community-driven wiki system and repository for mathemati= cal knowledge in our research field (akin to a domain-specific Coq-enabled = variant of the nLab). A further research question will consist in exploring= the possibility for deriving reference prototype implementations of concre= te rewriting systems (e.g., over multi- or simple directed graphs) directly= from the category-theoretical semantics, in the spirit of the translation-= based approaches (utilizing theorem provers such as Microsoft Z3). Please = refer to https://www.irif.fr/~greta/gretaexact/ for further details (includ= ing information on how to register for participating in the Zoom meetings). With best regards, Nicolas Behr, Andrea Corradini, Jean Krivine and Reiko Heckel (GReTA organisers) ___________________________________________________ Date and time: Friday December 10, 2021, 15:00 CET Title: Formalizing Category Theory using Type Theory: A Discussion Speaker: Emilio Jes=FAs Gallego Arias (Universit=E9 de Paris, CNRS, IRIF, France) Abstract: Since its inception at the start of the 20th century, type theory has becom= e a core foundational tool for those interested in the logical foundations = of mathematics and computer science. A key milestone on the field is the Calculus of Inductive Constructions, th= e type theory that lies at the heart of modern interactive proof assistants= such as Coq or Lean. The CiC is remarkably expressive, yet remains computa= tionally tractable, leading to important milestones in computer-checked mat= hematical results such as the 4 color theorem or the Feit-Thompson theorem. In this talk, we will present the calculus of inductive constructions as cu= rrently implemented in the Coq proof assistant, and we will explore the enc= oding of basic constructions of category theory in Coq, placing a particula= r emphasis the usability and modularity of our definitions. Zoom registration link: https://u-paris.zoom.us/meeting/register/tZwrdO2hrDssHtEB5TYi6tZPmm2hn1QCrs= pV Link to YouTube live stream: https://youtu.be/lM0b3oHDunU ___________________________________________________ ---------------------------------------------------------------------------= - GReTA - Graph TRansformation Theory and Applications International Online Seminar Series ---------------------------------------------------------------------------= - Contact: greta@irif.fr Webpage: www.irif.fr/~greta YouTube: https://www.youtube.com/channel/UC6j-G6oPmkqCgOx6UQOUhSQ Twitter: https://twitter.com/GReTAseminars [For admin and other information see: http://www.mta.ca/~cat-dist/ ]