Logic-ml April 2017

12 participants
12 discussions

Talk by Marc Bagnol (13 Apr 11:00-)
by Tetsuya Sato 08 Apr '17

08 Apr '17

京都大学数理解析研究所の佐藤です。 4月13日11:00から、東京大学のMarc Bagnol氏に以下の講演をしていただくことになりましたので、ご連絡いたします。どうぞお気軽にお越しください。 ========== Time: 11:00-12:00, 13 Apr, 2017 Place: Rm 478, Research Building 2, Main Campus, Kyoto University 京都大学本部構内総合研究2号館 4階478号室 http://www.kyoto-u.ac.jp/en/access/yoshida/main.html (Building 34) http://www.kyoto-u.ac.jp/ja/access/campus/map6r_y.htm (34番の建物) Speaker: Marc Bagnol (JSPS Postdoctoral Fellow, University of Tokyo) Title: A Free Trace Construction and the Embedding Problem Abstract: The notion of traced category allows to model feedback situations in the language of category theory. Traces are ubiquitous in mathematics and serve as the basis for the categorical formulation of Girard's Geometry of Interaction. The notion was extended to partially-defined traces by Scott and Haghverdi, and a representation theorem was later shown: any partially traced category can be embedded in a fully traced one. A related problem we are currently investigating with some RIMS members is understanding when a monoidal category can be embedded into a traced one, or equivalently when it can be equipped with a partial trace. This "embedding problem" has already seen a few tentative solutions, conditions that are necessary but turned out not to be sufficient which I will present and discuss. I will also present a construction of a free trace for monoidal categories that both can be used to prove the representation theorem mentioned above (this was its original purpose) and gives an angle to look at the embedding problem.

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Autumn school "Proof and Computation"
by Hajime Ishihara 07 Apr '17

07 Apr '17

Autumn school "Proof and Computation" Herrsching, Germany, 23rd to 26th September 2017 http://www.mathematik.uni-muenchen.de/~schwicht/pc17.php An international autumn school "Proof and Computation" will be held from 23rd to 26th September 2017 at Haus der bayerischen Landwirtschaft Herrsching in Herrsching near Munich. Its aim is to bring together young researchers in the field of Foundations of Mathematics, Computer Science and Philosophy. SCORE -------------------- - Predicative Foundations - Constructive Mathematics and Type Theory - Computation in Higher Types - Extraction of Programs from Proofs - Algorithmic Aspects in Financial Mathematics COURSES -------------------- - Mark Bickford on Constructive Analysis in NuPrl - Laura Crosilla on Foundations of Predicative Mathematics - Hajime Ishihara on Constructive Reverse Mathematics - Ulrich Kohlenbach on Proof Mining - Davide Rinaldi on Constructivising Transfinite Algebra - Andrei Rodin on Foundations of Axiomatic Mathematics - Gregor Svindland on Algorithmic Aspects in Financial Mathematics WORKING GROUPS -------------------- There will be an opportunity to form ad-hoc groups working on specific projects, but also to discuss in more general terms the vision of constructing correct programs from proofs. APPLICATIONS -------------------- Graduate or PhD students and young postdoctoral researches are invited to apply. Applications must be accompanied by a letter of recommendation, preferably from the thesis adviser, and should be sent to Chuangjie Xu (xu(a)math.lmu.de). DEADLINE for applications: **30th May 2017**. Applicants will be notified by 30th June 2017. FINANCIAL SUPPORT -------------------- The workshop is supported by the Udo Keller Stiftung (Hamburg), the CID (Computing with Infinite Data) programme of the European Commission and a JSPS core-to-core project. Successful applicants will be offered full-board accommodation for the days of the autumn school. There are no funds, however, to reimburse travel or further expenses, which successful applicants will have to cover otherwise. Klaus Mainzer Peter Schuster Helmut Schwichtenberg

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Logic-ml April 2017